order of operations - positive algebraic expressions · order of operations - positive algebraic...

40
Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q - ( p - ( p - p)); use p =6, and q =8 2) y - (z - y) ÷5; use y =7, and z = 12 3) ( j - ( j - h)) ÷4; use h =8, and j = 13 4) b(b - a ÷3); use a = 15, and b = 13 5) 6- m + p + m; use m =2, and p =1 6) y + y 2 - x; use x =8, and y =4 7) y( x -8) - x; use x = 11, and y = 15 8) m(m - q ÷6); use m = 10, and q = 12 9) z 2 - ( x - 13); use x = 13, and z =1 10) 5+ y + x ÷6; use x = 12, and y =6 11) n - m(n - n); use m =4, and n = 15 12) y + y + x + 7; use x = 15, and y = 10 13) q - ( p - ( p -2)); use p =6, and q = 11 14) a - (a - (a - b)); use a = 15, and b =1 15) 8h - ( j + 12 ); use h =9, and j =1 16) y + y - x 3 ; use x =2, and y =7 17) n + m 2 - n; use m = 10, and n =6 18) y 2 x 2 ; use x =4, and y =3 19) p + m - (q - p); use m = 11, p = 12, and q = 14 20) n + (m + 12 ) ÷5; use m = 13, and n =2 21) 2( x - y + x); use x = 13, and y =9 22) x × ( y + x) ÷2; use x =6, and y =8 23) x - y + x - y; use x = 15, and y = 13 24) 8(q - (r - 10)); use q = 14, and r = 14 25) 2+ h + j 2 ; use h =2, and j =3 26) x + y - z ÷3; use x =2, y = 10, and z =3 27) a - (a - b ÷4); use a =9, and b =4 28) p + p + m + p; use m =4, and p = 15 29) m - m(n - n); use m = 11, and n =9 30) x 2 + y - x; use x =5, and y =6 31) x( x - ( y -6)); use x =7, and y = 11 32) 2 yx + y; use x =6, and y = 11 33) n(m - (n - n)); use m = 13, and n =5 34) j 2 h 2 ; use h =2, and j =6 35) 2+ y - ( x -9); use x = 11, and y = 12 36) (a - a) ÷6+ b; use a =9, and b =7 37) x - ( x - y 2 ) ; use x =9, and y =1 38) 6+ y 2 + x; use x = 13, and y =9 39) m 2 ( p + p); use m =5, and p =3 40) a - (1+ c) ÷2; use a = 11, and c =1 41) 5(n - (m - 13)); use m = 14, and n =8 42) 7(a + c + 11 ); use a =3, and c =2 43) (q(8- p)) ÷5; use p =1, and q =5 44) (10 - ( x - y)) ÷5; use x =9, and y =4 45) 6+ x - ( y - y); use x = 15, and y = 14 46) x 2 - y - y; use x = 11, and y = 15 47) mp + m + 11; use m =5, and p =6 48) ( j ( j + h)) ÷6; use h =3, and j =9 49) 2+ b + a + b; use a =5, and b = 15 50) x + z + z + y; use x = 14, y = 12, and z =2 51) p 2 (m + 4 ); use m =7, and p =2 52) m 2 - (n + n); use m =7, and n = 11 53) 2+ x - ( x - y); use x = 10, and y =7 54) x + y + x + y; use x =3, and y = 13 55) q × p ÷3- p; use p =9, and q =8 56) k - h - (14 - j ); use h = 11, j = 12, and k = 15 57) x(5 y - x); use x = 12, and y =3 58) (z + x + y) ÷3; use x = 14, y = 15, and z =4 59) b - (a -5) 2 ; use a =5, and b =2 60) y + x + y + x; use x =1, and y =4 61) n + nm -7; use m =7, and n = 14 62) m - m + p 2 ; use m =1, and p =5 63) p - p + m + p; use m = 14, and p =9 64) r(q - p ÷2); use p = 10, q = 10, and r =9 65) y - (10 - x) + y; use x =3, and y = 10 66) x( y + x ÷3); use x =3, and y =1 67) h(h - j ÷3); use h = 12, and j = 15 68) b(14 + a - a); use a =6, and b =5 69) h × 14 ÷ 2 - j ; use h = 14, and j = 11 70) 15 + 11 + y - x; use x =8, and y =3 71) 4n - m ÷4; use m =8, and n =2 72) ( p -6)(m + p); use m =1, and p =8 73) x ÷2( x - y); use x = 10, and y =7 74) z + z + yz; use y =4, and z =2 75) q - ( p - p) 2 ; use p =3, and q = 13 76) x + x + y 2 ; use x =6, and y =9 77) j 2 + h ÷5; use h =5, and j =3 78) y + x -2- y; use x =8, and y =6 79) b -6+ a -2; use a = 14, and b =8 80) 8-5+ h - k; use h =8, and k =6 81) p + m + p - p; use m = 10, and p = 11 82) 15 p + q - q; use p =4, and q =1 -1- You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

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Page 1: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

Order of operations - positive algebraic expressions

Evaluate each using the values given.

1)

q

(

p

(

p

p

)); use

p

= 6, and

q

= 8 2)

y

(

z

y

) ÷ 5; use

y

= 7, and

z

= 123)

(

j

(

j

h

)) ÷ 4; use

h

= 8, and

j

= 13 4)

b

(

b

a

÷ 3); use

a

= 15, and

b

= 135) 6 −

m

+

p

+

m

; use

m

= 2, and

p

= 1 6)

y

+

y

2 −

x

; use

x

= 8, and

y

= 47)

y

(

x

− 8) −

x

; use

x

= 11, and

y

= 15 8)

m

(

m

q

÷ 6); use

m

= 10, and

q

= 129)

z

2 −

(

x

− 13); use

x

= 13, and

z

= 1 10) 5 +

y

+

x

÷ 6; use

x

= 12, and

y

= 611)

n

m

(

n

n

); use

m

= 4, and

n

= 15 12)

y

+

y

+

x

+ 7; use

x

= 15, and

y

= 1013)

q

(

p

(

p

− 2)); use

p

= 6, and

q

= 11 14)

a

(

a

(

a

b

)); use

a

= 15, and

b

= 115) 8

h

(

j

+ 12); use

h

= 9, and

j

= 1 16)

y

+

y

x

3; use

x

= 2, and

y

= 717)

n

+

m

2 −

n

; use

m

= 10, and

n

= 6 18)

y

2

x

2; use

x

= 4, and

y

= 319)

p

+

m

(

q

p

); use

m

= 11,

p

= 12, and

q

= 1420)

n

+

(

m

+ 12) ÷ 5; use

m

= 13, and

n

= 2 21)

2(

x

y

+

x

); use

x

= 13, and

y

= 922)

x

×

(

y

+

x

) ÷ 2; use

x

= 6, and

y

= 8 23)

x

y

+

x

y

; use

x

= 15, and

y

= 1324)

8(

q

(

r

− 10)); use

q

= 14, and

r

= 14 25) 2 +

h

+

j

2; use

h

= 2, and

j

= 326)

x

+

y

z

÷ 3; use

x

= 2,

y

= 10, and

z

= 3 27)

a

(

a

b

÷ 4); use

a

= 9, and

b

= 428)

p

+

p

+

m

+

p

; use

m

= 4, and

p

= 15 29)

m

m

(

n

n

); use

m

= 11, and

n

= 930)

x

2 +

y

x

; use

x

= 5, and

y

= 6 31)

x

(

x

(

y

− 6)); use

x

= 7, and

y

= 1132) 2

yx

+

y

; use

x

= 6, and

y

= 11 33)

n

(

m

(

n

n

)); use

m

= 13, and

n

= 534)

j

2

h

2; use

h

= 2, and

j

= 6 35) 2 +

y

(

x

− 9); use

x

= 11, and

y

= 1236)

(

a

a

) ÷ 6 +

b

; use

a

= 9, and

b

= 7 37)

x

(

x

y

2); use

x

= 9, and

y

= 138) 6 +

y

2 +

x

; use

x

= 13, and

y

= 9 39)

m

2(

p

+

p

); use

m

= 5, and

p

= 340)

a

(1 +

c

) ÷ 2; use

a

= 11, and

c

= 1 41)

5(

n

(

m

− 13)); use

m

= 14, and

n

= 842)

7(

a

+

c

+ 11); use

a

= 3, and

c

= 2 43)

(

q

(8 −

p

)) ÷ 5; use

p

= 1, and

q

= 544)

(10 −

(

x

y

)) ÷ 5; use

x

= 9, and

y

= 4 45) 6 +

x

(

y

y

); use

x

= 15, and

y

= 1446)

x

2 −

y

y

; use

x

= 11, and

y

= 15 47)

mp

+

m

+ 11; use

m

= 5, and

p

= 648)

(

j

(

j

+

h

)) ÷ 6; use

h

= 3, and

j

= 9 49) 2 +

b

+

a

+

b

; use

a

= 5, and

b

= 1550)

x

+

z

+

z

+

y

; use

x

= 14,

y

= 12, and

z

= 2 51)

p

2(

m

+ 4); use

m

= 7, and

p

= 252)

m

2 −

(

n

+

n

); use

m

= 7, and

n

= 11 53) 2 +

x

(

x

y

); use

x

= 10, and

y

= 754)

x

+

y

+

x

+

y

; use

x

= 3, and

y

= 13 55)

q

×

p

÷ 3 −

p

; use

p

= 9, and

q

= 856)

k

h

(14 −

j

); use

h

= 11,

j

= 12, and

k

= 1557)

x

(5

y

x

); use

x

= 12, and

y

= 3 58)

(

z

+

x

+

y

) ÷ 3; use

x

= 14,

y

= 15, and

z

= 459)

b

(

a

− 5)2; use

a

= 5, and

b

= 2 60)

y

+

x

+

y

+

x

; use

x

= 1, and

y

= 461)

n

+

nm

− 7; use

m

= 7, and

n

= 14 62)

m

m

+

p

2; use

m

= 1, and

p

= 563)

p

p

+

m

+

p

; use

m

= 14, and

p

= 9 64)

r

(

q

p

÷ 2); use

p

= 10,

q

= 10, and

r

= 965)

y

(10 −

x

) +

y

; use

x

= 3, and

y

= 10 66)

x

(

y

+

x

÷ 3); use

x

= 3, and

y

= 167)

h

(

h

j

÷ 3); use

h

= 12, and

j

= 15 68)

b

(14 +

a

a

); use

a

= 6, and

b

= 569)

h

×

14 ÷ 2 −

j

; use

h

= 14, and

j

= 11 70) 15 + 11 +

y

x

; use

x

= 8, and

y

= 371) 4

n

m

÷ 4; use

m

= 8, and

n

= 2 72)

(

p

− 6)(

m

+

p

); use

m

= 1, and

p

= 873)

x

÷ 2(

x

y

); use

x

= 10, and

y

= 7 74)

z

+

z

+

yz

; use

y

= 4, and

z

= 275)

q

(

p

p

)2; use

p

= 3, and

q

= 13 76)

x

+

x

+

y

2; use

x

= 6, and

y

= 977)

j

2 +

h

÷ 5; use

h

= 5, and

j

= 3 78)

y

+

x

− 2 −

y

; use

x

= 8, and

y

= 679)

b

− 6 +

a

− 2; use

a

= 14, and

b

= 8 80) 8 − 5 +

h

k

; use

h

= 8, and

k

= 681)

p

+

m

+

p

p

; use

m

= 10, and

p

= 11 82) 15

p

+

q

q

; use

p

= 4, and

q

= 1

-1-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 2: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

83)

y

+

x

x

+ 15; use

x

= 10, and

y

= 10 84)

n

(

m

+ 4) ÷ 5; use

m

= 1, and

n

= 585) 11

k

(

k

h

); use

h

= 6, and

k

= 7 86)

y

+ 50 +

x

; use

x

= 12, and

y

= 787)

a

+

a

(

b

+

b

); use

a

= 15, and

b

= 11 88)

j

×

h

2 ÷ 4; use

h

= 8, and

j

= 289)

yx

− 6 −

y

; use

x

= 14, and

y

= 12 90)

x

+ 12 −

y

÷ 3; use

x

= 12, and

y

= 1591) 8

z

(

x

x

); use

x

= 1, and

z

= 12 92) 10 −

(

n

(

m

m

)); use

m

= 2, and

n

= 893)

m

(

p

+

p

) ÷ 4; use

m

= 10, and

p

= 14 94) 2 −

(4 −

(

q

r

)); use

q

= 4, and

r

= 195)

y

+

(

x

x

) ÷ 6; use

x

= 4, and

y

= 13 96)

x

(

y

+

x

− 7); use

x

= 12, and

y

= 397)

p

+ 6 +

pq

; use

p

= 6, and

q

= 9 98)

x

+

x

2 +

y

; use

x

= 6, and

y

= 999)

x

y

÷ 3 +

y

; use

x

= 15, and

y

= 15 100)

(

ab

+

a

) ÷ 6; use

a

= 8, and

b

= 14101) 2

x

+

x

(

z

z

); use

x

= 12, and

z

= 16102) 19 −

(

j

(6 −

h

÷ 4)); use

h

= 4, and

j

= 15103)

4(

n

5(

p

p

)); use

n

= 15, and

p

= 19104)

p

(

p

m

) −

(20 +

m

); use

m

= 1, and

p

= 12105)

z

+

z

+

12 ×

y

÷ 4; use

y

= 16, and

z

= 9106)

(17

q

(

p

− 10)) ÷ 4; use

p

= 18, and

q

= 12107)

5

x

(

y

y

) + 4; use

x

= 9, and

y

= 16 108)

x

+ 12 − 10 +

x

y

; use

x

= 15, and

y

= 13109) 20 −

qp

(

q

q

); use

p

= 15, and

q

= 17 110) 18 +

a

+

b

− 16; use

a

= 4, and

b

= 17111)

y

÷ 6(

y

x

) − 5; use

x

= 6, and

y

= 12112) 13 +

j

(13 −

j

+

h

); use

h

= 12, and

j

= 13113)

y

+

x

+

x

x

+

y

; use

x

= 12, and

y

= 9114)

p

+

p

+ 19 −

q

+

m

; use

m

= 9,

p

= 10, and

q

= 7115)

8(

y

(

x

+

y

y

)); use

x

= 10, and

y

= 14 116)

n

+

n

(

m

+

m

+

m

); use

m

= 1, and

n

= 13117)

(

16(

m

+

n

m

)) ÷ 4; use

m

= 18, and

n

= 10118)

p

(

r

r

) +

8 ÷ 4; use

p

= 15, and

r

= 12119)

zy

(

z

x

) − 11; use

x

= 7,

y

= 10, and

z

= 16120)

h

2 +

h

jh

; use

h

= 12, and

j

= 11 121)

b

4

a

÷ 4 −

a

; use

a

= 4, and

b

= 15122)

y

×

20 ÷ 4 −

(

x

+

y

); use

x

= 4, and

y

= 11 123)

p

+

pm

+

m

m

; use

m

= 10, and

p

= 7124) 20 −

(

m

+ 15) − 1 +

n

; use

m

= 1, and

n

= 11125) 16

y

x

3 ÷ 3; use

x

= 18, and

y

= 12 126)

x

+ 20 −

(

y

13); use

x

= 1, and

y

= 7127)

x

(

y

÷ 6 −

y

÷ 6); use

x

= 7, and

y

= 12 128)

r

(

rp

÷ 4 + 10); use

p

= 16, and

r

= 4129)

xy

+

y

×

12 ÷ 6; use

x

= 15, and

y

= 8130)

m

(

m

(9 +

n

÷ 4)); use

m

= 18, and

n

= 8131) 5

x

2 −

(

y

y

); use

x

= 4, and

y

= 8 132)

b

2 +

b

+

b

a

; use

a

= 13, and

b

= 13133)

z

− 5 +

y

x

+

z

; use

x

= 1,

y

= 5, and

z

= 13134) 6 +

m

2 −

(

n

n

); use

m

= 10, and

n

= 9 135)

p

+

p

+ 10

m

; use

m

= 18, and

p

= 5

136) 8

h

+

j

2 +

j

; use

h

= 13, and

j

= 9 137)

5(

yx

132); use

x

= 19, and

y

= 9138)

y

+

(

y

(

x

+

y

)) ÷ 2; use

x

= 15, and

y

= 10 139) 12

y

(

y

− 2 +

x

); use

x

= 16, and

y

= 6140)

m

+

m

(

n

(

m

m

)); use

m

= 7, and

n

= 6141) 20 + 18

q

(

p

+

p

); use

p

= 4, and

q

= 10 142)

y

+

x

+

y

2 ÷ 3; use

x

= 10, and

y

= 3143)

(

a

+

a

(

a

b

)) ÷ 6; use

a

= 13, and

b

= 11 144)

c

+ 3 +

b

+

b

2; use

b

= 7, and

c

= 1145)

142 −

(

x

+ 11

y

); use

x

= 7, and

y

= 7 146)

(

j

(10 −

(8 −

h

))) ÷ 3; use

h

= 1, and

j

= 7147)

p

+

m

(9 +

q

) ÷ 2; use

m

= 19,

p

= 3, and

q

= 5148)

q

(

p

+

p

(

q

q

)); use

p

= 5, and

q

= 8149)

(9 −

(14 −

m

)) ÷ 2 +

n

; use

m

= 7, and

n

= 4150) 9 −

x

(

z

z

) ÷ 6; use

x

= 4, and

z

= 14 151)

8(

(

x

− 10) ÷ 3 +

y

); use

x

= 13, and

y

= 4152)

x

+

y

(

x

+ 2) +

x

; use

x

= 16, and

y

= 8 153) 20 −

a

+ 14

b

+

b

; use

a

= 1, and

b

= 8154) 17 +

b

(19 −

a

+

b

); use

a

= 19, and

b

= 5155) 6 −

(

m

q

)(

p

p

); use

m

= 19,

p

= 1, and

q

= 17

-2-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 3: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

156)

y

+

7(

y

+

z

) + 7; use

y

= 5, and

z

= 12 157)

h

(

h

(

j

j

)) ÷ 6; use

h

= 2, and

j

= 5158)

n

+ 20 −

n

(

m

m

); use

m

= 16, and

n

= 1159)

m

(10 +

p

(17 −

p

)); use

m

= 16, and

p

= 6160)

r

q

÷ 6 +

p

+

r

; use

p

= 13,

q

= 6, and

r

= 2161)

x

2 −

(6 −

y

)2; use

x

= 5, and

y

= 2 162)

y

x

×

(

y

y

) ÷ 6; use

x

= 10, and

y

= 1

163)

y

(

y

2 −

x

) − 14; use

x

= 2, and

y

= 6 164)

h

j

2 −

(

j

j

); use

h

= 10, and

j

= 2165) 11 −

(

x

x

(

y

− 2)); use

x

= 14, and

y

= 2166)

p

8 ÷ 4 + 14

m

; use

m

= 8, and

p

= 19 167) 17 −

(16 +

b

a

) − 2; use

a

= 19, and

b

= 3168)

z

(

z

(

y

x

)) +

x

; use

x

= 11,

y

= 19, and

z

= 11169)

x

(8 −

y

) −

x

÷ 4; use

x

= 8, and

y

= 3 170)

(

m

(

n

+

n

+

n

)) ÷ 6; use

m

= 16, and

n

= 19171)

p

+

(

p

p

+

m

) ÷ 5; use

m

= 5, and

p

= 3 172)

x

÷ 2 +

y

2x

; use

x

= 2, and

y

= 4173)

(

y

z

)(

z

x

) −

y

; use

x

= 2,

y

= 20, and

z

= 9174)

x

+

x

×

(

x

+

y

) ÷ 5; use

x

= 5, and

y

= 20 175)

h

+

h

h

+

j

+

j

; use

h

= 11, and

j

= 20176)

(

p

q

÷ 4)(1 +

p

); use

p

= 14, and

q

= 4 177)

(

a

+

b

)(

b

+

b

) −

a

; use

a

= 20, and

b

= 1178) 5

y

y

(

x

+

x

); use

x

= 19, and

y

= 17 179)

j

(

(

k

k

)2 + 2); use

j

= 17, and

k

= 14180)

n

+

m

+ 3 −

(

m

n

); use

m

= 17, and

n

= 17181)

m

m

(

p

m

÷ 5); use

m

= 5, and

p

= 1 182)

q

+

p

2 −

p

2; use

p

= 14, and

q

= 2183)

112 +

y

x

÷ 2; use

x

= 14, and

y

= 18184)

5(

yz

(

x

+

x

)); use

x

= 11,

y

= 2, and

z

= 17185)

(

yx

+ 18 +

x

) ÷ 4; use

x

= 2, and

y

= 18 186)

x

+

y

(

y

+

y

) ÷ 4; use

x

= 20, and

y

= 14187)

a

+

b

+

8 ÷ 4 +

a

; use

a

= 8, and

b

= 19 188) 2

j

k

k

÷ 6; use

j

= 15, and

k

= 6189)

2(

h

+

h

) −

j

÷ 6; use

h

= 11, and

j

= 18 190)

p

+ 2 +

m

+ 15 +

m

; use

m

= 6, and

p

= 19191)

(

y

+ 17)(20 −

(

x

+ 2)); use

x

= 14, and

y

= 15192)

8(

q

p

×

q

÷ 4); use

p

= 3, and

q

= 20 193)

(

y

+

(

y

+

x

)2) ÷ 5; use

x

= 11, and

y

= 16194)

nm

+

m

+

m

÷ 5; use

m

= 5, and

n

= 15 195)

x

x

+

y

4 ÷ 4; use

x

= 11, and

y

= 20196)

(

y

+

y

2 +

x

) ÷ 4; use

x

= 8, and

y

= 12 197)

a

2 − 12 −

(

b

b

); use

a

= 9, and

b

= 16198)

z

÷ 2(

x

z

÷ 2); use

x

= 17, and

z

= 10 199)

5(

j

+

h

) −

(19 −

h

); use

h

= 17, and

j

= 13200)

j

(

j

(

h

j

) ÷ 4); use

h

= 20, and

j

= 16201)

y

+

y

(

y

x

); use

x

= 3.3, and

y

= 8.2 202) 11 −

(

p

p

) ÷

m

; use

m

= 7.5, and

p

= 4.6203) 6

y

+

x

2; use

x

= 7.4, and

y

= 9.1 204)

q

+ 13 +

p

− 6; use

p

= 3.1, and

q

= 12.713205)

m

2(

p

− 7); use

m

= 3.2, and

p

= 12.6206)

(

x

y

) ÷

x

+ 15; use

x

= 7.4, and

y

= 2.639207)

q

÷ (

r

r

+

r

); use

q

= 12.1, and

r

= 5.3 208)

y

− 10 +

y

x

; use

x

= 11.5, and

y

= 14.3209)

y

×

x

÷ 3

y

; use

x

= 11.381, and

y

= 10.4 210)

(

b

a

)(

b

+

a

); use

a

= 7.2, and

b

= 10.9211)

y

+

(

x

÷

x

)2; use

x

= 7.2, and

y

= 9.19 212)

h

÷

j

+ 12 −

h

; use

h

= 11.5, and

j

= 13213)

qm

×

q

÷ 2; use

m

= 7.1, and

q

= 5.26 214)

n

m

(

n

n

); use

m

= 11.4, and

n

= 11.359215)

x

÷

y

(

x

+

y

); use

x

= 11.3, and

y

= 1.9 216)

9 ×

r

÷ (

q

+

r

); use

q

= 4.1, and

r

= 8217)

x

×

(

y

+ 7) ÷

y

; use

x

= 7, and

y

= 2.8 218)

y

2(2 −

x

); use

x

= 1.29, and

y

= 5.4219)

h

+ 2 +

h

+

j

; use

h

= 11.76, and

j

= 1.1 220)

ab

+

b

÷ 4; use

a

= 11.1, and

b

= 10.005221)

p

(

q

+

q

) ÷

p

; use

p

= 11.2, and

q

= 5 222)

n

(

n

+

n

) −

m

; use

m

= 1.2, and

n

= 4.6223)

(

y

(

x

x

)) ÷

y

; use

x

= 11.1, and

y

= 2.4 224)

(

z

− 1 +

x

) ÷

z

; use

x

= 1.1, and

z

= 12.9225)

(

m

(

m

m

)) ÷

p

; use

m

= 11, and

p

= 6.7 226)

y

(

y

x

) ÷ 1; use

x

= 1, and

y

= 10.13227)

q

2 − 11 −

p

; use

p

= 1, and

q

= 6.3 228)

m

3 ×

3 ÷

n

; use

m

= 2.27, and

n

= 13.1229)

x

(

x

+ 8) ÷

y

; use

x

= 10.9, and

y

= 8.65 230)

y

+

y

(

x

− 2); use

x

= 5.2, and

y

= 8.5231)

(

b

+

c

) ÷

a

+

c

; use

a

= 12.25,

b

= 11, and

c

= 8.58232)

j

+

h

+ 7

j

; use

h

= 5.1, and

j

= 7.2 233)

m

2 +

8 ÷

n

; use

m

= 5.1, and

n

= 13.36234)

p

×

3 ÷ (

m

+

p

); use

m

= 14.9, and

p

= 10.6

-3-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 4: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

235)

y

(

y

− 5 +

x

); use

x

= 4.9, and

y

= 8.9236)

z

(

y

+

x

) ÷

z

; use

x

= 9.1,

y

= 9.8, and

z

= 9.9237)

p

q

÷

92; use

p

= 4.9, and

q

= 13.2238)

(

m

n

) ÷

n

+

m

; use

m

= 14.8, and

n

= 12.4239)

y

2 +

x

y

; use

x

= 14.7, and

y

= 11.1 240)

n

÷ 13 ×

m

÷

n

; use

m

= 9, and

n

= 12.8241)

a

÷ (

b

+

b

a

); use

a

= 4.8, and

b

= 13.83 242)

y

÷

z

×

y

2; use

y

= 10.7, and

z

= 13.1243) 12 +

h

2 −

j

; use

h

= 9, and

j

= 11.06 244) 12

x

+

2 ÷

y

; use

x

= 8.9, and

y

= 11.5245)

n

÷

m

(

n

− 7); use

m

= 4.6, and

n

= 13.7246)

z

2 −

y

÷

x

; use

x

= 8.8,

y

= 6.809, and

z

= 4.6247)

m

÷ (

p

+ 1 +

p

); use

m

= 4.7, and

p

= 15248)

(

p

+

q

) ÷ (

p

− 4); use

p

= 8.8, and

q

= 11.53249)

x

÷ (

x

+ 11 +

y

); use

x

= 4.5, and

y

= 10.736250)

7

a

÷ 6

c

; use

a

= 7.26, and

c

= 9.5 251)

z

z

(

x

x

); use

x

= 13, and

z

= 6.23252)

hk

2 ÷

j

; use

h

= 12.9,

j

= 1.3, and

k

= 3.8 253)

x

×

(

y

+

y

) ÷

x

; use

x

= 8.6, and

y

= 3.5254)

q

×

m

÷ 12 +

m

; use

m

= 8.6, and

q

= 8.9255)

y

+

y

(

x

+

x

); use

x

= 12.8, and

y

= 14.76256)

(

a

(13 −

a

)) ÷

b

; use

a

= 12.8, and

b

= 5.7 257)

(

n

+

m

m

) ÷ 4; use

m

= 8.5, and

n

= 12258)

(

14(

y

+

x

)) ÷

x

; use

x

= 8.4, and

y

= 5.2 259)

28 ÷ (

p

+

q

); use

p

= 12.6, and

q

= 7.4260)

y

+

x

÷ 10 −

y

; use

x

= 2.8, and

y

= 4 261) 12 −

(5 −

x

÷

y

); use

x

= 11.26, and

y

= 3262)

x

13 ÷

y

; use

x

= 12.5, and

y

= 1.22 263)

(

b

b

2) ÷

a

; use

a

= 12.6, and

b

= 12.2264)

(

j

(

h

h

)) ÷ 6; use

h

= 1.77, and

j

= 14.9 265)

(15

a

c

) ÷

c

; use

a

= 4.683, and

c

= 6266)

pq

(

m

m

); use

m

= 12.4,

p

= 9.1, and

q

= 7.2267)

y

×

x

÷ (

y

+

y

); use

x

= 2.6, and

y

= 11.3268)

m

+

q

+

p

÷

m

; use

m

= 2.5,

p

= 10, and

q

= 10.4269)

n

÷

m

(8 +

m

); use

m

= 12.4, and

n

= 7.9 270)

p

÷

q

(7 − 4); use

p

= 2.4, and

q

= 2.746271)

(

z

2 +

y

) ÷ 2; use

y

= 1.69, and

z

= 7 272)

x

2 −

(

y

+ 15); use

x

= 5.78, and

y

= 14.2273)

j

2 +

h

2; use

h

= 6.6, and

j

= 9.6 274) 3

y

+

y

z

; use

y

= 11.8, and

z

= 2.5275)

9 ÷

x

+

y

+

y

; use

x

= 6.5, and

y

= 13.13 276)

b

a

÷ (13 +

a

); use

a

= 2.4, and

b

= 13277)

m

÷

m

+

n

n

; use

m

= 2.2, and

n

= 1.392 278)

x

x

+

y

+

y

; use

x

= 2.1, and

y

= 13.5279)

p

+

p

÷

q

p

; use

p

= 6.3, and

q

= 1.6 280)

(

y

+

x

2) ÷

x

; use

x

= 6.3, and

y

= 14.4281)

xy

y

+

x

; use

x

= 2, and

y

= 3.7 282)

p

+

pm

+ 4; use

m

= 6.4, and

p

= 2.16283) 9

h

(

j

+ 12); use

h

= 10.5, and

j

= 2.36284) 11

b

(

a

+

c

); use

a

= 10.4,

b

= 4.804, and

c

= 6.8285)

(

j

(

j

+

h

)) ÷

j

; use

h

= 6.1, and

j

= 3.3 286)

x

÷ (

x

(

y

− 9)); use

x

= 6.2, and

y

= 13.6287)

n

÷

n

m

÷ 9; use

m

= 1.31, and

n

= 11.2 288)

(

x

+

x

) ÷

y

+

x

; use

x

= 10.3, and

y

= 5.5289)

y

÷

x

(

y

+

y

); use

x

= 14.8, and

y

= 7 290)

x

+ 13 +

yx

; use

x

= 5.9, and

y

= 14.07291)

p

(14 −

p

) ÷

q

; use

p

= 10.2, and

q

= 2.82292)

(

h

(

h

j

)) ÷

h

; use

h

= 14.4, and

j

= 3.8293)

x

÷ (

x

+

y

) + 1; use

x

= 10.1, and

y

= 11.31294)

y

+

y

+

y

+

x

; use

x

= 7.044, and

y

= 4.8 295)

ba

+

8 ÷

b

; use

a

= 14.3, and

b

= 8.1296)

m

+ 4 −

n

+

n

; use

m

= 9.9, and

n

= 3.29 297)

x

÷ 2

y

2; use

x

= 14.2, and

y

= 4.316298)

j

+

j

+ 8 −

h

; use

h

= 10, and

j

= 4.6299)

p

+

m

÷ (

m

p

); use

m

= 10.29, and

p

= 8.3300)

x

y

+

y

3; use

x

= 9.9, and

y

= 2.096 301)

8(

x

y

) +

x

÷

y

; use

x

= 5.8, and

y

= 2.5302)

(

x

+

x

x

)(

y

+

x

); use

x

= 5.2, and

y

= 10.9303)

h

+

j

+ 15 −

(

j

− 3); use

h

= 4.6, and

j

= 11304)

3(12 −

q

+

p

q

); use

p

= 19.36, and

q

= 1.4305)

(

y

(

y

z

)) ÷ (

y

+

z

); use

y

= 16.963, and

z

= 13.7

-4-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 5: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

306)

(

b

+

b

) ÷ (

a

(

c

− 5)); use

a

= 14.2,

b

= 9.8, and

c

= 7.4307) 7 +

j

÷

h

+ 5

j

; use

h

= 5.2, and

j

= 11.05308)

10 ÷ (

p

(

m

n

)) +

m

; use

m

= 14.7,

n

= 9, and

p

= 9.5309) 12 −

(

x

(

y

y

)) ÷ 15; use

x

= 4.6, and

y

= 19.6310)

p

(

m

(

m

p

)) −

m

; use

m

= 14.2, and

p

= 9311)

(

y

(

x

(

y

y

))) ÷

x

; use

x

= 5.2, and

y

= 9.1312)

p

+

q

(

q

÷

q

)3; use

p

= 4.6, and

q

= 17.6313)

x

2 ÷ (16 −

(

y

− 11)); use

x

= 14.1, and

y

= 15.27314) 1 +

y

(

z

(

z

z

)); use

y

= 15.609, and

z

= 2.1315)

x

÷

yz

(1 + 12); use

x

= 4.6,

y

= 7.1, and

z

= 18.58316)

(

p

+

q

) ÷

q

16 ÷

p

; use

p

= 13.5, and

q

= 16.52317)

a

(

a

+

b

+

a

2); use

a

= 4, and

b

= 7.1318)

y

+

y

+

z

(

x

+

x

); use

x

= 13.5,

y

= 15.7, and

z

= 17.1319) 6 −

(

j

(

h

j

)) ÷

h

; use

h

= 14.1, and

j

= 7.2320) 6

n

+ 20 −

(

m

m

); use

m

= 4.5, and

n

= 18.24321)

p

÷ 19 +

m

×

4 ÷ 5; use

m

= 15.395, and

p

= 8.6322)

x

(

(

y

+

x

) ÷

x

+

y

); use

x

= 14.1, and

y

= 1.73323) 19

q

p

(

q

q

); use

p

= 13.5, and

q

= 5.2324)

p

×

17 ÷ (

q

p

+

q

); use

p

= 3.3, and

q

= 13.8325)

y

z

+

y

z

÷

y

; use

y

= 13.7, and

z

= 12.7326)

b

÷ (5

a

(10 +

b

)); use

a

= 19.998, and

b

= 15.3327) 10 −

y

÷ (

x

(

x

x

)); use

x

= 13.4, and

y

= 13.8328)

(

hj

h

) ÷ (9 − 1); use

h

= 3.9, and

j

= 12.901329)

z

y

×

y

÷

113; use

y

= 16.828, and

z

= 13.1330)

nm

(

m

m

) +

n

; use

m

= 13.4, and

n

= 11.8331)

m

− 5 −

m

÷ (

m

+

p

); use

m

= 12.8, and

p

= 11.8332)

nm

×

n

÷ 5

n

; use

m

= 3.3, and

n

= 11.9 333)

x

÷ (

y

2 + 4 +

x

); use

x

= 8.89, and

y

= 2.9334)

yx

÷ (

y

(

x

− 3)); use

x

= 7.38, and

y

= 11.4335)

p

+

p

+

q

+

q

− 15; use

p

= 12.2, and

q

= 11.42336)

x

2 +

y

+

y

y

; use

x

= 12.8, and

y

= 10.17337)

x

+

y

− 6 −

(

x

x

); use

x

= 12.2, and

y

= 18.4338)

h

×

j

÷ (

h

+

h

) + 9; use

h

= 15.4, and

j

= 18.1339)

x

(2

y

x

) +

x

; use

x

= 3.2, and

y

= 9.9340)

12 ×

b

÷

ca

a

; use

a

= 2.6,

b

= 9.9, and

c

= 13.1341)

(

m

+

n

)2 ÷ (

n

p

); use

m

= 3.2,

n

= 18.5, and

p

= 10.9342)

13

m

2 ÷ (

p

+

m

); use

m

= 2.6, and

p

= 18.5 343)

p

+

n

+

np

+

n

; use

n

= 10.192, and

p

= 6.8344) 18 −

(

y

x

÷

x

) +

x

; use

x

= 12.7, and

y

= 15.64345)

y

y

÷

(

z

2)3; use

y

= 8, and

z

= 14.4 346)

(

p

(

q

+

p

+

p

)) ÷

p

; use

p

= 2, and

q

= 16.5

347)

(20 −

x

)2 ÷ (

y

+

x

); use

x

= 2.6, and

y

= 16.5348)

(20 +

a

(

a

+ 9)) ÷

b

; use

a

= 11.5, and

b

= 5.9349)

x

3 + 17 +

x

÷

z

; use

x

= 2, and

z

= 12.1 350)

(

h

h

3) ÷ (

j

h

); use

h

= 2.6, and

j

= 5.36351)

y

x

14 ÷

z

+

x

; use

x

= 12.1,

y

= 16.6, and

z

= 16.61352)

2 ÷

p

+

pm

+ 4; use

m

= 11.5, and

p

= 14.6353)

m

÷ 16 −

(

n

÷

m

)2; use

m

= 12.1, and

n

= 6.1354)

p

n

÷ (

p

(

p

+

m

)); use

m

= 1.9,

n

= 14.7, and

p

= 2.8355)

y

2x

x

÷

y

; use

x

= 12.1, and

y

= 4 356)

yz

÷ (

y

z

) +

z

; use

y

= 4.1, and

z

= 3.4357)

b

+

a

÷ 18 +

a

+

a

; use

a

= 1.3, and

b

= 12.7

-5-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 6: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

358)

y

(14 −

y

) + 5

x

; use

x

= 7.91, and

y

= 8.4359)

(

x

+ 19) ÷ (

y

(

y

y

)); use

x

= 10.9, and

y

= 2.1360)

(

j

h

(

j

j

)) ÷

j

; use

h

= 9.41, and

j

= 10.7361)

b

2 +

18(

a

+

a

); use

a

= 1.9, and

b

= 2.1 362)

(

p

+

m

)(

p

2 +

m

); use

m

= 1.3, and

p

= 2.2363)

q

q

÷

p

p

÷

q

; use

p

= 10.9, and

q

= 10.83364)

zy

y

z

÷ 17; use

y

= 10.7, and

z

= 10.4 365)

13

y

÷ (17 −

x

3); use

x

= 1.8, and

y

= 10.8366)

8 ÷ (11 −

(

n

p

) +

n

); use

n

= 6.8, and

p

= 5.8367)

(

p

2 +

p

+

p

) ÷

q

; use

p

= 19.8, and

q

= 19.3368) 12 −

(

b

a

) +

b

+

a

; use

a

= 10.2, and

b

= 19.4369)

(

j

+

j

) ÷ (

h

+

j

2); use

h

= 1.2, and

j

= 8.8370)

y

+

y

x

÷ (

y

x

); use

x

= 10.8, and

y

= 19.3371)

z

x

2 −

(2 +

x

); use

x

= 1.3, and

z

= 16.6372)

b

×

(

b

+

a

) ÷ 13

a

; use

a

= 10.8, and

b

= 2.75373)

p

m

1 ÷

m

+

m

; use

m

= 10.2, and

p

= 17.3374)

m

+

n

+ 3 −

m

m

; use

m

= 19.7, and

n

= 17.5375) 9 +

yx

(

x

y

); use

x

= 10.2, and

y

= 6.9376) 12 +

m

+

m

p

m

; use

m

= 10.7, and

p

= 6.8377)

p

q

÷

p

×

p

÷ 17; use

p

= 9.6, and

q

= 6.9378)

22 +

a

+

b

÷

a

; use

a

= 19.1, and

b

= 15.4 379)

112 +

y

÷

x

+

x

; use

x

= 1.2, and

y

= 17.4380)

h

÷

j

(13 +

hj

); use

h

= 10.1, and

j

= 15.5381)

p

(19 −

p

) −

(

m

− 9); use

m

= 19.1, and

p

= 5382)

p

+

72 ÷ (

p

+

m

); use

m

= 9.5, and

p

= 12.6383) 12 −

x

+

x

÷

yx

; use

x

= 10.1, and

y

= 5384)

p

(

m

+

p

2) +

p

; use

m

= 19.6, and

p

= 4.054385)

7

x

×

(

x

y

) ÷

x

; use

x

= 19, and

y

= 13.6 386)

a

+

b

ab

÷ 15; use

a

= 19.7, and

b

= 4.9387)

x

+

y

+

y

y

+

y

; use

x

= 9.5, and

y

= 3388)

p

q

(

q

+

p

÷ 19); use

p

= 18.5, and

q

= 3389)

x

+

y

+ 8

y

2; use

x

= 16.45, and

y

= 3.8390)

b

+

b

(

b

(

a

+ 2)); use

a

= 9.4, and

b

= 16.66391)

k

+

j

+

h

k

j

; use

h

= 19,

j

= 11.5, and

k

= 8.3392)

(7 −

y

) ÷

x

y

÷ 17; use

x

= 19, and

y

= 1.1393)

m

×

9 ÷

n

+

n

+

n

; use

m

= 18.4, and

n

= 1.1394)

p

×

m

÷ (

m

+ 9 +

p

); use

m

= 7.148, and

p

= 2.1395)

h

2 −

j

+ 15 +

j

; use

h

= 8.9, and

j

= 1 396)

xy

÷ (

x

(

y

+

x

)); use

x

= 8.8, and

y

= 9.6397)

p

(18 −

(1 + 6 +

q

)); use

p

= 8.2, and

q

= 9.7398)

k

+

h

+

h

+

k

− 14; use

h

= 16.46, and

k

= 15.8399)

x

+

y

+ 1 + 18 −

y

; use

x

= 18.4, and

y

= 18.1400)

(

b

2(

a

b

)) ÷

b

; use

a

= 11.751, and

b

= 8.8 401)

(

x

+

x

) ÷ (6 +

z

); use

x

= 5

12

, and

z

= 1

23

402)

m

2(

m

+

n

); use

m

=

15

, and

n

= 7

215

403)

h

÷ (

j

2 −

h

); use

h

=

32

, and

j

= 3

13

404)

x

+

x

+

y

+ 11; use

x

= 2

15

, and

y

=

23

405)

p

+

r

+

4

r

; use

p

= 4

29

, and

r

= 14

406)

(

x

y

) ÷ 12

y

; use

x

= 4

712

, and

y

= 2 407)

p

+ 7 + 9 +

q

; use

p

= 1

613

, and

q

= 1

408)

y

y

+ 9 −

x

; use

x

=

2615

, and

y

= 7

12

409)

y

+ 11 − 3 −

x

; use

x

= 2

12

, and

y

= 7

-6-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 7: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

410)

h

+

j

+

j

+ 10; use

h

= 3

29

, and

j

=

715

411)

j

×

(

h

j

) ÷

h

; use

h

= 6

713

, and

j

= 4

16

412)

(

y

(12 −

y

)) ÷

z

; use

y

= 7

910

, and

z

=

1811

413)

a

+

b

÷

a

2; use

a

=

25

, and

b

=

54

414)

p

+ 44

q

; use

p

= 5

813

, and

q

= 2

311

415)

(4 +

m

)(12 −

n

); use

m

= 6

89

, and

n

=

14

416)

p

(

m

2)2; use

m

=

1013

, and

p

=

107

417)

z

y

2 ÷

x

; use

x

=

12

,

y

=

16

, and

z

=

67

418)

q

÷

(6

p

)2; use

p

=

19

, and

q

= 7

49

419)

y

x

(

y

+

x

); use

x

= 7

56

, and

y

= 4

115

420)

y

(

x

x

) −

x

; use

x

=

23

, and

y

= 10

211

421)

x

+

yx

y

; use

x

= 2

27

, and

y

=

711

422)

(

m

+

m

+ 4) ÷

n

; use

m

= 2, and

n

=

23

423)

h

+

11(

j

+ 6); use

h

= 1, and

j

= 5

25

424)

a

b

(

c

c

); use

a

= 7

310

,

b

= 3

19

, and

c

=

12

425)

q

×

q

÷ (15 +

p

); use

p

= 5

29

, and

q

= 7

23

426)

8

xy

x

; use

x

=

16

, and

y

=

114

427) 5 +

p

q

2; use

p

= 1, and

q

=

813

428)

138

z

y

; use

y

= 4

811

, and

z

=

413

429)

x

2(

y

+

y

); use

x

=

110

, and

y

= 5

34

430)

r

÷ (

p

+ 1 − 2); use

p

= 2

914

, and

r

= 3

110

431)

m

÷ (

m

+ 6) +

n

; use

m

= 4

34

, and

n

= 5

34

432)

(

x

+

x

) ÷

x

y

; use

x

=

127

, and

y

=

74

433)

j

÷ (

h

(

j

+

h

)); use

h

=

34

, and

j

= 2

613

434) 10 +

y

+

x

2; use

x

=

1011

, and

y

= 3

435)

(

q

+

p

) ÷ (5 +

p

); use

p

= 2, and

q

= 4

47

436)

a

b

(

a

a

); use

a

= 6

1114

, and

b

= 1

23

437)

3

p

2

m

; use

m

=

118

, and

p

= 6

59

438) 7

x

+

x

y

; use

x

= 11, and

y

= 1

439)

y

(

z

(

y

y

)); use

y

=

34

, and

z

= 2 440)

p

p

+

p

q

; use

p

= 2, and

q

=

1511

441)

j

h

+

h

+ 4; use

h

= 2, and

j

= 1 442)

y

(

y

x

+

x

); use

x

= 6

411

, and

y

= 11

443)

a

×

b

÷ (

a

+

b

); use

a

= 4

15

, and

b

=

1910

444)

(

n

(5 +

m

)) ÷ 1; use

m

=

179

, and

n

= 4

15

445)

y

(

x

(3 −

x

)); use

x

= 2, and

y

= 6

12

446)

(

m

+ 7)(13 +

p

); use

m

=

65

, and

p

= 2

447)

y

3 −

x

; use

x

= 1

12

, and

y

= 2 448)

(

m

+

p

)2 ÷

m

; use

m

= 7

1112

, and

p

=

169

449)

rp

(

q

+ 2); use

p

= 2

49

,

q

=

127

, and

r

= 3

58

450)

a

+

a

c

+ 11; use

a

= 7

19

, and

c

= 1

23

451)

9

x

(

x

y

); use

x

= 14, and

y

=

1714

452)

k

2 −

j

+

h

; use

h

= 7

112

,

j

=

14

, and

k

= 5

712

-7-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 8: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

453)

y

2 −

(14 +

x

); use

x

=

65

, and

y

= 6

56

454)

6(

z

+

x

+ 1); use

x

= 1, and

z

= 5

23

455) 12

p

+

mp

; use

m

= 2

513

, and

p

=

13

456)

p

8+

p

+

m

; use

m

= 2, and

p

= 7

1011

457)

p

(

p

+

q

p

); use

p

= 13, and

q

= 6

49

458)

8 ×

(8 +

x

) ÷

y

; use

x

= 6

310

, and

y

=

54

459)

h

(

h

+

j

+

j

); use

h

= 6

23

, and

j

= 1 460)

x

(

y

y

) +

x

; use

x

= 7

56

, and

y

= 2

27

461)

c

a

÷

102; use

a

=

117

, and

c

= 6

514

462)

x

(3 +

y

)2; use

x

= 2

12

, and

y

= 1

112

463)

b

(

a

+

b

2); use

a

=

54

, and

b

= 5

16

464)

p

+

p

m

m

; use

m

= 5

47

, and

p

= 4

310

465)

(

z

+ 1) ÷ 6 +

x

; use

x

= 7

310

, and

z

= 2

15

466)

y

x

(

y

y

); use

x

= 2, and

y

= 4

1115

467)

n

2 ×

m

n

; use

m

= 6

1314

, and

n

=

710

468)

y

(

x

y

3); use

x

=

37

, and

y

=

58

469) 8 −

(

q

6

p

); use

p

= 15, and

q

=

12

470)

3

x

2y

; use

x

=

57

, and

y

= 5

16

471)

(

6(

n

+

m

)) ÷

m

; use

m

=

119

, and

n

=

53

472)

j

(

j

+

hj

); use

h

= 5

57

, and

j

=

79

473)

y

×

xy

x

; use

x

=

311

, and

y

= 6

12

474)

a

÷ (

a

(

a

b

)); use

a

= 7

514

, and

b

= 1

475)

7

x

×

y

3; use

x

= 2

1115

, and

y

= 2

715

476)

8(

n

(

m

m

)); use

m

= 6

34

, and

n

= 7

57

477)

m

÷ (

p

p

2); use

m

=

1811

, and

p

=

713

478)

p

2m

p

; use

m

=

47

, and

p

= 5

479)

3(

b

a

) +

b

; use

a

=

12

, and

b

= 1 480)

26(

x

+

y

); use

x

= 1

35

, and

y

= 1

13

481)

q

+ 7

p

2; use

p

=

18

, and

q

=

2915

482)

11 ÷ (

y

(

z

y

)); use

y

=

413

, and

z

= 3

23

483)

(

a

(

b

b

)) ÷

b

; use

a

=

169

, and

b

= 7

712

484)

y

÷ (

x

2 −

x

); use

x

= 2

1315

, and

y

= 14

1115

485)

11

p

(

m

p

); use

m

= 6

12

, and

p

= 6

13

486)

y

3 −

y

x

; use

x

=

95

, and

y

= 3

56

487)

q

m

+

p

2; use

m

=

23

,

p

= 2

13

, and

q

=

514

488)

15 ÷ (

b

+

a

a

); use

a

=

32

, and

b

=

158

489)

m

÷ (

n

(

m

n

)); use

m

= 5

58

, and

n

= 4 490)

z

(

z

+

z

y

); use

y

= 7

67

, and

z

= 7

514

491) 10

z

+ 6

x

; use

x

= 5

35

, and

z

= 3

1314

492) 9 +

p

(

p

q

); use

p

= 4

112

, and

q

=

32

493)

k

+ 6 −

kh

; use

h

=

12

, and

k

= 6

14

494)

b

+

a

2

a

; use

a

= 5

29

, and

b

= 3

16

495)

p

+ 8 −

(

m

+

m

); use

m

=

32

, and

p

= 8 496)

x

2 −

y

2; use

x

= 6

310

, and

y

= 3

12

497)

z

+

(

y

+

z

) ÷ 5; use

y

= 2, and

z

=

12

498) 5 +

p

2+

m

; use

m

=

213

, and

p

= 6

713

-8-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 9: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

499)

q

+

(

p

2)2; use

p

=

23

, and

q

= 5 500)

(9 −

x

) ÷

y

+

y

; use

x

= 1, and

y

=

314

501) 3

j

k

(8 −

h

); use

h

=

12

,

j

= 10

419

, and

k

=

45

502)

x

2 −

x

x

y

; use

x

= 1

1320

, and

y

= 2

1114

503)

(

h

j

)(

j

+

h

) +

j

; use

h

= 6

1115

, and

j

=

65

504)

(

y

+

x

) ÷ (

y

− 5 + 10); use

x

=

45

, and

y

= 8

314

505)

5

mn

m

m

; use

m

= 10

12

, and

n

= 10

89

506)

a

×

(13

a

b

) ÷

a

; use

a

= 4

1517

, and

b

= 3

23

507)

yx

(

y

x

x

); use

x

=

89

, and

y

= 4

13

508)

7(

m

p

) +

m

p

; use

m

= 4

719

, and

p

=

169

509) 15 +

j

+ 15 −

(

h

+ 18); use

h

= 1, and

j

= 3

217

510)

p

(

p

(

p

q

12)); use

p

= 5

56

, and

q

= 1

47

511)

y

x

+

y

y

+ 17; use

x

= 1, and

y

=

1716

512)

x

+

(6 −

(

z

+ 4)) ÷

x

; use

x

=

14

, and

z

=

1913

513)

j

h

+

j

+

h

17; use

h

= 1, and

j

= 9

913

514)

b

+ 9

a

(

b

b

); use

a

= 13

35

, and

b

=

3119

515)

(

x

+

y

) ÷ (19 +

x

) +

y

; use

x

= 8

1011

, and

y

= 13

49

516) 5 −

(

p

+

p

) +

m

m

; use

m

= 4

16

, and

p

=

12

517)

n

2

m

3 ; use

m

=

79

, and

n

= 3

611

518) 9 −

(

y

+

y

y

) ÷

x

; use

x

= 7

23

, and

y

= 7

514

519)

y

2 ÷ (

y

+

y

+

x

); use

x

= 2, and

y

= 4

316

520)

(

q

+

p

3) ÷ (12 −

q

); use

p

=

1213

, and

q

=

919

521)

(

yx

(

y

+

y

)) ÷

y

; use

x

= 2

110

, and

y

= 7

14

522)

b

+ 1 −

(

a

+

a

a

); use

a

=

1511

, and

b

= 19

523)

x

+

x

x

xy

; use

x

=

1314

, and

y

=

1314

524)

j

+

h

2 −

j

+

h

; use

h

= 4

29

, and

j

= 7

417

525)

5

p

×

(

r

q

) ÷

r

; use

p

= 7

217

,

q

=

45

, and

r

=

74

526)

y

2(14 − 4 +

x

); use

x

=

43

, and

y

= 4

110

527)

20

m

(

m

+

n

+

m

); use

m

= 7

815

, and

n

= 1

513

528)

18

m

(

m

− 4

p

); use

m

= 2, and

p

=

37

529)

x

x

+

x

xy

; use

x

= 6

910

, and

y

= 9

1011

530)

y

+

3

y

+ 2

x

; use

x

= 3

114

, and

y

=

59

531)

p

q

2 −

(

p

r

); use

p

= 6

411

,

q

=

117

, and

r

=

13

-9-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 10: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

532)

p

(

q

p

) ÷ (

p

+ 19); use

p

= 8

119

, and

q

= 9

1112

533)

h

+

k

− 5 +

j

+

k

; use

h

= 2,

j

= 5

89

, and

k

= 7

215

534)

x

(

11(

y

+

y

) −

y

); use

x

=

920

, and

y

=

43

535)

b

(

a

b

) −

(15 +

b

); use

a

= 20, and

b

= 8

58

536) 6 +

x

x

(

y

y

); use

x

= 9

1112

, and

y

= 4

1011

537)

y

÷ (

x

+

y

(14 − 13)); use

x

=

1716

, and

y

= 5

1415

538)

p

m

(

m

+ 7

p

); use

m

=

2419

, and

p

=

45

539)

(15 −

n

(2 + 10)) ÷

m

; use

m

=

53

, and

n

=

116

540)

x

+

y

(3 −

x

)3; use

x

=

45

, and

y

= 17 541)

x

+

x

y

+

y

x

; use

x

= 10

34

, and

y

=

3017

542)

x

+

5

y

x

x

; use

x

= 7

78

, and

y

= 3

23

543)

p

p

(

q

− 9

p

); use

p

=

17

, and

q

=

43

544)

(

a

2(

b

a

)) ÷

b

; use

a

= 12, and

b

= 20

545) 7 + 14 − 10 −

(

k

+

j

); use

j

=

12

, and

k

= 8

120

546) 8 −

(

12

x

y

2); use

x

= 5

1516

, and

y

=

54

547)

17 ×

m

p

+ 20 +

m

; use

m

= 9

89

, and

p

= 1

548)

12 ×

m

÷ (

pq

+

m

); use

m

= 1,

p

= 4

23

, and

q

= 7

58

549) 13 +

q

(

p

p

) −

q

; use

p

= 5

1718

, and

q

= 7

514

550)

y

×

xy

9

x

; use

x

= 9

14

, and

y

= 6

617

551) 3 + 12 −

x

y

x

; use

x

=

2319

, and

y

=

12

552)

(20 −

n

+

n

) ÷ (

m

+

m

); use

m

= 6

120

, and

n

=

117

553) 8 −

(

y

y

) ÷

x

x

; use

x

= 5

58

, and

y

= 9

310

554)

p

÷ (

q

2(

p

q

)); use

p

=

95

, and

q

=

169

555) 5 −

h

2 ×

j

16; use

h

=

179

, and

j

= 1

556)

(

a

b

)(7

a

a

); use

a

= 5, and

b

=

2320

557)

(

y

+ 6)2 ÷

xy

; use

x

= 8

56

, and

y

=

911

558)

(

x

+ 1 −

y

2) ÷

y

; use

x

= 6

114

, and

y

=

1719

559)

m

2 −

pq

+

p

; use

m

= 10

1113

,

p

= 8

1114

, and

q

= 2

320

560)

y

×

y

x

y

+ 6; use

x

=

12

, and

y

= 7 561)

m

2(

n

(

m

m

)); use

m

=

14

, and

n

= 6

12

562)

(

m

2n

+

n

) ÷

m

; use

m

= 5

38

, and

n

= 7

14

-10-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 11: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

563)

y

+

x

+

y

x

y

; use

x

= 8

1417

, and

y

= 8

1112

564)

b

÷ (

ab

c

3); use

a

= 7

118

,

b

= 10

118

, and

c

= 3

113

565)

19 ÷ (

x

(18 −

y

− 1)); use

x

= 14, and

y

= 8

310

566)

(19 +

k

)2 ÷

kj

; use

j

= 4

23

, and

k

=

78

567)

p

2 −

(

p

q

) ÷

q

; use

p

= 3

511

, and

q

=

169

568)

x

(15 −

x

) −

(

z

z

); use

x

= 2, and

z

= 19569)

a

(

b

+

b

1515 ); use

a

= 7

23

, and

b

= 8

23

570)

y

2 +

y

+

z

2; use

y

= 1

817

, and

z

= 9

512

571)

(

x

+

x

(

y

y

)) ÷

x

; use

x

=

95

, and

y

= 1

311

572)

(

m

+

p

) ÷

p

m

14; use

m

=

3319

, and

p

=

2918

573)

15(10 +

x

y

) +

y

; use

x

=

34

, and

y

= 5

67

574)

(

y

+

x

)(

x

+

x

x

); use

x

= 6

12

, and

y

= 7

718

575)

p

÷ (

p

(

q

2 −

p

)); use

p

=

89

, and

q

= 1 576)

z

2 +

y

÷ (7 +

y

); use

y

=

118

, and

z

=

76

577)

(

j

(

j

h

)) ÷ (

h

+

h

); use

h

= 1, and

j

= 3

320

578)

13 ×

(

a

− 3) ÷ (

a

+

b

); use

a

= 6

56

, and

b

=

15

579)

n

÷ (

n

+

n

(

n

+

m

)); use

m

= 4

114

, and

n

= 9

120

580)

y

+ 8 +

y

+

x

y

; use

x

= 3

1019

, and

y

= 8

1112

581)

a

÷ (

a

2 +

c

+

a

); use

a

=

1316

, and

c

= 1

117

582)

n

m

m

m

2; use

m

=

15

, and

n

= 6

1114

583)

m

2 ÷

m

(

m

p

); use

m

= 6

111

, and

p

= 1 584) 2

m

p

m

m

; use

m

= 8

37

, and

p

=

14

585) 14 +

y

(3 −

(

x

+

x

)); use

x

=

18

, and

y

=

34

586) 9 −

y

÷ (

x

+

y

) +

y

; use

x

= 1, and

y

= 14587)

h

2

h

2j

; use

h

= 10

49

, and

j

= 3

120

588)

(

c

b

) ÷ (

a

b

+ 1); use

a

= 5

34

,

b

=

2717

, and

c

= 9

49

589)

(19

q

(

q

q

)) ÷

p

; use

p

= 1

45

, and

q

= 3

23

590)

y

2x

x

2; use

x

=

67

, and

y

= 10

117

591)

45

b

(

a

+ 20); use

a

= 7

112

, and

b

=

817

592)

(

14(

y

+

x

)) ÷ (

y

+

x

); use

x

= 10

811

, and

y

= 5

17

-11-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 12: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

593)

m

(

m

m

) −

(

p

m

); use

m

=

75

, and

p

=

53

594)

n

n

(

m

m

)2; use

m

=

18

, and

n

= 4

712

595)

x

+

x

y

(13 −

x

); use

x

= 5

1314

, and

y

=

53

596)

2 ×

m

q

− 2

q

; use

m

=

2513

, and

q

=

47 597)

(

p

q

)3

q

2; use

p

=

23

, and

q

= 5

120

598)

y

3 +

x

2 −

x

; use

x

= 2

59

, and

y

=

15

599)

y

x

3 +

x

; use

x

=

13

, and

y

=

2717

600)

40

(

j

k

)3

; use

j

=

2917

, and

k

=

65

601)

x

+

y

+

yx

; use

x

= 14

511

, and

y

= 4

710

602) 1 −

a

b

+

a

; use

a

= 6

1011

, and

b

= 7

58

603)

x

(

y

+

y

x

); use

x

= 11, and

y

= 5

411

604)

p

m

÷ (

p

+ 14); use

m

= 6

23

, and

p

= 6

57

605)

(

m

+

m

+

m

) ÷

p

; use

m

= 1, and

p

= 3

911

606)

(

p

+

q

q

) ÷

p

; use

p

= 4

78

, and

q

= 1

19

607)

m

(

n

− 3)2; use

m

= 6

310

, and

n

= 4

25

608)

y

y

+

x

1; use

x

= 3

715

, and

y

= 1

56

609)

(

y

+

y

+

x

) ÷

y

; use

x

= 6

58

, and

y

= 7

56

610)

6(

x

(

y

y

)); use

x

= 6

12

, and

y

= 7

59

611)

(

j

(

j

+

h

)) ÷

j

; use

h

= 3

415

, and

j

= 5

45

612) 13 −

h

(

j

+

h

); use

h

= 1

413

, and

j

= 3

815

613)

(

x

y

2) ÷

y

; use

x

= 3

27

, and

y

= 1

34

614)

b

b

(

a

a

); use

a

= 1, and

b

= 1

213

615)

x

(

y

+ 12 − 6); use

x

= 7

712

, and

y

= 3

112

616)

m

+

n

+

m

m

; use

m

= 6

56

, and

n

= 4

12

617)

(

p

+

q

)(

q

+ 3); use

p

= 7

34

, and

q

= 1

13

618)

x

÷ (

y

+

y

y

); use

x

= 3

110

, and

y

= 5 619) 3 +

p

m

p

; use

m

= 7

112

, and

p

= 2

79

620)

(11

x

y

) ÷

x

; use

x

= 7

14

, and

y

= 1

415

621)

k

h

2 − 6; use

h

= 6

511

, and

k

= 3

29

622)

7

j

+

h

− 2; use

h

= 4

59

, and

j

= 7 623)

a

(

a

+ 11 −

b

); use

a

= 4

13

, and

b

= 1

710

624)

(

y

z

) ÷ 7 +

x

; use

x

= 5

23

,

y

= 2

712

, and

z

= 1

56

625)

m

3 −

n

+ 7; use

m

= 4

215

, and

n

= 2

56

626)

x

2 ÷ (10 −

y

); use

x

= 4

215

, and

y

= 6

18

627)

p

+

m

m

2; use

m

= 4

38

, and

p

= 15 628)

z

(

y

2 +

z

); use

y

= 3

1113

, and

z

= 2

14

629)

(

x

+ 9

y

) ÷

y

; use

x

= 3

58

, and

y

= 6

112

630)

xy

y

+

x

; use

x

= 4

56

, and

y

= 5

14

631)

z

+

z

+

z

y

; use

y

= 2

56

, and

z

= 3

25

632)

p

+

q

+

q

q

; use

p

= 3

514

, and

q

= 2

611

633)

p

65

q

; use

p

= 1

57

, and

q

= 6

57

634)

(

a

2 −

a

) ÷

b

; use

a

= 7

213

, and

b

= 4

34

635)

(14

j

h

) ÷ 3; use

h

= 7

15

, and

j

= 4

23

636)

y

+

x

15

x

; use

x

= 7

611

, and

y

= 7

12

-12-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 13: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

637)

nm

÷

n

2; use

m

= 3, and

n

= 15

13

638)

p

(

13

q

p

); use

p

= 2

310

, and

q

= 4

1315

639)

m

2 +

m

p

; use

m

= 5

34

, and

p

= 1

913

640)

y

÷ (

x

y

) +

y

; use

x

= 11, and

y

= 6

25

641)

yx

x

− 4; use

x

= 5

310

, and

y

= 5

13

642)

x

×

z

÷ (

x

+ 6); use

x

= 5

12

, and

z

= 6

27

643)

ab

+

b

a

; use

a

= 3

79

, and

b

= 3 644) 13

p

q

q

; use

p

= 7

12

, and

q

= 1

12

645)

n

(

n

m

) + 3; use

m

= 2

47

, and

n

= 4

58

646)

(15 −

h

) ÷ (

j

+

j

); use

h

= 3

1315

, and

j

= 1

111

647)

y

2(

y

x

); use

x

= 1

114

, and

y

= 3

114

648)

m

2 −

p

m

; use

m

= 1

1113

, and

p

= 5

67

649)

rq

(12 +

q

); use

q

= 7

311

, and

r

= 3

12

650)

x

(4 +

y

y

); use

x

= 5

16

, and

y

= 6

56

651)

(

x

(3 +

z

)) ÷

y

; use

x

= 2

112

,

y

= 1

611

, and

z

= 6

14

652)

h

+

h

15

j

; use

h

= 5

811

, and

j

= 5

15

653)

(

y

x

+

y

) ÷

y

; use

x

= 4

34

, and

y

= 5

1315

654)

2

n

+

m

3; use

m

= 5

13

, and

n

= 5

12

655)

a

(10 −

(

a

b

)); use

a

= 6

35

, and

b

= 1

16

656)

z

÷ (

4(

y

x

)); use

x

= 3

89

,

y

= 4, and

z

= 1

12

657)

p

+

q

(

q

q

); use

p

= 1

112

, and

q

= 7

12

658)

mp

p

+ 14; use

m

= 4

49

, and

p

= 2

415

659)

m

(

n

+

n

m

); use

m

= 6

12

, and

n

= 7

1314

660)

x

y

2 −

x

; use

x

= 2

18

, and

y

= 7

14

661)

a

+

a

+

b

+

a

; use

a

= 5

715

, and

b

= 6

811

662)

n

(

n

m

7 ); use

m

= 1

913

, and

n

= 9

663)

8 ÷ (

h

h

+

j

); use

h

= 1

47

, and

j

= 2

813

664)

(

q

p

)3 ÷

q

; use

p

= 5

18

, and

q

= 6

512

665)

m

2 −

(

p

p

); use

m

= 7

45

, and

p

= 6

79

666)

xy

(7 +

y

); use

x

= 6

45

, and

y

= 2

12

667)

2

x

(13 −

y

); use

x

= 3

112

, and

y

= 2

413

668)

z

÷ (

x

(1 +

z

)); use

x

= 5

34

, and

z

= 1

58

669)

m

1 ÷

n

2; use

m

= 5

512

, and

n

= 7

1415

670)

3

p

(

p

+

q

); use

p

= 5

14

, and

q

= 2

911

671)

b

(

c

c

) +

b

; use

b

= 7

910

, and

c

= 4

13

672)

h

h

+

j

2; use

h

= 4

13

, and

j

= 6

47

673)

y

(

y

+

x

) −

y

; use

x

= 1

613

, and

y

= 2

512

674)

y

2 −

x

2; use

x

= 1

19

, and

y

= 7

18

675) 5 −

b

+

a

2; use

a

= 3

59

, and

b

= 4

14

676)

yx

2 +

y

; use

x

= 2

215

, and

y

= 2

711

677)

(

m

(

m

+

n

)) ÷

m

; use

m

= 2

37

, and

n

= 1

29

678)

(

x

(

y

+

x

)) ÷

y

; use

x

= 6

314

, and

y

= 5

14

-13-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 14: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

679)

rp

r

+

r

; use

p

= 6

114

, and

r

= 6

1314

680)

(

a

+ 13 −

b

) ÷

b

; use

a

= 7

56

, and

b

= 12

681)

h

÷ (

k

2 +

j

); use

h

= 3

712

,

j

= 1

38

, and

k

= 5

613

682)

(

6(

p

m

)) ÷

p

; use

m

= 6

911

, and

p

= 7

411

683)

y

(

y

x

6 ); use

x

= 6

35

, and

y

= 2

514

684)

n

2 −

p

p

; use

n

= 1

12

, and

p

= 1

34

685)

7

x

×

y

2; use

x

= 7

310

, and

y

= 6

112

686) 5 +

p

2 −

m

; use

m

= 5

13

, and

p

= 5

1315

687)

x

2 ÷

y

− 4; use

x

= 5

511

, and

y

= 6

710

688)

b

+

b

÷ (

a

b

); use

a

= 6

25

, and

b

= 4

512

689)

p

+ 13 +

q

2; use

p

= 3

910

, and

q

= 3

813

690)

(

y

x

)2 + 13; use

x

= 2

12

, and

y

= 4

1415 691)

(

j

h

)3

+

h

; use

h

= 2

18

, and

j

= 1

19

692)

a

2 +

b

2; use

a

= 4

12

, and

b

= 5

15

693)

12

c

2

b

; use

b

= 5

56

, and

c

= 3

13

694)

(

82 +

x

) ÷

y

; use

x

= 7

17

, and

y

= 3

34

695)

p

×

(

m

+

p

) ÷ 8; use

m

= 2

67

, and

p

= 4

25

696)

x

(

x

+

y

y

); use

x

= 2

1115

, and

y

= 6

78

697)

m

2 +

p

+ 8; use

m

= 7

413

, and

p

= 1

89

698)

m

(

n

(

n

n

)); use

m

= 7

813

, and

n

= 2

910

699)

(

q

+

q

) ÷

qp

; use

p

= 6

16

, and

q

= 7

37

700)

x

+

y

+

y

y

; use

x

= 6

16

, and

y

= 1

38

701)

xy

(

y

2 −

z

); use

x

= 13,

y

= 10

67

, and

z

= 5

710

702)

(

y

2 +

x

) ÷ 4

y

; use

x

= 3

1315

, and

y

= 4

1318

703)

x

2

yx

+

y

; use

x

= 8

1118

, and

y

= 4

59

704)

j

+

k

(

j

h

) +

j

; use

h

= 3

27

,

j

= 8

211

, and

k

= 15

56

705)

(5 +

m

) ÷ (

p

2 −

m

); use

m

= 6

215

, and

p

= 4

17

706)

(

z

(

y

+ 6)) ÷ (

x

y

); use

x

= 2

919

,

y

= 1

16

, and

z

= 9

58

707)

m

(16 −

n

n

n

); use

m

= 9

511

, and

n

= 8

116

708)

20

x

+

y

+

y

+ 5; use

x

= 3

37

, and

y

= 8

914

709)

m

(9 −

p

(

m

m

)); use

m

= 2

1415

, and

p

= 4

37

710)

4 ÷

x

2 ×

z

y

; use

x

= 5

58

,

y

= 9

710

, and

z

= 7

710

711)

6 ×

(

p

+

q

)2 ÷

p

; use

p

= 9

512

, and

q

= 5

713

712)

(14 −

x

)2 −

x

y

; use

x

= 6

34

, and

y

= 7

711

-14-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 15: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

713)

x

x

y

18

x

; use

x

= 8

811

, and

y

= 3

78

714)

(

h

+

h

) ÷

j

+ 11

j

; use

h

= 4

58

, and

j

= 6

120

715) 19

b

(

c

(

c

b

)); use

b

= 3

1120

, and

c

= 8

1314

716)

y

+

x

(

x

2 −

x

); use

x

= 2

112

, and

y

= 1

1920

717)

h

2 ÷ (

20(

h

j

)); use

h

= 1

519

, and

j

= 1

29

718) 12 −

(

m

(

p

p

)) +

n

; use

m

= 5

14

,

n

= 1

1114

, and

p

= 10

35

719)

x

(

y

y

) +

x

x

; use

x

= 1

1819

, and

y

= 2

112

720)

m

(

p

+

p

+

m

m

); use

m

= 2

38

, and

p

= 4

1113

721)

p

q

+

q

(8 −

p

); use

p

= 7

14

, and

q

= 8

211

722)

y

2 ÷

x

+

x

− 1; use

x

= 10

720

, and

y

= 2

1718

723)

(

k

+ 7 +

h

) ÷

jk

; use

h

= 2

112

,

j

= 5

1320

, and

k

= 3

15

724)

(

z

(

z

− 2)) ÷ (

x

+

x

); use

x

= 4

1116

, and

z

= 8

512

725)

y

(

x

(

y

17

y

)); use

x

= 8

34

, and

y

= 6

34

726)

b

+

a

3 −

b

b

; use

a

= 1

34

, and

b

= 1

215

727)

92 ÷ (

a

(

b

b

)); use

a

= 1

78

, and

b

= 7

14

728)

x

(

y

+ 1) + 6

y

; use

x

= 6

25

, and

y

= 8

12

729)

h

×

h

÷ (

j

+

h

3); use

h

= 8

1920

, and

j

= 10

23

730)

m

2(8 −

n

) + 10; use

m

= 8

1316

, and

n

= 7

1120

731)

m

÷ (

p

+ 2) ×

12

q

; use

m

= 6

1320

,

p

= 5

316

, and

q

= 3

12

732) 18 −

(

x

x

) −

x

y

; use

x

= 9

112

, and

y

= 7

15

733)

z

+

x

÷ (

z

+

y

y

); use

x

= 4

49

,

y

= 9

920

, and

z

= 5

56

734)

(

p

+

p

) ÷ (

q

q

+

q

); use

p

= 5

316

, and

q

= 1

910

735)

(

x

(

x

+

y

+

y

)) ÷

x

; use

x

= 11, and

y

= 7

713

736)

q

+

p

2 +

p

p

; use

p

= 3

25

, and

q

= 7

15

737)

x

(

y

+

y

)(

x

x

); use

x

= 2

717

, and

y

= 5

119

738)

(

x

+

yx

+

x

) ÷

x

; use

x

= 2

1516

, and

y

= 10

518

739)

j

+ 17 +

h

1

j

; use

h

= 6

512

, and

j

= 3

320

-15-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 16: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

740)

n

×

(

m

+ 19 +

m

) ÷

p

; use

m

= 7

59

,

n

= 3

35

, and

p

= 5

58

741)

p

(

p

2 −

q

) ÷

p

; use

p

= 4

1017

, and

q

= 10

1013

742)

20 ÷ (

10(

a

a

) +

b

); use

a

= 9

920

, and

b

= 1

12

743)

15

y

(

y

+

x

+

x

); use

x

= 3

15

, and

y

= 2

38

744)

5

p

+

(

q

p

)2; use

p

= 2

217

, and

q

= 10

23

745) 19 −

20 ÷ (

y

(

y

z

)); use

y

= 19

14

, and

z

= 2

16

746)

b

+ 4 +

a

+

b

13; use

a

= 5

913

, and

b

= 4

119

747)

15(

x

(

x

y

x

)); use

x

= 9

16

, and

y

= 1

310

748) 15 +

hj

+ 2 +

h

; use

h

= 2

45

, and

j

= 16

749)

q

(

p

+

p

q

) ÷ 19; use

p

= 9

49

, and

q

= 4

17

750)

(

z

2 +

x

) ÷ 9

x

; use

x

= 8

19

, and

z

= 5

110

751)

m

×

m

14(

p

+

m

); use

m

= 2

56

, and

p

= 3

27

752) 3

q

(

8

r

+ 14); use

q

= 18

23

, and

r

= 1

1315

753)

y

1 ÷

(

xy

)2; use

x

= 8

79

, and

y

= 8

1117

754) 7 +

n

2 ÷ (

m

+

m

); use

m

= 7

12

, and

n

= 1

514

755) 1 +

y

÷ (

x

y

2); use

x

= 4

413

, and

y

= 9

13

756)

x

6+ 7

y

y

; use

x

= 1

1317

, and

y

= 5

56

757)

yx

+

122 −

y

; use

x

= 3

12

, and

y

= 5

715

758)

z

2 ÷ (

yz

y

); use

y

= 2

12

, and

z

= 9

18

759)

q

(14 −

p

2 ) +

p

; use

p

= 8

910

, and

q

= 3

120

760)

c

3 −

(

a

b

19 ); use

a

= 1

16

,

b

= 10

12

, and

c

= 4

58

761)

(17 +

j

2) ÷

h

2; use

h

= 8

817

, and

j

= 4

1316

762)

q

(

q

− 9) +

q

+

m

; use

m

= 10

118

, and

q

= 9

16

763)

y

(

x

2 +

z

− 5); use

x

= 3

310

,

y

= 6

415

, and

z

= 8

16

764)

n

2 +

m

mn

; use

m

= 3

114

, and

n

= 10

23

765) 12 +

m

(15 −

n

) ÷

m

; use

m

= 3

314

, and

n

= 4

613

766)

x

(

(5 −

z

)2 +

z

); use

x

= 9

12

, and

z

= 4

920

767)

(

y

y

)3 +

x

y

; use

x

= 4

314

, and

y

= 1

113

768)

x

÷

x

3 +

y

+ 8; use

x

= 7

710

, and

y

= 3

15

769)

(

y

+

y

+

x

) ÷ 3

y

; use

x

= 10

16

, and

y

= 9

1120

-16-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 17: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

770)

q

÷ (

p

(15 −

(19 −

p

))); use

p

= 4

13

, and

q

= 14

771)

b

+ 4 +

b

+ 10 −

a

; use

a

= 6

118

, and

b

= 5

913

772)

16(

h

(

j

+

h

) ÷

j

); use

h

= 6

910

, and

j

= 2

914

773)

(

m

+ 12

m

) ÷ (

p

+

p

); use

m

= 17, and

p

= 1

716

774)

p

(17 + 3)(

m

m

); use

m

= 6

511

, and

p

= 9

13

775)

y

y

÷ (

x

+

y

− 4); use

x

= 4

314

, and

y

= 3

518

776)

m

+

n

+ 2 −

(

n

n

); use

m

= 9

57

, and

n

= 3 777)

16

x

÷ (

x

(

x

y

)); use

x

= 18, and

y

= 1

35

778)

xy

x

2y

; use

x

= 6

518

, and

y

= 7

19

779)

y

(6

x

− 5

x

); use

x

= 8

17

, and

y

= 8

1114

780)

x

x

+

(

y

+

x

)2; use

x

= 5

23

, and

y

= 7

1517

781)

p

+

p

q

(

p

p

); use

p

= 1

114

, and

q

= 9

716

782)

(18 −

x

)2 −

(

y

+

x

); use

x

= 9

17

, and

y

= 6

311

783)

a

2 ÷ (

b

+

a

+

b

); use

a

= 5

811

, and

b

= 1

213

784)

(

j

+

hj

) ÷

h

2; use

h

= 2

13

, and

j

= 3

512

785)

n

2 + 140 +

m

; use

m

= 7

1419

, and

n

= 4

1117

786)

(9 −

y

) ÷ (

y

+

yx

); use

x

= 9

115

, and

y

= 3

910

787)

p

×

(

m

+

m

+

p

) ÷

m

; use

m

= 2

13

, and

p

= 10

120

788)

y

y

+

x

(

y

y

); use

x

= 4

111

, and

y

= 6

516

789) 20 −

m

+

m

(

m

+

n

); use

m

= 3

518

, and

n

= 1

914

790)

132 ÷ (4

p

q

); use

p

= 8

27

, and

q

= 1

114

791)

(

a

+

a

+ 4) ÷

b

2; use

a

= 1

34

, and

b

= 4

511

792)

b

2 − 11 −

(

a

+ 20); use

a

= 3

611

, and

b

= 13

793) 9 +

x

+

y

(

x

+

x

); use

x

= 7

1315

, and

y

= 10

38

794)

q

+

(16 − 13) ÷ (20 −

m

); use

m

= 4

715

, and

q

= 1

14

795)

15(

x

+

y

(3 +

x

)); use

x

= 7

38

, and

y

= 3

37

796)

n

+

m

+

nm

n

; use

m

= 9

112

, and

n

= 6

215

-17-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 18: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

797)

(

h

+ 17)(2 +

j

) − 5; use

h

= 8

215

, and

j

= 1

310

798)

11

zx

÷

y

2; use

x

= 8

78

,

y

= 10

611

, and

z

= 4

718

799) 1 +

p

6 ÷ (

q

+ 4); use

p

= 4

419

, and

q

= 3

512

800)

p

(

m

+

q

12

q

); use

m

= 4

34

,

p

= 19

12

, and

q

= 9

720

801)

(

p

+ 9 −

p

q

) ÷

q

; use

p

=

56

, and

q

=

717

802)

(

4(6 −

y

) −

y

) ÷

x

; use

x

=

1017

, and

y

=

95

803)

a

+

c

(

c

2 + 8); use

a

= 12, and

c

=

109

804)

y

+

y

+

y

2 −

x

; use

x

= 1, and

y

=

3518

805)

y

(

y

2 +

x

2); use

x

= 2, and

y

=

1318

806)

m

(

m

+

p

) ÷ 18

p

; use

m

=

1714

, and

p

=

25

807)

11 ÷ (

m

+

m

(

n

m

)); use

m

=

2317

, and

n

=

1511

808)

17 ×

11 ÷ (

b

(

a

b

)); use

a

=

32

, and

b

=

32

809)

x

+

(34 −

y

) ÷

x

; use

x

=

53

, and

y

=

95

810)

x

(15 + 13 −

y

x

); use

x

=

57

, and

y

=

139

811)

zx

(

z

yx

); use

x

= 9,

y

=

58

, and

z

= 6 812)

ba

(

a

2 −

a

); use

a

= 2, and

b

=

12

813)

p

+ 10 − 2 +

q

q

; use

p

=

1318

, and

q

=

32

814)

(6 + 6 +

b

) ÷ (

c

+

b

); use

b

=

32

, and

c

=

19

815)

y

y

+

y

x

16; use

x

=

1211

, and

y

=

613

816)

y

(

x

z

yx

); use

x

=

49

,

y

=

1013

, and

z

=

1517

817)

7(

j

+

h

+

j

j

); use

h

=

2714

, and

j

=

2917

818)

p

+

m

(

p

p

m

); use

m

= 1, and

p

=

3719

819) 17 +

(

y

y

) ÷

x

2; use

x

= 2, and

y

=

3120

820)

p

m

p

(

q

+

m

); use

m

=

314

,

p

=

2619

, and

q

=

116

821) 17 −

(

9

q

+

r

+

r

); use

q

=

1514

, and

r

=

75

822)

(8 +

m

(

n

n

)) ÷

m

; use

m

=

25

, and

n

=

53

823)

x

19+

y

2−

x

; use

x

=

47

, and

y

= 10 824)

x

÷ (

y

+

x

+

x

y

); use

x

=

74

, and

y

=

98

825)

(10 −

b

) ÷ (

b

+ 2 −

a

); use

a

=

45

, and

b

=

910

826)

p

11+ 11 −

m

3; use

m

=

3619

, and

p

=

37

827)

y

− 1 +

x

÷

x

2; use

x

=

111

, and

y

= 4

828)

m

m

+

11

p

2; use

m

= 1, and

p

=

32

829)

m

2

(

n

2)2; use

m

= 2, and

n

=

118

-18-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 19: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

830)

q

p

p

(

q

q

); use

p

=

12

, and

q

=

109

831)

j

+

j

+ 13 + 20

h

; use

h

=

29

, and

j

=

32

832)

z

(11 −

(10 +

x

− 1)); use

x

=

53

, and

z

= 16 833)

102 ÷

h

+

k

k

; use

h

=

76

, and

k

=

2720

834)

x

3(

y

+ 15 −

y

); use

x

=

1915

, and

y

=

23

835) 5 +

h

+

j

3 +

j

; use

h

=

12

, and

j

=

2316

836) 16 +

92 −

(

j

+

h

); use

h

=

611

, and

j

= 3

837)

x

(

x

y

y

y

); use

x

=

2919

, and

y

=

715

838)

(

z

y

)2 ÷

132; use

y

=

1110

, and

z

= 13 839)

(

m

+

p

) ÷

m

2 +

m

; use

m

=

3419

, and

p

= 1

840)

(

n

+

p

) ÷ (10 −

n

2); use

n

= 2, and

p

=

32

841)

p

÷ (

q

+

p

(

p

p

)); use

p

= 7, and

q

=

2920

842)

(

y

y

+

yx

) ÷

y

; use

x

= 7, and

y

= 2843) 10 −

(

j

j

) −

h

2; use

h

= 2, and

j

=

911

844)

a

b

+ 99 −

b

; use

a

=

158

, and

b

=

13

845)

y

÷ (

y

+

y

) +

y

x

; use

x

= 1, and

y

=

35

846)

z

2 −

x

÷ (

z

+

x

); use

x

=

54

, and

z

=

3317

847)

(16 −

a

b

) ÷ (

b

+ 2); use

a

=

119

, and

b

= 2

848)

132 ÷

m

− 3

p

; use

m

= 1, and

p

=

511

849)

m

+

m

n

(

m

+ 11); use

m

=

58

, and

n

=

118

850)

h

(

j

h

h

) +

h

; use

h

=

25

, and

j

=

1811

851)

7 ×

q

p

+

q

2; use

p

=

38

, and

q

=

13

852)

16

y

2 −

(

y

x

); use

x

= 1, and

y

=

85

853)

(

y

x

2) ÷

x

3; use

x

=

12

, and

y

=

3118

854)

a

(

c

c

) +

b

2; use

a

=

23

,

b

=

43

, and

c

= 2 855)

y

(

x

+

x

) −

x

y

; use

x

=

65

, and

y

= 20

856)

x

+

x

x

x

y

; use

x

=

65

, and

y

=

3019

857)

n

2(20 −

(

m

+

n

)); use

m

=

1320

, and

n

=

110

858)

(

h

+

h

)2 ÷

j

2; use

h

=

1117

, and

j

=

32

859)

(13 − 2

z

) ÷ (

z

+

y

); use

y

= 1, and

z

=

27

860)

y

÷ (7 +

y

)(

x

+

y

); use

x

=

74

, and

y

= 1 861)

20

x

+ 1 +

y

+

y

; use

x

=

2313

, and

y

=

1613

862)

(

17(19 −

q

)) ÷ (11 +

r

); use

q

=

1920

, and

r

=

43

863)

q

(

p

(

p

p

) − 1); use

p

=

2013

, and

q

=

43

864)

(5 −

p

) ÷ (

p

p

+

q

); use

p

=

79

, and

q

= 13

865) 204 −

(

ba

+

a

); use

a

= 19, and

b

=

417

866) 10 −

y

(

y

+

x

) −

y

; use

x

=

32

, and

y

= 1

867)

p

(

m

p

m

) +

m

; use

m

=

317

, and

p

=

78

868)

y

3 −

x

x

; use

x

=

139

, and

y

= 2

-19-

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Page 20: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

869)

(

n

+

m

) ÷ (

m

n

2); use

m

=

2413

, and

n

=

1115

870)

(

y

+

x

)2 ÷ (

y

+

y

); use

x

= 16, and

y

= 1 871)

p

÷ (6 −

q

) −

q

9; use

p

=

2213

, and

q

=

65

872)

y

+

x

+

x

+ 12 +

x

; use

x

=

1110

, and

y

=

12

873) 18 −

(

j

h

÷ (16 +

j

)); use

h

=

119

, and

j

=

74

874)

a

+ 3 +

b

+

b

+

b

; use

a

=

1617

, and

b

=

29

875)

x

+

y

+

92 −

y

; use

x

=

56

, and

y

=

138

876)

x

+

12(15 −

y

+

x

); use

x

=

2417

, and

y

=

127

877)

(

j

+

h

) ÷

j

(

j

+ 3); use

h

= 2, and

j

=

13

878)

m

(11 − 9)2 −

n

; use

m

= 14, and

n

= 1 879)

y

+

y

+

x

+

x

y

; use

x

=

1513

, and

y

=

1916

880)

82 +

m

2 −

p

; use

m

=

75

, and

p

=

23

881)

18

y

(

z

+

z

) −

y

; use

y

=

1316

, and

z

=

19

882)

(

m

2(

n

+

n

)) ÷

m

; use

m

= 2, and

n

=

317

883)

y

+ 9 −

(

x

y

z

); use

x

=

3017

,

y

=

1211

, and

z

=

27

884)

r

(

p

r

+

p

p

); use

p

=

137

, and

r

=

65

885)

c

×

3

c

÷ (

b

+

a

); use

a

=

1710

,

b

=

74

, and

c

=

12

886)

h

+

8(

j

j

) +

h

; use

h

=

87

, and

j

=

1217

887)

x

÷ (

8

y

z

2); use

x

= 2,

y

=

811

, and

z

=

2213

888)

m

+

14 ÷

m

2 −

n

; use

m

=

32

, and

n

=

34

889)

2(

p

q

÷ (

p

+

p

)); use

p

= 1, and

q

=

53

890)

(

y

+

x

+

x

) ÷ (

y

+

y

); use

x

=

914

, and

y

=

13

891)

q

÷ (

p

2(13 +

q

)); use

p

=

37

, and

q

= 3 892) 11 −

(

x

y

) − 5 +

y

; use

x

=

32

, and

y

=

32

893)

j

(18 −

j

h

j

); use

h

= 1, and

j

=

919

894)

13(

y

+

x

+ 1 −

x

); use

x

=

1611

, and

y

=

43

895)

m

+

m

+

q

+

p

q

; use

m

=

1915

,

p

=

3619

, and

q

=

74

896) 9

x

+ 11 −

yx

; use

x

= 2, and

y

= 2897)

10

p

2 (

p

n

); use

n

=

137

, and

p

= 5

898)

m

÷ (

m

(

m

+

m

) +

n

); use

m

=

310

, and

n

=

87

899)

9 ÷ (

x

(

y

+ 5 +

y

)); use

x

=

13

, and

y

=

3920

900)

(

a

2 −

b

) ÷ (

a

+

a

); use

a

=

53

, and

b

=

43

-20-

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Page 21: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

Order of operations - positive algebraic expressions

Evaluate each using the values given.

1)

q

(

p

(

p

p

)); use

p

= 6, and

q

= 8 2 2)

y

(

z

y

) ÷ 5; use

y

= 7, and

z

= 12 63)

(

j

(

j

h

)) ÷ 4; use

h

= 8, and

j

= 13 2 4)

b

(

b

a

÷ 3); use

a

= 15, and

b

= 13 1045) 6 −

m

+

p

+

m

; use

m

= 2, and

p

= 1 7 6)

y

+

y

2 −

x

; use

x

= 8, and

y

= 4 127)

y

(

x

− 8) −

x

; use

x

= 11, and

y

= 15 34 8)

m

(

m

q

÷ 6); use

m

= 10, and

q

= 12 809)

z

2 −

(

x

− 13); use

x

= 13, and

z

= 1 1 10) 5 +

y

+

x

÷ 6; use

x

= 12, and

y

= 6 1311)

n

m

(

n

n

); use

m

= 4, and

n

= 15 15 12)

y

+

y

+

x

+ 7; use

x

= 15, and

y

= 10 4213)

q

(

p

(

p

− 2)); use

p

= 6, and

q

= 11 9 14)

a

(

a

(

a

b

)); use

a

= 15, and

b

= 1 1415) 8

h

(

j

+ 12); use

h

= 9, and

j

= 1 59 16)

y

+

y

x

3; use

x

= 2, and

y

= 7 617)

n

+

m

2 −

n

; use

m

= 10, and

n

= 6 100 18)

y

2

x

2; use

x

= 4, and

y

= 3 14419)

p

+

m

(

q

p

); use

m

= 11,

p

= 12, and

q

= 14 2120)

n

+

(

m

+ 12) ÷ 5; use

m

= 13, and

n

= 2 7 21)

2(

x

y

+

x

); use

x

= 13, and

y

= 9 3422)

x

×

(

y

+

x

) ÷ 2; use

x

= 6, and

y

= 8 42 23)

x

y

+

x

y

; use

x

= 15, and

y

= 13 424)

8(

q

(

r

− 10)); use

q

= 14, and

r

= 14 80 25) 2 +

h

+

j

2; use

h

= 2, and

j

= 3 1326)

x

+

y

z

÷ 3; use

x

= 2,

y

= 10, and

z

= 3 11 27)

a

(

a

b

÷ 4); use

a

= 9, and

b

= 4 128)

p

+

p

+

m

+

p

; use

m

= 4, and

p

= 15 49 29)

m

m

(

n

n

); use

m

= 11, and

n

= 9 1130)

x

2 +

y

x

; use

x

= 5, and

y

= 6 26 31)

x

(

x

(

y

− 6)); use

x

= 7, and

y

= 11 1432) 2

yx

+

y

; use

x

= 6, and

y

= 11 143 33)

n

(

m

(

n

n

)); use

m

= 13, and

n

= 5 6534)

j

2

h

2; use

h

= 2, and

j

= 6 144 35) 2 +

y

(

x

− 9); use

x

= 11, and

y

= 12 1236)

(

a

a

) ÷ 6 +

b

; use

a

= 9, and

b

= 7 7 37)

x

(

x

y

2); use

x

= 9, and

y

= 1 138) 6 +

y

2 +

x

; use

x

= 13, and

y

= 9 100 39)

m

2(

p

+

p

); use

m

= 5, and

p

= 3 15040)

a

(1 +

c

) ÷ 2; use

a

= 11, and

c

= 1 10 41)

5(

n

(

m

− 13)); use

m

= 14, and

n

= 8 3542)

7(

a

+

c

+ 11); use

a

= 3, and

c

= 2 112 43)

(

q

(8 −

p

)) ÷ 5; use

p

= 1, and

q

= 5 744)

(10 −

(

x

y

)) ÷ 5; use

x

= 9, and

y

= 4 1 45) 6 +

x

(

y

y

); use

x

= 15, and

y

= 14 2146)

x

2 −

y

y

; use

x

= 11, and

y

= 15 91 47)

mp

+

m

+ 11; use

m

= 5, and

p

= 6 4648)

(

j

(

j

+

h

)) ÷ 6; use

h

= 3, and

j

= 9 18 49) 2 +

b

+

a

+

b

; use

a

= 5, and

b

= 15 3750)

x

+

z

+

z

+

y

; use

x

= 14,

y

= 12, and

z

= 2 30 51)

p

2(

m

+ 4); use

m

= 7, and

p

= 2 4452)

m

2 −

(

n

+

n

); use

m

= 7, and

n

= 11 27 53) 2 +

x

(

x

y

); use

x

= 10, and

y

= 7 954)

x

+

y

+

x

+

y

; use

x

= 3, and

y

= 13 32 55)

q

×

p

÷ 3 −

p

; use

p

= 9, and

q

= 8 1556)

k

h

(14 −

j

); use

h

= 11,

j

= 12, and

k

= 15 257)

x

(5

y

x

); use

x

= 12, and

y

= 3 36 58)

(

z

+

x

+

y

) ÷ 3; use

x

= 14,

y

= 15, and

z

= 4 1159)

b

(

a

− 5)2; use

a

= 5, and

b

= 2 2 60)

y

+

x

+

y

+

x

; use

x

= 1, and

y

= 4 1061)

n

+

nm

− 7; use

m

= 7, and

n

= 14 105 62)

m

m

+

p

2; use

m

= 1, and

p

= 5 2563)

p

p

+

m

+

p

; use

m

= 14, and

p

= 9 23 64)

r

(

q

p

÷ 2); use

p

= 10,

q

= 10, and

r

= 9 4565)

y

(10 −

x

) +

y

; use

x

= 3, and

y

= 10 13 66)

x

(

y

+

x

÷ 3); use

x

= 3, and

y

= 1 667)

h

(

h

j

÷ 3); use

h

= 12, and

j

= 15 84 68)

b

(14 +

a

a

); use

a

= 6, and

b

= 5 7069)

h

×

14 ÷ 2 −

j

; use

h

= 14, and

j

= 11 87 70) 15 + 11 +

y

x

; use

x

= 8, and

y

= 3 2171) 4

n

m

÷ 4; use

m

= 8, and

n

= 2 6 72)

(

p

− 6)(

m

+

p

); use

m

= 1, and

p

= 8 1873)

x

÷ 2(

x

y

); use

x

= 10, and

y

= 7 15 74)

z

+

z

+

yz

; use

y

= 4, and

z

= 2 1275)

q

(

p

p

)2; use

p

= 3, and

q

= 13 13 76)

x

+

x

+

y

2; use

x

= 6, and

y

= 9 9377)

j

2 +

h

÷ 5; use

h

= 5, and

j

= 3 10 78)

y

+

x

− 2 −

y

; use

x

= 8, and

y

= 6 679)

b

− 6 +

a

− 2; use

a

= 14, and

b

= 8 14 80) 8 − 5 +

h

k

; use

h

= 8, and

k

= 6 581)

p

+

m

+

p

p

; use

m

= 10, and

p

= 11 21 82) 15

p

+

q

q

; use

p

= 4, and

q

= 1 60

-1-

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Page 22: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

83)

y

+

x

x

+ 15; use

x

= 10, and

y

= 10 25 84)

n

(

m

+ 4) ÷ 5; use

m

= 1, and

n

= 5 485) 11

k

(

k

h

); use

h

= 6, and

k

= 7 76 86)

y

+ 50 +

x

; use

x

= 12, and

y

= 7 6987)

a

+

a

(

b

+

b

); use

a

= 15, and

b

= 11 8 88)

j

×

h

2 ÷ 4; use

h

= 8, and

j

= 2 3289)

yx

− 6 −

y

; use

x

= 14, and

y

= 12 150 90)

x

+ 12 −

y

÷ 3; use

x

= 12, and

y

= 15 1991) 8

z

(

x

x

); use

x

= 1, and

z

= 12 96 92) 10 −

(

n

(

m

m

)); use

m

= 2, and

n

= 8 293)

m

(

p

+

p

) ÷ 4; use

m

= 10, and

p

= 14 3 94) 2 −

(4 −

(

q

r

)); use

q

= 4, and

r

= 1 195)

y

+

(

x

x

) ÷ 6; use

x

= 4, and

y

= 13 13 96)

x

(

y

+

x

− 7); use

x

= 12, and

y

= 3 497)

p

+ 6 +

pq

; use

p

= 6, and

q

= 9 66 98)

x

+

x

2 +

y

; use

x

= 6, and

y

= 9 5199)

x

y

÷ 3 +

y

; use

x

= 15, and

y

= 15 25 100)

(

ab

+

a

) ÷ 6; use

a

= 8, and

b

= 14 20101) 2

x

+

x

(

z

z

); use

x

= 12, and

z

= 16 24102) 19 −

(

j

(6 −

h

÷ 4)); use

h

= 4, and

j

= 15 9103)

4(

n

5(

p

p

)); use

n

= 15, and

p

= 19 60104)

p

(

p

m

) −

(20 +

m

); use

m

= 1, and

p

= 12 111105)

z

+

z

+

12 ×

y

÷ 4; use

y

= 16, and

z

= 9 66106)

(17

q

(

p

− 10)) ÷ 4; use

p

= 18, and

q

= 12 49107)

5

x

(

y

y

) + 4; use

x

= 9, and

y

= 16 4 108)

x

+ 12 − 10 +

x

y

; use

x

= 15, and

y

= 13 19109) 20 −

qp

(

q

q

); use

p

= 15, and

q

= 17 20 110) 18 +

a

+

b

− 16; use

a

= 4, and

b

= 17 23111)

y

÷ 6(

y

x

) − 5; use

x

= 6, and

y

= 12 7112) 13 +

j

(13 −

j

+

h

); use

h

= 12, and

j

= 13 14113)

y

+

x

+

x

x

+

y

; use

x

= 12, and

y

= 9 30114)

p

+

p

+ 19 −

q

+

m

; use

m

= 9,

p

= 10, and

q

= 7 41115)

8(

y

(

x

+

y

y

)); use

x

= 10, and

y

= 14 32 116)

n

+

n

(

m

+

m

+

m

); use

m

= 1, and

n

= 13 23117)

(

16(

m

+

n

m

)) ÷ 4; use

m

= 18, and

n

= 10 40118)

p

(

r

r

) +

8 ÷ 4; use

p

= 15, and

r

= 12 17119)

zy

(

z

x

) − 11; use

x

= 7,

y

= 10, and

z

= 16 140120)

h

2 +

h

jh

; use

h

= 12, and

j

= 11 24 121)

b

4

a

÷ 4 −

a

; use

a

= 4, and

b

= 15 7122)

y

×

20 ÷ 4 −

(

x

+

y

); use

x

= 4, and

y

= 11 40 123)

p

+

pm

+

m

m

; use

m

= 10, and

p

= 7 77124) 20 −

(

m

+ 15) − 1 +

n

; use

m

= 1, and

n

= 11 14125) 16

y

x

3 ÷ 3; use

x

= 18, and

y

= 12 173 126)

x

+ 20 −

(

y

13); use

x

= 1, and

y

= 7 15127)

x

(

y

÷ 6 −

y

÷ 6); use

x

= 7, and

y

= 12 7 128)

r

(

rp

÷ 4 + 10); use

p

= 16, and

r

= 4 104129)

xy

+

y

×

12 ÷ 6; use

x

= 15, and

y

= 8 136130)

m

(

m

(9 +

n

÷ 4)); use

m

= 18, and

n

= 8 11131) 5

x

2 −

(

y

y

); use

x

= 4, and

y

= 8 80 132)

b

2 +

b

+

b

a

; use

a

= 13, and

b

= 13 182133)

z

− 5 +

y

x

+

z

; use

x

= 1,

y

= 5, and

z

= 13 25134) 6 +

m

2 −

(

n

n

); use

m

= 10, and

n

= 9 106 135)

p

+

p

+ 10

m

; use

m

= 18, and

p

= 5 190

136) 8

h

+

j

2 +

j

; use

h

= 13, and

j

= 9 194 137)

5(

yx

132); use

x

= 19, and

y

= 9 10138)

y

+

(

y

(

x

+

y

)) ÷ 2; use

x

= 15, and

y

= 10 135 139) 12

y

(

y

− 2 +

x

); use

x

= 16, and

y

= 6 52140)

m

+

m

(

n

(

m

m

)); use

m

= 7, and

n

= 6 8141) 20 + 18

q

(

p

+

p

); use

p

= 4, and

q

= 10 192 142)

y

+

x

+

y

2 ÷ 3; use

x

= 10, and

y

= 3 16143)

(

a

+

a

(

a

b

)) ÷ 6; use

a

= 13, and

b

= 11 4 144)

c

+ 3 +

b

+

b

2; use

b

= 7, and

c

= 1 60145)

142 −

(

x

+ 11

y

); use

x

= 7, and

y

= 7 112 146)

(

j

(10 −

(8 −

h

))) ÷ 3; use

h

= 1, and

j

= 7 7147)

p

+

m

(9 +

q

) ÷ 2; use

m

= 19,

p

= 3, and

q

= 5 15148)

q

(

p

+

p

(

q

q

)); use

p

= 5, and

q

= 8 3149)

(9 −

(14 −

m

)) ÷ 2 +

n

; use

m

= 7, and

n

= 4 5150) 9 −

x

(

z

z

) ÷ 6; use

x

= 4, and

z

= 14 5 151)

8(

(

x

− 10) ÷ 3 +

y

); use

x

= 13, and

y

= 4 40152)

x

+

y

(

x

+ 2) +

x

; use

x

= 16, and

y

= 8 176 153) 20 −

a

+ 14

b

+

b

; use

a

= 1, and

b

= 8 139154) 17 +

b

(19 −

a

+

b

); use

a

= 19, and

b

= 5 17155) 6 −

(

m

q

)(

p

p

); use

m

= 19,

p

= 1, and

q

= 17 6

-2-

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Page 23: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

156)

y

+

7(

y

+

z

) + 7; use

y

= 5, and

z

= 12 131 157)

h

(

h

(

j

j

)) ÷ 6; use

h

= 2, and

j

= 5 2158)

n

+ 20 −

n

(

m

m

); use

m

= 16, and

n

= 1 20159)

m

(10 +

p

(17 −

p

)); use

m

= 16, and

p

= 6 80160)

r

q

÷ 6 +

p

+

r

; use

p

= 13,

q

= 6, and

r

= 2 16161)

x

2 −

(6 −

y

)2; use

x

= 5, and

y

= 2 9 162)

y

x

×

(

y

y

) ÷ 6; use

x

= 10, and

y

= 1 1

163)

y

(

y

2 −

x

) − 14; use

x

= 2, and

y

= 6 190 164)

h

j

2 −

(

j

j

); use

h

= 10, and

j

= 2 6165) 11 −

(

x

x

(

y

− 2)); use

x

= 14, and

y

= 2 11166)

p

8 ÷ 4 + 14

m

; use

m

= 8, and

p

= 19 129 167) 17 −

(16 +

b

a

) − 2; use

a

= 19, and

b

= 3 15168)

z

(

z

(

y

x

)) +

x

; use

x

= 11,

y

= 19, and

z

= 11 19169)

x

(8 −

y

) −

x

÷ 4; use

x

= 8, and

y

= 3 1 170)

(

m

(

n

+

n

+

n

)) ÷ 6; use

m

= 16, and

n

= 19 152171)

p

+

(

p

p

+

m

) ÷ 5; use

m

= 5, and

p

= 3 4 172)

x

÷ 2 +

y

2x

; use

x

= 2, and

y

= 4 33173)

(

y

z

)(

z

x

) −

y

; use

x

= 2,

y

= 20, and

z

= 9 57174)

x

+

x

×

(

x

+

y

) ÷ 5; use

x

= 5, and

y

= 20 30 175)

h

+

h

h

+

j

+

j

; use

h

= 11, and

j

= 20 51176)

(

p

q

÷ 4)(1 +

p

); use

p

= 14, and

q

= 4 195 177)

(

a

+

b

)(

b

+

b

) −

a

; use

a

= 20, and

b

= 1 22178) 5

y

y

(

x

+

x

); use

x

= 19, and

y

= 17 30 179)

j

(

(

k

k

)2 + 2); use

j

= 17, and

k

= 14 15180)

n

+

m

+ 3 −

(

m

n

); use

m

= 17, and

n

= 17 37181)

m

m

(

p

m

÷ 5); use

m

= 5, and

p

= 1 5 182)

q

+

p

2 −

p

2; use

p

= 14, and

q

= 2 2183)

112 +

y

x

÷ 2; use

x

= 14, and

y

= 18 132184)

5(

yz

(

x

+

x

)); use

x

= 11,

y

= 2, and

z

= 17 60185)

(

yx

+ 18 +

x

) ÷ 4; use

x

= 2, and

y

= 18 14 186)

x

+

y

(

y

+

y

) ÷ 4; use

x

= 20, and

y

= 14 27187)

a

+

b

+

8 ÷ 4 +

a

; use

a

= 8, and

b

= 19 37 188) 2

j

k

k

÷ 6; use

j

= 15, and

k

= 6 23189)

2(

h

+

h

) −

j

÷ 6; use

h

= 11, and

j

= 18 41 190)

p

+ 2 +

m

+ 15 +

m

; use

m

= 6, and

p

= 19 48191)

(

y

+ 17)(20 −

(

x

+ 2)); use

x

= 14, and

y

= 15 128192)

8(

q

p

×

q

÷ 4); use

p

= 3, and

q

= 20 40 193)

(

y

+

(

y

+

x

)2) ÷ 5; use

x

= 11, and

y

= 16 149194)

nm

+

m

+

m

÷ 5; use

m

= 5, and

n

= 15 81 195)

x

x

+

y

4 ÷ 4; use

x

= 11, and

y

= 20 19196)

(

y

+

y

2 +

x

) ÷ 4; use

x

= 8, and

y

= 12 41 197)

a

2 − 12 −

(

b

b

); use

a

= 9, and

b

= 16 69198)

z

÷ 2(

x

z

÷ 2); use

x

= 17, and

z

= 10 60 199)

5(

j

+

h

) −

(19 −

h

); use

h

= 17, and

j

= 13 148200)

j

(

j

(

h

j

) ÷ 4); use

h

= 20, and

j

= 16 1201)

y

+

y

(

y

x

); use

x

= 3.3, and

y

= 8.2 11.5 202) 11 −

(

p

p

) ÷

m

; use

m

= 7.5, and

p

= 4.6 11203) 6

y

+

x

2; use

x

= 7.4, and

y

= 9.1 109.36 204)

q

+ 13 +

p

− 6; use

p

= 3.1, and

q

= 12.713 22.813205)

m

2(

p

− 7); use

m

= 3.2, and

p

= 12.6 57.344206)

(

x

y

) ÷

x

+ 15; use

x

= 7.4, and

y

= 2.639 15.6433783784207)

q

÷ (

r

r

+

r

); use

q

= 12.1, and

r

= 5.3 2.28301886792208)

y

− 10 +

y

x

; use

x

= 11.5, and

y

= 14.3 7.1209)

y

×

x

÷ 3

y

; use

x

= 11.381, and

y

= 10.4 3.79366666667210)

(

b

a

)(

b

+

a

); use

a

= 7.2, and

b

= 10.9 66.97211)

y

+

(

x

÷

x

)2; use

x

= 7.2, and

y

= 9.19 10.19 212)

h

÷

j

+ 12 −

h

; use

h

= 11.5, and

j

= 13 1.38461538462213)

qm

×

q

÷ 2; use

m

= 7.1, and

q

= 5.26 98.21998 214)

n

m

(

n

n

); use

m

= 11.4, and

n

= 11.359 11.359215)

x

÷

y

(

x

+

y

); use

x

= 11.3, and

y

= 1.9 78.5052631579216)

9 ×

r

÷ (

q

+

r

); use

q

= 4.1, and

r

= 8 5.95041322314217)

x

×

(

y

+ 7) ÷

y

; use

x

= 7, and

y

= 2.8 24.5 218)

y

2(2 −

x

); use

x

= 1.29, and

y

= 5.4 20.7036219)

h

+ 2 +

h

+

j

; use

h

= 11.76, and

j

= 1.1 26.62 220)

ab

+

b

÷ 4; use

a

= 11.1, and

b

= 10.005 113.55675221)

p

(

q

+

q

) ÷

p

; use

p

= 11.2, and

q

= 5 10.3071428571222)

n

(

n

+

n

) −

m

; use

m

= 1.2, and

n

= 4.6 41.12223)

(

y

(

x

x

)) ÷

y

; use

x

= 11.1, and

y

= 2.4 1 224)

(

z

− 1 +

x

) ÷

z

; use

x

= 1.1, and

z

= 12.9 1.00775193798225)

(

m

(

m

m

)) ÷

p

; use

m

= 11, and

p

= 6.7 1.64179104478226)

y

(

y

x

) ÷ 1; use

x

= 1, and

y

= 10.13 1227)

q

2 − 11 −

p

; use

p

= 1, and

q

= 6.3 27.69 228)

m

3 ×

3 ÷

n

; use

m

= 2.27, and

n

= 13.1 2.67872129771229)

x

(

x

+ 8) ÷

y

; use

x

= 10.9, and

y

= 8.65 8.71502890173230)

y

+

y

(

x

− 2); use

x

= 5.2, and

y

= 8.5 13.8231)

(

b

+

c

) ÷

a

+

c

; use

a

= 12.25,

b

= 11, and

c

= 8.58 10.1783673469232)

j

+

h

+ 7

j

; use

h

= 5.1, and

j

= 7.2 62.7 233)

m

2 +

8 ÷

n

; use

m

= 5.1, and

n

= 13.36 26.6088023952234)

p

×

3 ÷ (

m

+

p

); use

m

= 14.9, and

p

= 10.6 1.24705882353

-3-

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Page 24: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

235)

y

(

y

− 5 +

x

); use

x

= 4.9, and

y

= 8.9 78.32236)

z

(

y

+

x

) ÷

z

; use

x

= 9.1,

y

= 9.8, and

z

= 9.9 7.99090909091237)

p

q

÷

92; use

p

= 4.9, and

q

= 13.2 4.73703703704238)

(

m

n

) ÷

n

+

m

; use

m

= 14.8, and

n

= 12.4 14.9935483871239)

y

2 +

x

y

; use

x

= 14.7, and

y

= 11.1 126.81 240)

n

÷ 13 ×

m

÷

n

; use

m

= 9, and

n

= 12.8 0.692307692308241)

a

÷ (

b

+

b

a

); use

a

= 4.8, and

b

= 13.83 0.209973753281242)

y

÷

z

×

y

2; use

y

= 10.7, and

z

= 13.1 93.5147328244243) 12 +

h

2 −

j

; use

h

= 9, and

j

= 11.06 81.94 244) 12

x

+

2 ÷

y

; use

x

= 8.9, and

y

= 11.5 106.973913043245)

n

÷

m

(

n

− 7); use

m

= 4.6, and

n

= 13.7 19.9543478261246)

z

2 −

y

÷

x

; use

x

= 8.8,

y

= 6.809, and

z

= 4.6 20.38625247)

m

÷ (

p

+ 1 +

p

); use

m

= 4.7, and

p

= 15 0.151612903226248)

(

p

+

q

) ÷ (

p

− 4); use

p

= 8.8, and

q

= 11.53 4.23541666667249)

x

÷ (

x

+ 11 +

y

); use

x

= 4.5, and

y

= 10.736 0.171520048788250)

7

a

÷ 6

c

; use

a

= 7.26, and

c

= 9.5 0.891578947368251)

z

z

(

x

x

); use

x

= 13, and

z

= 6.23 6.23252)

hk

2 ÷

j

; use

h

= 12.9,

j

= 1.3, and

k

= 3.8 143.289230769253)

x

×

(

y

+

y

) ÷

x

; use

x

= 8.6, and

y

= 3.5 7254)

q

×

m

÷ 12 +

m

; use

m

= 8.6, and

q

= 8.9 14.9783333333255)

y

+

y

(

x

+

x

); use

x

= 12.8, and

y

= 14.76 3.92256)

(

a

(13 −

a

)) ÷

b

; use

a

= 12.8, and

b

= 5.7 2.21052631579257)

(

n

+

m

m

) ÷ 4; use

m

= 8.5, and

n

= 12 3258)

(

14(

y

+

x

)) ÷

x

; use

x

= 8.4, and

y

= 5.2 22.6666666667259)

28 ÷ (

p

+

q

); use

p

= 12.6, and

q

= 7.4 1.4260)

y

+

x

÷ 10 −

y

; use

x

= 2.8, and

y

= 4 0.28 261) 12 −

(5 −

x

÷

y

); use

x

= 11.26, and

y

= 3 10.753333333262)

x

13 ÷

y

; use

x

= 12.5, and

y

= 1.22 11.6803278689263)

(

b

b

2) ÷

a

; use

a

= 12.6, and

b

= 12.2 144.114920635264)

(

j

(

h

h

)) ÷ 6; use

h

= 1.77, and

j

= 14.9 2.48333333333265)

(15

a

c

) ÷

c

; use

a

= 4.683, and

c

= 6 10.7075266)

pq

(

m

m

); use

m

= 12.4,

p

= 9.1, and

q

= 7.2 65.52267)

y

×

x

÷ (

y

+

y

); use

x

= 2.6, and

y

= 11.3 1.3268)

m

+

q

+

p

÷

m

; use

m

= 2.5,

p

= 10, and

q

= 10.4 16.9269)

n

÷

m

(8 +

m

); use

m

= 12.4, and

n

= 7.9 12.9967741935270)

p

÷

q

(7 − 4); use

p

= 2.4, and

q

= 2.746 2.62199563001271)

(

z

2 +

y

) ÷ 2; use

y

= 1.69, and

z

= 7 25.345 272)

x

2 −

(

y

+ 15); use

x

= 5.78, and

y

= 14.2 4.2084273)

j

2 +

h

2; use

h

= 6.6, and

j

= 9.6 135.72 274) 3

y

+

y

z

; use

y

= 11.8, and

z

= 2.5 44.7275)

9 ÷

x

+

y

+

y

; use

x

= 6.5, and

y

= 13.13 27.6446153846276)

b

a

÷ (13 +

a

); use

a

= 2.4, and

b

= 13 12.8441558442277)

m

÷

m

+

n

n

; use

m

= 2.2, and

n

= 1.392 1 278)

x

x

+

y

+

y

; use

x

= 2.1, and

y

= 13.5 27279)

p

+

p

÷

q

p

; use

p

= 6.3, and

q

= 1.6 3.9375 280)

(

y

+

x

2) ÷

x

; use

x

= 6.3, and

y

= 14.4 8.58571428571281)

xy

y

+

x

; use

x

= 2, and

y

= 3.7 5.7 282)

p

+

pm

+ 4; use

m

= 6.4, and

p

= 2.16 19.984283) 9

h

(

j

+ 12); use

h

= 10.5, and

j

= 2.36 80.14284) 11

b

(

a

+

c

); use

a

= 10.4,

b

= 4.804, and

c

= 6.8 35.644285)

(

j

(

j

+

h

)) ÷

j

; use

h

= 6.1, and

j

= 3.3 9.4 286)

x

÷ (

x

(

y

− 9)); use

x

= 6.2, and

y

= 13.6 3.875287)

n

÷

n

m

÷ 9; use

m

= 1.31, and

n

= 11.2 0.854444444444288)

(

x

+

x

) ÷

y

+

x

; use

x

= 10.3, and

y

= 5.5 14.0454545455289)

y

÷

x

(

y

+

y

); use

x

= 14.8, and

y

= 7 6.62162162162290)

x

+ 13 +

yx

; use

x

= 5.9, and

y

= 14.07 101.913291)

p

(14 −

p

) ÷

q

; use

p

= 10.2, and

q

= 2.82 8.8524822695292)

(

h

(

h

j

)) ÷

h

; use

h

= 14.4, and

j

= 3.8 0.263888888889293)

x

÷ (

x

+

y

) + 1; use

x

= 10.1, and

y

= 11.31 1.47174217655294)

y

+

y

+

y

+

x

; use

x

= 7.044, and

y

= 4.8 21.444295)

ba

+

8 ÷

b

; use

a

= 14.3, and

b

= 8.1 116.817654321296)

m

+ 4 −

n

+

n

; use

m

= 9.9, and

n

= 3.29 13.9 297)

x

÷ 2

y

2; use

x

= 14.2, and

y

= 4.316 0.381149607341298)

j

+

j

+ 8 −

h

; use

h

= 10, and

j

= 4.6 7.2299)

p

+

m

÷ (

m

p

); use

m

= 10.29, and

p

= 8.3 13.4708542714300)

x

y

+

y

3; use

x

= 9.9, and

y

= 2.096 17.012180736301)

8(

x

y

) +

x

÷

y

; use

x

= 5.8, and

y

= 2.5 28.72302)

(

x

+

x

x

)(

y

+

x

); use

x

= 5.2, and

y

= 10.9 83.72303)

h

+

j

+ 15 −

(

j

− 3); use

h

= 4.6, and

j

= 11 22.6304)

3(12 −

q

+

p

q

); use

p

= 19.36, and

q

= 1.4 85.68305)

(

y

(

y

z

)) ÷ (

y

+

z

); use

y

= 16.963, and

z

= 13.7 1.80511590516

-4-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 25: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

306)

(

b

+

b

) ÷ (

a

(

c

− 5)); use

a

= 14.2,

b

= 9.8, and

c

= 7.4 1.66101694915307) 7 +

j

÷

h

+ 5

j

; use

h

= 5.2, and

j

= 11.05 64.375308)

10 ÷ (

p

(

m

n

)) +

m

; use

m

= 14.7,

n

= 9, and

p

= 9.5 14.8846722068309) 12 −

(

x

(

y

y

)) ÷ 15; use

x

= 4.6, and

y

= 19.6 11.6933333333310)

p

(

m

(

m

p

)) −

m

; use

m

= 14.2, and

p

= 9 66.8311)

(

y

(

x

(

y

y

))) ÷

x

; use

x

= 5.2, and

y

= 9.1 0.75312)

p

+

q

(

q

÷

q

)3; use

p

= 4.6, and

q

= 17.6 21.2313)

x

2 ÷ (16 −

(

y

− 11)); use

x

= 14.1, and

y

= 15.27 16.9488491049314) 1 +

y

(

z

(

z

z

)); use

y

= 15.609, and

z

= 2.1 14.509315)

x

÷

yz

(1 + 12); use

x

= 4.6,

y

= 7.1, and

z

= 18.58 0.453311905881316)

(

p

+

q

) ÷

q

16 ÷

p

; use

p

= 13.5, and

q

= 16.52 0.632006098108317)

a

(

a

+

b

+

a

2); use

a

= 4, and

b

= 7.1 108.4318)

y

+

y

+

z

(

x

+

x

); use

x

= 13.5,

y

= 15.7, and

z

= 17.1 21.5319) 6 −

(

j

(

h

j

)) ÷

h

; use

h

= 14.1, and

j

= 7.2 5.97872340426320) 6

n

+ 20 −

(

m

m

); use

m

= 4.5, and

n

= 18.24 129.44321)

p

÷ 19 +

m

×

4 ÷ 5; use

m

= 15.395, and

p

= 8.6 12.7686315789322)

x

(

(

y

+

x

) ÷

x

+

y

); use

x

= 14.1, and

y

= 1.73 40.223323) 19

q

p

(

q

q

); use

p

= 13.5, and

q

= 5.2 98.8324)

p

×

17 ÷ (

q

p

+

q

); use

p

= 3.3, and

q

= 13.8 2.30864197531325)

y

z

+

y

z

÷

y

; use

y

= 13.7, and

z

= 12.7 13.7729927007326)

b

÷ (5

a

(10 +

b

)); use

a

= 19.998, and

b

= 15.3 0.204846699692327) 10 −

y

÷ (

x

(

x

x

)); use

x

= 13.4, and

y

= 13.8 8.97014925373328)

(

hj

h

) ÷ (9 − 1); use

h

= 3.9, and

j

= 12.901 5.8017375329)

z

y

×

y

÷

113; use

y

= 16.828, and

z

= 13.1 12.8872414846330)

nm

(

m

m

) +

n

; use

m

= 13.4, and

n

= 11.8 11.8331)

m

− 5 −

m

÷ (

m

+

p

); use

m

= 12.8, and

p

= 11.8 7.27967479675332)

nm

×

n

÷ 5

n

; use

m

= 3.3, and

n

= 11.9 7.854 333)

x

÷ (

y

2 + 4 +

x

); use

x

= 8.89, and

y

= 2.9 0.4173708920334)

yx

÷ (

y

(

x

− 3)); use

x

= 7.38, and

y

= 11.4 11.9846153846335)

p

+

p

+

q

+

q

− 15; use

p

= 12.2, and

q

= 11.42 32.24336)

x

2 +

y

+

y

y

; use

x

= 12.8, and

y

= 10.17 174.01337)

x

+

y

− 6 −

(

x

x

); use

x

= 12.2, and

y

= 18.4 24.6338)

h

×

j

÷ (

h

+

h

) + 9; use

h

= 15.4, and

j

= 18.1 18.05339)

x

(2

y

x

) +

x

; use

x

= 3.2, and

y

= 9.9 56.32340)

12 ×

b

÷

ca

a

; use

a

= 2.6,

b

= 9.9, and

c

= 13.1 0.88796241926341)

(

m

+

n

)2 ÷ (

n

p

); use

m

= 3.2,

n

= 18.5, and

p

= 10.9 61.9592105263342)

13

m

2 ÷ (

p

+

m

); use

m

= 2.6, and

p

= 18.5 4.16492890995343)

p

+

n

+

np

+

n

; use

n

= 10.192, and

p

= 6.8 96.4896344) 18 −

(

y

x

÷

x

) +

x

; use

x

= 12.7, and

y

= 15.64 16.06345)

y

y

÷

(

z

2)3; use

y

= 8, and

z

= 14.4 7.99999910275346)

(

p

(

q

+

p

+

p

)) ÷

p

; use

p

= 2, and

q

= 16.5 20.5

347)

(20 −

x

)2 ÷ (

y

+

x

); use

x

= 2.6, and

y

= 16.5 15.8513089005348)

(20 +

a

(

a

+ 9)) ÷

b

; use

a

= 11.5, and

b

= 5.9 1.86440677966349)

x

3 + 17 +

x

÷

z

; use

x

= 2, and

z

= 12.1 25.1652892562350)

(

h

h

3) ÷ (

j

h

); use

h

= 2.6, and

j

= 5.36 16.5571014493351)

y

x

14 ÷

z

+

x

; use

x

= 12.1,

y

= 16.6, and

z

= 16.61 15.7571342565352)

2 ÷

p

+

pm

+ 4; use

m

= 11.5, and

p

= 14.6 172.036986301353)

m

÷ 16 −

(

n

÷

m

)2; use

m

= 12.1, and

n

= 6.1 0.502100693259354)

p

n

÷ (

p

(

p

+

m

)); use

m

= 1.9,

n

= 14.7, and

p

= 2.8 1.6829787234355)

y

2x

x

÷

y

; use

x

= 12.1, and

y

= 4 190.575 356)

yz

÷ (

y

z

) +

z

; use

y

= 4.1, and

z

= 3.4 23.3142857143357)

b

+

a

÷ 18 +

a

+

a

; use

a

= 1.3, and

b

= 12.7 15.3722222222

-5-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 26: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

358)

y

(14 −

y

) + 5

x

; use

x

= 7.91, and

y

= 8.4 42.35359)

(

x

+ 19) ÷ (

y

(

y

y

)); use

x

= 10.9, and

y

= 2.1 14.2380952381360)

(

j

h

(

j

j

)) ÷

j

; use

h

= 9.41, and

j

= 10.7 0.120560747664361)

b

2 +

18(

a

+

a

); use

a

= 1.9, and

b

= 2.1 72.81 362)

(

p

+

m

)(

p

2 +

m

); use

m

= 1.3, and

p

= 2.2 21.49363)

q

q

÷

p

p

÷

q

; use

p

= 10.9, and

q

= 10.83 8.82995849111364)

zy

y

z

÷ 17; use

y

= 10.7, and

z

= 10.4 99.9682352941365)

13

y

÷ (17 −

x

3); use

x

= 1.8, and

y

= 10.8 12.571633237366)

8 ÷ (11 −

(

n

p

) +

n

); use

n

= 6.8, and

p

= 5.8 0.47619047619367)

(

p

2 +

p

+

p

) ÷

q

; use

p

= 19.8, and

q

= 19.3 22.3647668394368) 12 −

(

b

a

) +

b

+

a

; use

a

= 10.2, and

b

= 19.4 32.4369)

(

j

+

j

) ÷ (

h

+

j

2); use

h

= 1.2, and

j

= 8.8 0.223804679552370)

y

+

y

x

÷ (

y

x

); use

x

= 10.8, and

y

= 19.3 37.3294117647371)

z

x

2 −

(2 +

x

); use

x

= 1.3, and

z

= 16.6 11.61372)

b

×

(

b

+

a

) ÷ 13

a

; use

a

= 10.8, and

b

= 2.75 0.265402421652373)

p

m

1 ÷

m

+

m

; use

m

= 10.2, and

p

= 17.3 17.2019607843374)

m

+

n

+ 3 −

m

m

; use

m

= 19.7, and

n

= 17.5 0.8375) 9 +

yx

(

x

y

); use

x

= 10.2, and

y

= 6.9 76.08376) 12 +

m

+

m

p

m

; use

m

= 10.7, and

p

= 6.8 15.9377)

p

q

÷

p

×

p

÷ 17; use

p

= 9.6, and

q

= 6.9 9.6 −

0.405882352941378)

22 +

a

+

b

÷

a

; use

a

= 19.1, and

b

= 15.4 23.9062827225379)

112 +

y

÷

x

+

x

; use

x

= 1.2, and

y

= 17.4 136.7380)

h

÷

j

(13 +

hj

); use

h

= 10.1, and

j

= 15.5 110.480967742381)

p

(19 −

p

) −

(

m

− 9); use

m

= 19.1, and

p

= 5 59.9382)

p

+

72 ÷ (

p

+

m

); use

m

= 9.5, and

p

= 12.6 14.8171945701383) 12 −

x

+

x

÷

yx

; use

x

= 10.1, and

y

= 5 2.1384)

p

(

m

+

p

2) +

p

; use

m

= 19.6, and

p

= 4.054 150.139549464385)

7

x

×

(

x

y

) ÷

x

; use

x

= 19, and

y

= 13.6 37.8 386)

a

+

b

ab

÷ 15; use

a

= 19.7, and

b

= 4.9 18.164666666387)

x

+

y

+

y

y

+

y

; use

x

= 9.5, and

y

= 3 15.5388)

p

q

(

q

+

p

÷ 19); use

p

= 18.5, and

q

= 3 11.5263157895389)

x

+

y

+ 8

y

2; use

x

= 16.45, and

y

= 3.8 135.77390)

b

+

b

(

b

(

a

+ 2)); use

a

= 9.4, and

b

= 16.66 28.06391)

k

+

j

+

h

k

j

; use

h

= 19,

j

= 11.5, and

k

= 8.3 19392)

(7 −

y

) ÷

x

y

÷ 17; use

x

= 19, and

y

= 1.1 0.245820433437393)

m

×

9 ÷

n

+

n

+

n

; use

m

= 18.4, and

n

= 1.1 152.745454545394)

p

×

m

÷ (

m

+ 9 +

p

); use

m

= 7.148, and

p

= 2.1 0.822599736957395)

h

2 −

j

+ 15 +

j

; use

h

= 8.9, and

j

= 1 94.21 396)

xy

÷ (

x

(

y

+

x

)); use

x

= 8.8, and

y

= 9.6 0.521739130435397)

p

(18 −

(1 + 6 +

q

)); use

p

= 8.2, and

q

= 9.7 6.9398)

k

+

h

+

h

+

k

− 14; use

h

= 16.46, and

k

= 15.8 50.52399)

x

+

y

+ 1 + 18 −

y

; use

x

= 18.4, and

y

= 18.1 37.4400)

(

b

2(

a

b

)) ÷

b

; use

a

= 11.751, and

b

= 8.8 25.9688401)

(

x

+

x

) ÷ (6 +

z

); use

x

= 5

12

, and

z

= 1

23

1

1023

402)

m

2(

m

+

n

); use

m

=

15

, and

n

= 7

215

2275

403)

h

÷ (

j

2 −

h

); use

h

=

32

, and

j

= 3

13

27173

404)

x

+

x

+

y

+ 11; use

x

= 2

15

, and

y

=

23

16

115

405)

p

+

r

+

4

r

; use

p

= 4

29

, and

r

= 14 18

3263

406)

(

x

y

) ÷ 12

y

; use

x

= 4

712

, and

y

= 2

31288

407)

p

+ 7 + 9 +

q

; use

p

= 1

613

, and

q

= 1 18

613

408)

y

y

+ 9 −

x

; use

x

=

2615

, and

y

= 7

12

7

415

409)

y

+ 11 − 3 −

x

; use

x

= 2

12

, and

y

= 7 12

12

-6-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 27: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

410)

h

+

j

+

j

+ 10; use

h

= 3

29

, and

j

=

715

14

745

411)

j

×

(

h

j

) ÷

h

; use

h

= 6

713

, and

j

= 4

16

1

313612

412)

(

y

(12 −

y

)) ÷

z

; use

y

= 7

910

, and

z

=

1811

19

14291800

413)

a

+

b

÷

a

2; use

a

=

25

, and

b

=

54

8

1780

414)

p

+ 44

q

; use

p

= 5

813

, and

q

= 2

311

105

813

415)

(4 +

m

)(12 −

n

); use

m

= 6

89

, and

n

=

14

127

1718

416)

p

(

m

2)2; use

m

=

1013

, and

p

=

107

1

15683199927

417)

z

y

2 ÷

x

; use

x

=

12

,

y

=

16

, and

z

=

67

101126

418)

q

÷

(6

p

)2; use

p

=

19

, and

q

= 7

49

16

34

419)

y

x

(

y

+

x

); use

x

= 7

56

, and

y

= 4

115

6

2091175

420)

y

(

x

x

) −

x

; use

x

=

23

, and

y

= 10

211

9

1733

421)

x

+

yx

y

; use

x

= 2

27

, and

y

=

711

3

877

422)

(

m

+

m

+ 4) ÷

n

; use

m

= 2, and

n

=

23

12 423)

h

+

11(

j

+ 6); use

h

= 1, and

j

= 5

25

126

25

424)

a

b

(

c

c

); use

a

= 7

310

,

b

= 3

19

, and

c

=

12

7

310

425)

q

×

q

÷ (15 +

p

); use

p

= 5

29

, and

q

= 7

23

2

165182

426)

8

xy

x

; use

x

=

16

, and

y

=

114

47

427) 5 +

p

q

2; use

p

= 1, and

q

=

813

5

105169

428)

138

z

y

; use

y

= 4

811

, and

z

=

413

195352

429)

x

2(

y

+

y

); use

x

=

110

, and

y

= 5

34

23200

430)

r

÷ (

p

+ 1 − 2); use

p

= 2

914

, and

r

= 3

110

1

102115

431)

m

÷ (

m

+ 6) +

n

; use

m

= 4

34

, and

n

= 5

34

6

33172

432)

(

x

+

x

) ÷

x

y

; use

x

=

127

, and

y

=

74

14

433)

j

÷ (

h

(

j

+

h

)); use

h

=

34

, and

j

= 2

613

1

11501

434) 10 +

y

+

x

2; use

x

=

1011

, and

y

= 3 13

100121

435)

(

q

+

p

) ÷ (5 +

p

); use

p

= 2, and

q

= 4

47

4649

436)

a

b

(

a

a

); use

a

= 6

1114

, and

b

= 1

23

5

542

437)

3

p

2

m

; use

m

=

118

, and

p

= 6

59

93

227297

438) 7

x

+

x

y

; use

x

= 11, and

y

= 1 87

439)

y

(

z

(

y

y

)); use

y

=

34

, and

z

= 2 1

12

440)

p

p

+

p

q

; use

p

= 2, and

q

=

1511

1

711

441)

j

h

+

h

+ 4; use

h

= 2, and

j

= 1 6

12

442)

y

(

y

x

+

x

); use

x

= 6

411

, and

y

= 11 89

170

443)

a

×

b

÷ (

a

+

b

); use

a

= 4

15

, and

b

=

1910

1

94305

444)

(

n

(5 +

m

)) ÷ 1; use

m

=

179

, and

n

= 4

15

28

1415

445)

y

(

x

(3 −

x

)); use

x

= 2, and

y

= 6

12

5

12

446)

(

m

+ 7)(13 +

p

); use

m

=

65

, and

p

= 2 123

447)

y

3 −

x

; use

x

= 1

12

, and

y

= 2 6

12

448)

(

m

+

p

)2 ÷

m

; use

m

= 7

1112

, and

p

=

169

11

894110260

449)

rp

(

q

+ 2); use

p

= 2

49

,

q

=

127

, and

r

= 3

58

32

115126

450)

a

+

a

c

+ 11; use

a

= 7

19

, and

c

= 1

23

23

59

451)

9

x

(

x

y

); use

x

= 14, and

y

=

1714

8

43196

452)

k

2 −

j

+

h

; use

h

= 7

112

,

j

=

14

, and

k

= 5

712

38

1144

-7-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 28: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

453)

y

2 −

(14 +

x

); use

x

=

65

, and

y

= 6

56

31

89180

454)

6(

z

+

x

+ 1); use

x

= 1, and

z

= 5

23

46

455) 12

p

+

mp

; use

m

= 2

513

, and

p

=

13

4

3139

456)

p

8+

p

+

m

; use

m

= 2, and

p

= 7

1011

10

7988

457)

p

(

p

+

q

p

); use

p

= 13, and

q

= 6

49

6

59

458)

8 ×

(8 +

x

) ÷

y

; use

x

= 6

310

, and

y

=

54

91

1325

459)

h

(

h

+

j

+

j

); use

h

= 6

23

, and

j

= 1 57

79

460)

x

(

y

y

) +

x

; use

x

= 7

56

, and

y

= 2

27

7

56

461)

c

a

÷

102; use

a

=

117

, and

c

= 6

514

6

239700

462)

x

(3 +

y

)2; use

x

= 2

12

, and

y

= 1

112

41

197288

463)

b

(

a

+

b

2); use

a

=

54

, and

b

= 5

16

144

41108

464)

p

+

p

m

m

; use

m

= 5

47

, and

p

= 4

310

7

35

465)

(

z

+ 1) ÷ 6 +

x

; use

x

= 7

310

, and

z

= 2

15

7

56

466)

y

x

(

y

y

); use

x

= 2, and

y

= 4

1115

2

1115

467)

n

2 ×

m

n

; use

m

= 6

1314

, and

n

=

710

4

1720

468)

y

(

x

y

3); use

x

=

37

, and

y

=

58

15793584

469) 8 −

(

q

6

p

); use

p

= 15, and

q

=

12

7

910

470)

3

x

2y

; use

x

=

57

, and

y

= 5

16

1

107775

471)

(

6(

n

+

m

)) ÷

m

; use

m

=

119

, and

n

=

53

14

211

472)

j

(

j

+

hj

); use

h

= 5

57

, and

j

=

79

4

581

473)

y

×

xy

x

; use

x

=

311

, and

y

= 6

12

42

14

474)

a

÷ (

a

(

a

b

)); use

a

= 7

514

, and

b

= 1 7

514

475)

7

x

×

y

3; use

x

= 2

1115

, and

y

= 2

715

15

494675

476)

8(

n

(

m

m

)); use

m

= 6

34

, and

n

= 7

57

61

57

477)

m

÷ (

p

p

2); use

m

=

1811

, and

p

=

713

6

4577

478)

p

2m

p

; use

m

=

47

, and

p

= 5 2

67

479)

3(

b

a

) +

b

; use

a

=

12

, and

b

= 1 2

12

480)

26(

x

+

y

); use

x

= 1

35

, and

y

= 1

13

76

415

481)

q

+ 7

p

2; use

p

=

18

, and

q

=

2915

2

41960

482)

11 ÷ (

y

(

z

y

)); use

y

=

413

, and

z

= 3

23

10

337524

483)

(

a

(

b

b

)) ÷

b

; use

a

=

169

, and

b

= 7

712

64273

484)

y

÷ (

x

2 −

x

); use

x

= 2

1315

, and

y

= 14

1115

2

9071204

485)

11

p

(

m

p

); use

m

= 6

12

, and

p

= 6

13

11

1118

486)

y

3 −

y

x

; use

x

=

95

, and

y

= 3

56

50

7511080

487)

q

m

+

p

2; use

m

=

23

,

p

= 2

13

, and

q

=

514

5

247252

488)

15 ÷ (

b

+

a

a

); use

a

=

32

, and

b

=

158

8

489)

m

÷ (

n

(

m

n

)); use

m

= 5

58

, and

n

= 4 2

719

490)

z

(

z

+

z

y

); use

y

= 7

67

, and

z

= 7

514

50

2249

491) 10

z

+ 6

x

; use

x

= 5

35

, and

z

= 3

1314

72

3135

492) 9 +

p

(

p

q

); use

p

= 4

112

, and

q

=

32

19

79144

493)

k

+ 6 −

kh

; use

h

=

12

, and

k

= 6

14

9

18

494)

b

+

a

2

a

; use

a

= 5

29

, and

b

= 3

16

8

718

495)

p

+ 8 −

(

m

+

m

); use

m

=

32

, and

p

= 8 13 496)

x

2 −

y

2; use

x

= 6

310

, and

y

= 3

12

27

1125

497)

z

+

(

y

+

z

) ÷ 5; use

y

= 2, and

z

=

12

1 498) 5 +

p

2+

m

; use

m

=

213

, and

p

= 6

713

8

1126

-8-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 29: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

499)

q

+

(

p

2)2; use

p

=

23

, and

q

= 5 5

1681

500)

(9 −

x

) ÷

y

+

y

; use

x

= 1, and

y

=

314

37

2342

501) 3

j

k

(8 −

h

); use

h

=

12

,

j

= 10

419

, and

k

=

45

24

1219

502)

x

2 −

x

x

y

; use

x

= 1

1320

, and

y

= 2

1114

24975200

503)

(

h

j

)(

j

+

h

) +

j

; use

h

= 6

1115

, and

j

=

65

45

22225

504)

(

y

+

x

) ÷ (

y

− 5 + 10); use

x

=

45

, and

y

= 8

314

631925

505)

5

mn

m

m

; use

m

= 10

12

, and

n

= 10

89

43

1718

506)

a

×

(13

a

b

) ÷

a

; use

a

= 4

1517

, and

b

= 3

23

59

4151

507)

yx

(

y

x

x

); use

x

=

89

, and

y

= 4

13

9

205243

508)

7(

m

p

) +

m

p

; use

m

= 4

719

, and

p

=

169

20

124171

509) 15 +

j

+ 15 −

(

h

+ 18); use

h

= 1, and

j

= 3

217

14

217

510)

p

(

p

(

p

q

12)); use

p

= 5

56

, and

q

= 1

47

5

5984

511)

y

x

+

y

y

+ 17; use

x

= 1, and

y

=

1716

19

116

512)

x

+

(6 −

(

z

+ 4)) ÷

x

; use

x

=

14

, and

z

=

1913

2

2152

513)

j

h

+

j

+

h

17; use

h

= 1, and

j

= 9

913

18

98221

514)

b

+ 9

a

(

b

b

); use

a

= 13

35

, and

b

=

3119

124

395

515)

(

x

+

y

) ÷ (19 +

x

) +

y

; use

x

= 8

1011

, and

y

= 13

49

14

226921

516) 5 −

(

p

+

p

) +

m

m

; use

m

= 4

16

, and

p

=

12

4

517)

n

2

m

3 ; use

m

=

79

, and

n

= 3

611

26

2973141503

518) 9 −

(

y

+

y

y

) ÷

x

; use

x

= 7

23

, and

y

= 7

514

8

13322

519)

y

2 ÷ (

y

+

y

+

x

); use

x

= 2, and

y

= 4

316

1

18332656

520)

(

q

+

p

3) ÷ (12 −

q

); use

p

=

1213

, and

q

=

919

17535160381

521)

(

yx

(

y

+

y

)) ÷

y

; use

x

= 2

110

, and

y

= 7

14

30

920

522)

b

+ 1 −

(

a

+

a

a

); use

a

=

1511

, and

b

= 19 18

711

523)

x

+

x

x

xy

; use

x

=

1314

, and

y

=

1314

7191

524)

j

+

h

2 −

j

+

h

; use

h

= 4

29

, and

j

= 7

417

22

481

525)

5

p

×

(

r

q

) ÷

r

; use

p

= 7

217

,

q

=

45

, and

r

=

74

19

38119

526)

y

2(14 − 4 +

x

); use

x

=

43

, and

y

= 4

110

190

77150

527)

20

m

(

m

+

n

+

m

); use

m

= 7

815

, and

n

= 1

513

43

9931469

528)

18

m

(

m

− 4

p

); use

m

= 2, and

p

=

37

10

27

529)

x

x

+

x

xy

; use

x

= 6

910

, and

y

= 9

1011

11109

530)

y

+

3

y

+ 2

x

; use

x

= 3

114

, and

y

=

59

12

31315

531)

p

q

2 −

(

p

r

); use

p

= 6

411

,

q

=

117

, and

r

=

13

286867

-9-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 30: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

532)

p

(

q

p

) ÷ (

p

+ 19); use

p

= 8

119

, and

q

= 9

1112

7

115285117192

533)

h

+

k

− 5 +

j

+

k

; use

h

= 2,

j

= 5

89

, and

k

= 7

215

17

745

534)

x

(

11(

y

+

y

) −

y

); use

x

=

920

, and

y

=

43

12

35

535)

b

(

a

b

) −

(15 +

b

); use

a

= 20, and

b

= 8

58

74

3164

536) 6 +

x

x

(

y

y

); use

x

= 9

1112

, and

y

= 4

1011

15

1112

537)

y

÷ (

x

+

y

(14 − 13)); use

x

=

1716

, and

y

= 5

1415

14241439

538)

p

m

(

m

+ 7

p

); use

m

=

2419

, and

p

=

45

4

2675

539)

(15 −

n

(2 + 10)) ÷

m

; use

m

=

53

, and

n

=

116

710

540)

x

+

y

(3 −

x

)3; use

x

=

45

, and

y

= 17 7

19125

541)

x

+

x

y

+

y

x

; use

x

= 10

34

, and

y

=

3017

17

51187720

542)

x

+

5

y

x

x

; use

x

= 7

78

, and

y

= 3

23

8

2188

543)

p

p

(

q

− 9

p

); use

p

=

17

, and

q

=

43

20147

544)

(

a

2(

b

a

)) ÷

b

; use

a

= 12, and

b

= 20 57

35

545) 7 + 14 − 10 −

(

k

+

j

); use

j

=

12

, and

k

= 8

120

2

920

546) 8 −

(

12

x

y

2); use

x

= 5

1516

, and

y

=

54

7

8231520

547)

17 ×

m

p

+ 20 +

m

; use

m

= 9

89

, and

p

= 1 198

548)

12 ×

m

÷ (

pq

+

m

); use

m

= 1,

p

= 4

23

, and

q

= 7

58

144439

549) 13 +

q

(

p

p

) −

q

; use

p

= 5

1718

, and

q

= 7

514

13

550)

y

×

xy

9

x

; use

x

= 9

14

, and

y

= 6

617

4

140289

551) 3 + 12 −

x

y

x

; use

x

=

2319

, and

y

=

12

12

338

552)

(20 −

n

+

n

) ÷ (

m

+

m

); use

m

= 6

120

, and

n

=

117

1

79121

553) 8 −

(

y

y

) ÷

x

x

; use

x

= 5

58

, and

y

= 9

310

2

38

554)

p

÷ (

q

2(

p

q

)); use

p

=

95

, and

q

=

169

25

161256

555) 5 −

h

2 ×

j

16; use

h

=

179

, and

j

= 1 4

10071296

556)

(

a

b

)(7

a

a

); use

a

= 5, and

b

=

2320

115

12

557)

(

y

+ 6)2 ÷

xy

; use

x

= 8

56

, and

y

=

911

6

252583

558)

(

x

+ 1 −

y

2) ÷

y

; use

x

= 6

114

, and

y

=

1719

7

394522

559)

m

2 −

pq

+

p

; use

m

= 10

1113

,

p

= 8

1114

, and

q

= 2

320

107

2533947320

560)

y

×

y

x

y

+ 6; use

x

=

12

, and

y

= 7 97 561)

m

2(

n

(

m

m

)); use

m

=

14

, and

n

= 6

12

1332

562)

(

m

2n

+

n

) ÷

m

; use

m

= 5

38

, and

n

= 7

14

40

4371376

-10-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 31: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

563)

y

+

x

+

y

x

y

; use

x

= 8

1417

, and

y

= 8

1112

8

1112

564)

b

÷ (

ab

c

3); use

a

= 7

118

,

b

= 10

118

, and

c

= 3

113

715782629766439

565)

19 ÷ (

x

(18 −

y

− 1)); use

x

= 14, and

y

= 8

310

3

3153

566)

(19 +

k

)2 ÷

kj

; use

j

= 4

23

, and

k

=

78

96

579784

567)

p

2 −

(

p

q

) ÷

q

; use

p

= 3

511

, and

q

=

169

10

959968

568)

x

(15 −

x

) −

(

z

z

); use

x

= 2, and

z

= 19 26569)

a

(

b

+

b

1515 ); use

a

= 7

23

, and

b

= 8

23

125

29

570)

y

2 +

y

+

z

2; use

y

= 1

817

, and

z

= 9

512

92

1276941616

571)

(

x

+

x

(

y

y

)) ÷

x

; use

x

=

95

, and

y

= 1

311

2

572)

(

m

+

p

) ÷

p

m

14; use

m

=

3319

, and

p

=

2918

1

73597714

573)

15(10 +

x

y

) +

y

; use

x

=

34

, and

y

= 5

67

157

8931148

574)

(

y

+

x

)(

x

+

x

x

); use

x

= 6

12

, and

y

= 7

718

90

518

575)

p

÷ (

p

(

q

2 −

p

)); use

p

=

89

, and

q

= 1 1

17

576)

z

2 +

y

÷ (7 +

y

); use

y

=

118

, and

z

=

76

1

12672412

577)

(

j

(

j

h

)) ÷ (

h

+

h

); use

h

= 1, and

j

= 3

320

3

309800

578)

13 ×

(

a

− 3) ÷ (

a

+

b

); use

a

= 6

56

, and

b

=

15

7

18211

579)

n

÷ (

n

+

n

(

n

+

m

)); use

m

= 4

114

, and

n

= 9

120

1

570697

580)

y

+ 8 +

y

+

x

y

; use

x

= 3

1019

, and

y

= 8

1112

20

101228

581)

a

÷ (

a

2 +

c

+

a

); use

a

=

1316

, and

c

= 1

117

353611017

582)

n

m

m

m

2; use

m

=

15

, and

n

= 6

1114

6

121350

583)

m

2 ÷

m

(

m

p

); use

m

= 6

111

, and

p

= 1 1 584) 2

m

p

m

m

; use

m

= 8

37

, and

p

=

14

8

6591652

585) 14 +

y

(3 −

(

x

+

x

)); use

x

=

18

, and

y

=

34

12

586) 9 −

y

÷ (

x

+

y

) +

y

; use

x

= 1, and

y

= 14 22

115 587)

h

2

h

2j

; use

h

= 10

49

, and

j

= 3

120

2061

588)

(

c

b

) ÷ (

a

b

+ 1); use

a

= 5

34

,

b

=

2717

, and

c

= 9

49

1

16493159

589)

(19

q

(

q

q

)) ÷

p

; use

p

= 1

45

, and

q

= 3

23

38

1927

590)

y

2x

x

2; use

x

=

67

, and

y

= 10

117

63

7105599127

591)

45

b

(

a

+ 20); use

a

= 7

112

, and

b

=

817

68

1324

592)

(

14(

y

+

x

)) ÷ (

y

+

x

); use

x

= 10

811

, and

y

= 5

17

14

-11-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 32: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

593)

m

(

m

m

) −

(

p

m

); use

m

=

75

, and

p

=

53

1

215

594)

n

n

(

m

m

)2; use

m

=

18

, and

n

= 4

712

4

712

595)

x

+

x

y

(13 −

x

); use

x

= 5

1314

, and

y

=

53

31

81980

596)

2 ×

m

q

− 2

q

; use

m

=

2513

, and

q

=

47

5

107182 597)

(

p

q

)3

q

2; use

p

=

23

, and

q

= 5

120

−40804000

109853193

598)

y

3 +

x

2 −

x

; use

x

= 2

59

, and

y

=

15

3

995610125

599)

y

x

3 +

x

; use

x

=

13

, and

y

=

2717

1

406459

600)

40

(

j

k

)3

; use

j

=

2917

, and

k

=

65

114

120911132651

601)

x

+

y

+

yx

; use

x

= 14

511

, and

y

= 4

710

87

111

602) 1 −

a

b

+

a

; use

a

= 6

1011

, and

b

= 7

58

7

2671

603)

x

(

y

+

y

x

); use

x

= 11, and

y

= 5

411

64

411

604)

p

m

÷ (

p

+ 14); use

m

= 6

23

, and

p

= 6

57

6

239609

605)

(

m

+

m

+

m

) ÷

p

; use

m

= 1, and

p

= 3

911

1114

606)

(

p

+

q

q

) ÷

p

; use

p

= 4

78

, and

q

= 1

19

1 607)

m

(

n

− 3)2; use

m

= 6

310

, and

n

= 4

25

4

1750

608)

y

y

+

x

1; use

x

= 3

715

, and

y

= 1

56

3

715

609)

(

y

+

y

+

x

) ÷

y

; use

x

= 6

58

, and

y

= 7

56

2

159188

610)

6(

x

(

y

y

)); use

x

= 6

12

, and

y

= 7

59

39 611)

(

j

(

j

+

h

)) ÷

j

; use

h

= 3

415

, and

j

= 5

45

9

115

612) 13 −

h

(

j

+

h

); use

h

= 1

413

, and

j

= 3

815

6

166195

613)

(

x

y

2) ÷

y

; use

x

= 3

27

, and

y

= 1

34

25196

614)

b

b

(

a

a

); use

a

= 1, and

b

= 1

213

1 615)

x

(

y

+ 12 − 6); use

x

= 7

712

, and

y

= 3

112

68

127144

616)

m

+

n

+

m

m

; use

m

= 6

56

, and

n

= 4

12

11

13

617)

(

p

+

q

)(

q

+ 3); use

p

= 7

34

, and

q

= 1

13

39

1336

618)

x

÷ (

y

+

y

y

); use

x

= 3

110

, and

y

= 5

3150

619) 3 +

p

m

p

; use

m

= 7

112

, and

p

= 2

79

3

41180

620)

(11

x

y

) ÷

x

; use

x

= 7

14

, and

y

= 1

415

10

359435

621)

k

h

2 − 6; use

h

= 6

511

, and

k

= 3

29

128

2631089

622)

7

j

+

h

− 2; use

h

= 4

59

, and

j

= 7 3

59

623)

a

(

a

+ 11 −

b

); use

a

= 4

13

, and

b

= 1

710

59

790

624)

(

y

z

) ÷ 7 +

x

; use

x

= 5

23

,

y

= 2

712

, and

z

= 1

56

5

6584

625)

m

3 −

n

+ 7; use

m

= 4

215

, and

n

= 2

56

74

52816750

626)

x

2 ÷ (10 −

y

); use

x

= 4

215

, and

y

= 6

18

4

92225

627)

p

+

m

m

2; use

m

= 4

38

, and

p

= 15

1564

628)

z

(

y

2 +

z

); use

y

= 3

1113

, and

z

= 2

14

38

9372704

629)

(

x

+ 9

y

) ÷

y

; use

x

= 3

58

, and

y

= 6

112

9

87146

630)

xy

y

+

x

; use

x

= 4

56

, and

y

= 5

14

9

23

631)

z

+

z

+

z

y

; use

y

= 2

56

, and

z

= 3

25

8 632)

p

+

q

+

q

q

; use

p

= 3

514

, and

q

= 2

611

5

139154

633)

p

65

q

; use

p

= 1

57

, and

q

= 6

57

1

8811645

634)

(

a

2 −

a

) ÷

b

; use

a

= 7

213

, and

b

= 4

34

9

8613211

635)

(14

j

h

) ÷ 3; use

h

= 7

15

, and

j

= 4

23

19

1745

636)

y

+

x

15

x

; use

x

= 7

611

, and

y

= 7

12

13

1051826

-12-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 33: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

637)

nm

÷

n

2; use

m

= 3, and

n

= 15

13

946

638)

p

(

13

q

p

); use

p

= 2

310

, and

q

= 4

1315

62337300

639)

m

2 +

m

p

; use

m

= 5

34

, and

p

= 1

913

37

25208

640)

y

÷ (

x

y

) +

y

; use

x

= 11, and

y

= 6

25

7

91115

641)

yx

x

− 4; use

x

= 5

310

, and

y

= 5

13

1

13

642)

x

×

z

÷ (

x

+ 6); use

x

= 5

12

, and

z

= 6

27

3

1161

643)

ab

+

b

a

; use

a

= 3

79

, and

b

= 3 12

13102

644) 13

p

q

q

; use

p

= 7

12

, and

q

= 1

12

96

12

645)

n

(

n

m

) + 3; use

m

= 2

47

, and

n

= 4

58

5

47

646)

(15 −

h

) ÷ (

j

+

j

); use

h

= 3

1315

, and

j

= 1

111

5

37360

647)

y

2(

y

x

); use

x

= 1

114

, and

y

= 3

114

18

8598

648)

m

2 −

p

m

; use

m

= 1

1113

, and

p

= 5

67

669128392

649)

rq

(12 +

q

); use

q

= 7

311

, and

r

= 3

12

6

211

650)

x

(4 +

y

y

); use

x

= 5

16

, and

y

= 6

56

20

23

651)

(

x

(3 +

z

)) ÷

y

; use

x

= 2

112

,

y

= 1

611

, and

z

= 6

14

12

383816

652)

h

+

h

15

j

; use

h

= 5

811

, and

j

= 5

15

8

163286

653)

(

y

x

+

y

) ÷

y

; use

x

= 4

34

, and

y

= 5

1315

1

67352

654)

2

n

+

m

3; use

m

= 5

13

, and

n

= 5

12

2

1499

655)

a

(10 −

(

a

b

)); use

a

= 6

35

, and

b

= 1

16

30

750

656)

z

÷ (

4(

y

x

)); use

x

= 3

89

,

y

= 4, and

z

= 1

12

3

38

657)

p

+

q

(

q

q

); use

p

= 1

112

, and

q

= 7

12

8

712

658)

mp

p

+ 14; use

m

= 4

49

, and

p

= 2

415

21

109135

659)

m

(

n

+

n

m

); use

m

= 6

12

, and

n

= 7

1314

60

2328

660)

x

y

2 −

x

; use

x

= 2

18

, and

y

= 7

14

109

73128

661)

a

+

a

+

b

+

a

; use

a

= 5

715

, and

b

= 6

811

23

755

662)

n

(

n

m

7 ); use

m

= 1

913

, and

n

= 9 78

7591

663)

8 ÷ (

h

h

+

j

); use

h

= 1

47

, and

j

= 2

813

3

117

664)

(

q

p

)3 ÷

q

; use

p

= 5

18

, and

q

= 6

512

2979188704

665)

m

2 −

(

p

p

); use

m

= 7

45

, and

p

= 6

79

60

2125

666)

xy

(7 +

y

); use

x

= 6

45

, and

y

= 2

12

7

12

667)

2

x

(13 −

y

); use

x

= 3

112

, and

y

= 2

413

65

7378

668)

z

÷ (

x

(1 +

z

)); use

x

= 5

34

, and

z

= 1

58

52483

669)

m

1 ÷

n

2; use

m

= 5

512

, and

n

= 7

1415

5

68105169932

670)

3

p

(

p

+

q

); use

p

= 5

14

, and

q

= 2

911

127

13176

671)

b

(

c

c

) +

b

; use

b

= 7

910

, and

c

= 4

13

7

910

672)

h

h

+

j

2; use

h

= 4

13

, and

j

= 6

47

43

949

673)

y

(

y

+

x

) −

y

; use

x

= 1

613

, and

y

= 2

512

6

17891872

674)

y

2 −

x

2; use

x

= 1

19

, and

y

= 7

18

49

27535184

675) 5 −

b

+

a

2; use

a

= 3

59

, and

b

= 4

14

13

127324

676)

yx

2 +

y

; use

x

= 2

215

, and

y

= 2

711

14

15712475

677)

(

m

(

m

+

n

)) ÷

m

; use

m

= 2

37

, and

n

= 1

29

3

4163

678)

(

x

(

y

+

x

)) ÷

y

; use

x

= 6

314

, and

y

= 5

14

13

391686

-13-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 34: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

679)

rp

r

+

r

; use

p

= 6

114

, and

r

= 6

1314

13 680)

(

a

+ 13 −

b

) ÷

b

; use

a

= 7

56

, and

b

= 12

5372

681)

h

÷ (

k

2 +

j

); use

h

= 3

712

,

j

= 1

38

, and

k

= 5

613

14534126561

682)

(

6(

p

m

)) ÷

p

; use

m

= 6

911

, and

p

= 7

411

49

683)

y

(

y

x

6 ); use

x

= 6

35

, and

y

= 2

514

1

110

684)

n

2 −

p

p

; use

n

= 1

12

, and

p

= 1

34

1

14

685)

7

x

×

y

2; use

x

= 7

310

, and

y

= 6

112

35

3572

686) 5 +

p

2 −

m

; use

m

= 5

13

, and

p

= 5

1315

34

19225

687)

x

2 ÷

y

− 4; use

x

= 5

511

, and

y

= 6

710

35728107

688)

b

+

b

÷ (

a

b

); use

a

= 6

25

, and

b

= 4

512

6

9191428

689)

p

+ 13 +

q

2; use

p

= 3

910

, and

q

= 3

813

29

16411690

690)

(

y

x

)2 + 13; use

x

= 2

12

, and

y

= 4

1415

18

829900 691)

(

j

h

)3

+

h

; use

h

= 2

18

, and

j

= 1

19

2

767757728652616

692)

a

2 +

b

2; use

a

= 4

12

, and

b

= 5

15

47

29100

693)

12

c

2

b

; use

b

= 5

56

, and

c

= 3

13

3

37

694)

(

82 +

x

) ÷

y

; use

x

= 7

17

, and

y

= 3

34

18

3435

695)

p

×

(

m

+

p

) ÷ 8; use

m

= 2

67

, and

p

= 4

25

3

347350

696)

x

(

x

+

y

y

); use

x

= 2

1115

, and

y

= 6

78

7

106225

697)

m

2 +

p

+ 8; use

m

= 7

413

, and

p

= 1

89

63

4431521

698)

m

(

n

(

n

n

)); use

m

= 7

813

, and

n

= 2

910

22

11130

699)

(

q

+

q

) ÷

qp

; use

p

= 6

16

, and

q

= 7

37

1237

700)

x

+

y

+

y

y

; use

x

= 6

16

, and

y

= 1

38

7

1324

701)

xy

(

y

2 −

z

); use

x

= 13,

y

= 10

67

, and

z

= 5

710

28

473490

702)

(

y

2 +

x

) ÷ 4

y

; use

x

= 3

1315

, and

y

= 4

1318

1

1178930600

703)

x

2

yx

+

y

; use

x

= 8

1118

, and

y

= 4

59

6

329738

704)

j

+

k

(

j

h

) +

j

; use

h

= 3

27

,

j

= 8

211

, and

k

= 15

56

27

139462

705)

(5 +

m

) ÷ (

p

2 −

m

); use

m

= 6

215

, and

p

= 4

17

1

768107

706)

(

z

(

y

+ 6)) ÷ (

x

y

); use

x

= 2

919

,

y

= 1

16

, and

z

= 9

58

52

9251192

707)

m

(16 −

n

n

n

); use

m

= 9

511

, and

n

= 8

116

2

91176

708)

20

x

+

y

+

y

+ 5; use

x

= 3

37

, and

y

= 8

914

28

542

709)

m

(9 −

p

(

m

m

)); use

m

= 2

1415

, and

p

= 4

37

13

43105

710)

4 ÷

x

2 ×

z

y

; use

x

= 5

58

,

y

= 9

710

, and

z

= 7

710

19712196425

711)

6 ×

(

p

+

q

)2 ÷

p

; use

p

= 9

512

, and

q

= 5

713

142

1934138194

712)

(14 −

x

)2 −

x

y

; use

x

= 6

34

, and

y

= 7

711

38

31176

-14-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 35: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

713)

x

x

y

18

x

; use

x

= 8

811

, and

y

= 3

78

1348313824

714)

(

h

+

h

) ÷

j

+ 11

j

; use

h

= 4

58

, and

j

= 6

120

68

1912420

715) 19

b

(

c

(

c

b

)); use

b

= 3

1120

, and

c

= 8

1314

63

910

716)

y

+

x

(

x

2 −

x

); use

x

= 2

112

, and

y

= 1

1920

6

56338640

717)

h

2 ÷ (

20(

h

j

)); use

h

= 1

519

, and

j

= 1

29

1

631665

718) 12 −

(

m

(

p

p

)) +

n

; use

m

= 5

14

,

n

= 1

1114

, and

p

= 10

35

8

1528

719)

x

(

y

y

) +

x

x

; use

x

= 1

1819

, and

y

= 2

112

1

1819

720)

m

(

p

+

p

+

m

m

); use

m

= 2

38

, and

p

= 4

1113

23

152

721)

p

q

+

q

(8 −

p

); use

p

= 7

14

, and

q

= 8

211

7

893960

722)

y

2 ÷

x

+

x

− 1; use

x

= 10

720

, and

y

= 2

1718

10

62929335340

723)

(

k

+ 7 +

h

) ÷

jk

; use

h

= 2

112

,

j

= 5

1320

, and

k

= 3

15

36855424

724)

(

z

(

z

− 2)) ÷ (

x

+

x

); use

x

= 4

1116

, and

z

= 8

512

1675

725)

y

(

x

(

y

17

y

)); use

x

= 8

34

, and

y

= 6

34

30

12

726)

b

+

a

3 −

b

b

; use

a

= 1

34

, and

b

= 1

215

5

473960

727)

92 ÷ (

a

(

b

b

)); use

a

= 1

78

, and

b

= 7

14

43

15

728)

x

(

y

+ 1) + 6

y

; use

x

= 6

25

, and

y

= 8

12

111

45

729)

h

×

h

÷ (

j

+

h

3); use

h

= 8

1920

, and

j

= 10

23

192246017462017

730)

m

2(8 −

n

) + 10; use

m

= 8

1316

, and

n

= 7

1120

44

48495120

731)

m

÷ (

p

+ 2) ×

12

q

; use

m

= 6

1320

,

p

= 5

316

, and

q

= 3

12

3

99575

732) 18 −

(

x

x

) −

x

y

; use

x

= 9

112

, and

y

= 7

15

16

319432

733)

z

+

x

÷ (

z

+

y

y

); use

x

= 4

49

,

y

= 9

920

, and

z

= 5

56

6

2542

734)

(

p

+

p

) ÷ (

q

q

+

q

); use

p

= 5

316

, and

q

= 1

910

5

3576

735)

(

x

(

x

+

y

+

y

)) ÷

x

; use

x

= 11, and

y

= 7

713

26

113

736)

q

+

p

2 +

p

p

; use

p

= 3

25

, and

q

= 7

15

19

1925

737)

x

(

y

+

y

)(

x

x

); use

x

= 2

717

, and

y

= 5

119

2

717

738)

(

x

+

yx

+

x

) ÷

x

; use

x

= 2

1516

, and

y

= 10

518

12

518

739)

j

+ 17 +

h

1

j

; use

h

= 6

512

, and

j

= 3

320

26

157630

-15-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 36: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

740)

n

×

(

m

+ 19 +

m

) ÷

p

; use

m

= 7

59

,

n

= 3

35

, and

p

= 5

58

21

187225

741)

p

(

p

2 −

q

) ÷

p

; use

p

= 4

1017

, and

q

= 10

1013

2

176507

742)

20 ÷ (

10(

a

a

) +

b

); use

a

= 9

920

, and

b

= 1

12

13

13

743)

15

y

(

y

+

x

+

x

); use

x

= 3

15

, and

y

= 2

38

55

819

744)

5

p

+

(

q

p

)2; use

p

= 2

217

, and

q

= 10

23

75

464910404

745) 19 −

20 ÷ (

y

(

y

z

)); use

y

= 19

14

, and

z

= 2

16

18

29653157

746)

b

+ 4 +

a

+

b

13; use

a

= 5

913

, and

b

= 4

119

14

14247

747)

15(

x

(

x

y

x

)); use

x

= 9

16

, and

y

= 1

310

2

755

748) 15 +

hj

+ 2 +

h

; use

h

= 2

45

, and

j

= 16 64

35

749)

q

(

p

+

p

q

) ÷ 19; use

p

= 9

49

, and

q

= 4

17

3

4391197

750)

(

z

2 +

x

) ÷ 9

x

; use

x

= 8

19

, and

z

= 5

110

3070965700

751)

m

×

m

14(

p

+

m

); use

m

= 2

56

, and

p

= 3

27

3

1076921168

752) 3

q

(

8

r

+ 14); use

q

= 18

23

, and

r

= 1

1315

37

57

753)

y

1 ÷

(

xy

)2; use

x

= 8

79

, and

y

= 8

1117

−8

54358110254738897

754) 7 +

n

2 ÷ (

m

+

m

); use

m

= 7

12

, and

n

= 1

514

8

47210

755) 1 +

y

÷ (

x

y

2); use

x

= 4

413

, and

y

= 9

13

1

391568

756)

x

6+ 7

y

y

; use

x

= 1

1317

, and

y

= 5

56

35

517

757)

yx

+

122 −

y

; use

x

= 3

12

, and

y

= 5

715

157

23

758)

z

2 ÷ (

yz

y

); use

y

= 2

12

, and

z

= 9

18

4

1291300

759)

q

(14 −

p

2 ) +

p

; use

p

= 8

910

, and

q

= 3

120

38

11400

760)

c

3 −

(

a

b

19 ); use

a

= 1

16

,

b

= 10

12

, and

c

= 4

58

98

926929184

761)

(17 +

j

2) ÷

h

2; use

h

= 8

817

, and

j

= 4

1316

9904031769472

762)

q

(

q

− 9) +

q

+

m

; use

m

= 10

118

, and

q

= 9

16

28

29

763)

y

(

x

2 +

z

− 5); use

x

= 3

310

,

y

= 6

415

, and

z

= 8

16

88

1992250

764)

n

2 +

m

mn

; use

m

= 3

114

, and

n

= 10

23

113

251288

765) 12 +

m

(15 −

n

) ÷

m

; use

m

= 3

314

, and

n

= 4

613

11

76638190

766)

x

(

(5 −

z

)2 +

z

); use

x

= 9

12

, and

z

= 4

920

4

299400

767)

(

y

y

)3 +

x

y

; use

x

= 4

314

, and

y

= 1

113

3

179196

768)

x

÷

x

3 +

y

+ 8; use

x

= 7

710

, and

y

= 3

15

11

642929645

769)

(

y

+

y

+

x

) ÷ 3

y

; use

x

= 10

16

, and

y

= 9

1120

1

371719

-16-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 37: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

770)

q

÷ (

p

(15 −

(19 −

p

))); use

p

= 4

13

, and

q

= 14 3

12

771)

b

+ 4 +

b

+ 10 −

a

; use

a

= 6

118

, and

b

= 5

913

19

77234

772)

16(

h

(

j

+

h

) ÷

j

); use

h

= 6

910

, and

j

= 2

914

52

116185

773)

(

m

+ 12

m

) ÷ (

p

+

p

); use

m

= 17, and

p

= 1

716

76

2023

774)

p

(17 + 3)(

m

m

); use

m

= 6

511

, and

p

= 9

13

9

13

775)

y

y

÷ (

x

+

y

− 4); use

x

= 4

314

, and

y

= 3

518

2

13433960

776)

m

+

n

+ 2 −

(

n

n

); use

m

= 9

57

, and

n

= 3 14

57

777)

16

x

÷ (

x

(

x

y

)); use

x

= 18, and

y

= 1

35

4041

778)

xy

x

2y

; use

x

= 6

518

, and

y

= 7

19

18113

779)

y

(6

x

− 5

x

); use

x

= 8

17

, and

y

= 8

1114

71

5398

780)

x

x

+

(

y

+

x

)2; use

x

= 5

23

, and

y

= 7

1517

183

14982601

781)

p

+

p

q

(

p

p

); use

p

= 1

114

, and

q

= 9

716

2

17

782)

(18 −

x

)2 −

(

y

+

x

); use

x

= 9

17

, and

y

= 6

311

63

18539

783)

a

2 ÷ (

b

+

a

+

b

); use

a

= 5

811

, and

b

= 1

213

4

3474213

784)

(

j

+

hj

) ÷

h

2; use

h

= 2

13

, and

j

= 3

512

2

998

785)

n

2 + 140 +

m

; use

m

= 7

1419

, and

n

= 4

1117

169

18235491

786)

(9 −

y

) ÷ (

y

+

yx

); use

x

= 9

115

, and

y

= 3

910

2551963

787)

p

×

(

m

+

m

+

p

) ÷

m

; use

m

= 2

13

, and

p

= 10

120

63

10832800

788)

y

y

+

x

(

y

y

); use

x

= 4

111

, and

y

= 6

516

1

789) 20 −

m

+

m

(

m

+

n

); use

m

= 3

518

, and

n

= 1

914

15

563

790)

132 ÷ (4

p

q

); use

p

= 8

27

, and

q

= 1

114

5

121449

791)

(

a

+

a

+ 4) ÷

b

2; use

a

= 1

34

, and

b

= 4

511

18154802

792)

b

2 − 11 −

(

a

+ 20); use

a

= 3

611

, and

b

= 13 134

511

793) 9 +

x

+

y

(

x

+

x

); use

x

= 7

1315

, and

y

= 10

38

11

61120

794)

q

+

(16 − 13) ÷ (20 −

m

); use

m

= 4

715

, and

q

= 1

14

1

413932

795)

15(

x

+

y

(3 +

x

)); use

x

= 7

38

, and

y

= 3

37

6

37

796)

n

+

m

+

nm

n

; use

m

= 9

112

, and

n

= 6

215

24

310

-17-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 38: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

797)

(

h

+ 17)(2 +

j

) − 5; use

h

= 8

215

, and

j

= 1

310

77

4750

798)

11

zx

÷

y

2; use

x

= 8

78

,

y

= 10

611

, and

z

= 4

718

3

16525871937664

799) 1 +

p

6 ÷ (

q

+ 4); use

p

= 4

419

, and

q

= 3

512

4

6791691

800)

p

(

m

+

q

12

q

); use

m

= 4

34

,

p

= 19

12

, and

q

= 9

720

6

639935

801)

(

p

+ 9 −

p

q

) ÷

q

; use

p

=

56

, and

q

=

717

1467

802)

(

4(6 −

y

) −

y

) ÷

x

; use

x

=

1017

, and

y

=

95

512

803)

a

+

c

(

c

2 + 8); use

a

= 12, and

c

=

109

31481

804)

y

+

y

+

y

2 −

x

; use

x

= 1, and

y

=

3518

2161324

805)

y

(

y

2 +

x

2); use

x

= 2, and

y

=

1318

190455832

806)

m

(

m

+

p

) ÷ 18

p

; use

m

=

1714

, and

p

=

25

499504

807)

11 ÷ (

m

+

m

(

n

m

)); use

m

=

2317

, and

n

=

1511

2057504

808)

17 ×

11 ÷ (

b

(

a

b

)); use

a

=

32

, and

b

=

32

3743

809)

x

+

(34 −

y

) ÷

x

; use

x

=

53

, and

y

=

95

157475

810)

x

(15 + 13 −

y

x

); use

x

=

57

, and

y

=

139

1679

811)

zx

(

z

yx

); use

x

= 9,

y

=

58

, and

z

= 6

814

812)

ba

(

a

2 −

a

); use

a

= 2, and

b

=

12

2

813)

p

+ 10 − 2 +

q

q

; use

p

=

1318

, and

q

=

32

15718

814)

(6 + 6 +

b

) ÷ (

c

+

b

); use

b

=

32

, and

c

=

19

24329

815)

y

y

+

y

x

16; use

x

=

1211

, and

y

=

613

225572

816)

y

(

x

z

yx

); use

x

=

49

,

y

=

1013

, and

z

=

1517

82135

817)

7(

j

+

h

+

j

j

); use

h

=

2714

, and

j

=

2917

86534

818)

p

+

m

(

p

p

m

); use

m

= 1, and

p

=

3719

5619

819) 17 +

(

y

y

) ÷

x

2; use

x

= 2, and

y

=

3120

17

820)

p

m

p

(

q

+

m

); use

m

=

314

,

p

=

2619

, and

q

=

116

5072548412

821) 17 −

(

9

q

+

r

+

r

); use

q

=

1514

, and

r

=

75

295

822)

(8 +

m

(

n

n

)) ÷

m

; use

m

=

25

, and

n

=

53

21

823)

x

19+

y

2−

x

; use

x

=

47

, and

y

= 10

593133

824)

x

÷ (

y

+

x

+

x

y

); use

x

=

74

, and

y

=

98

12

825)

(10 −

b

) ÷ (

b

+ 2 −

a

); use

a

=

45

, and

b

=

910

133

826)

p

11+ 11 −

m

3; use

m

=

3619

, and

p

=

37

2237638528143

827)

y

− 1 +

x

÷

x

2; use

x

=

111

, and

y

= 4 14

828)

m

m

+

11

p

2; use

m

= 1, and

p

=

32

1034

829)

m

2

(

n

2)2; use

m

= 2, and

n

=

118

146411024

-18-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 39: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

830)

q

p

p

(

q

q

); use

p

=

12

, and

q

=

109

209

831)

j

+

j

+ 13 + 20

h

; use

h

=

29

, and

j

=

32

1849

832)

z

(11 −

(10 +

x

− 1)); use

x

=

53

, and

z

= 16

163

833)

102 ÷

h

+

k

k

; use

h

=

76

, and

k

=

2720

6077

834)

x

3(

y

+ 15 −

y

); use

x

=

1915

, and

y

=

23

6859225

835) 5 +

h

+

j

3 +

j

; use

h

=

12

, and

j

=

2316

405834096

836) 16 +

92 −

(

j

+

h

); use

h

=

611

, and

j

= 3

102811

837)

x

(

x

y

y

y

); use

x

=

2919

, and

y

=

715

75

838)

(

z

y

)2 ÷

132; use

y

=

1110

, and

z

= 13

1416116900

839)

(

m

+

p

) ÷

m

2 +

m

; use

m

=

3419

, and

p

= 1

5843721964

840)

(

n

+

p

) ÷ (10 −

n

2); use

n

= 2, and

p

=

32

712

841)

p

÷ (

q

+

p

(

p

p

)); use

p

= 7, and

q

=

2920

14029

842)

(

y

y

+

yx

) ÷

y

; use

x

= 7, and

y

= 2 7843) 10 −

(

j

j

) −

h

2; use

h

= 2, and

j

=

911

6

844)

a

b

+ 99 −

b

; use

a

=

158

, and

b

=

13

250324

845)

y

÷ (

y

+

y

) +

y

x

; use

x

= 1, and

y

=

35

1110

846)

z

2 −

x

÷ (

z

+

x

); use

x

=

54

, and

z

=

3317

21174862713

847)

(16 −

a

b

) ÷ (

b

+ 2); use

a

=

119

, and

b

= 2

26576

848)

132 ÷

m

− 3

p

; use

m

= 1, and

p

=

511

184411

849)

m

+

m

n

(

m

+ 11); use

m

=

58

, and

n

=

118

14

850)

h

(

j

h

h

) +

h

; use

h

=

25

, and

j

=

1811

516275

851)

7 ×

q

p

+

q

2; use

p

=

38

, and

q

=

13

193

852)

16

y

2 −

(

y

x

); use

x

= 1, and

y

=

85

100925

853)

(

y

x

2) ÷

x

3; use

x

=

12

, and

y

=

3118

1069

854)

a

(

c

c

) +

b

2; use

a

=

23

,

b

=

43

, and

c

= 2

229

855)

y

(

x

+

x

) −

x

y

; use

x

=

65

, and

y

= 20

239750

856)

x

+

x

x

x

y

; use

x

=

65

, and

y

=

3019

3625

857)

n

2(20 −

(

m

+

n

)); use

m

=

1320

, and

n

=

110

77400

858)

(

h

+

h

)2 ÷

j

2; use

h

=

1117

, and

j

=

32

19362601

859)

(13 − 2

z

) ÷ (

z

+

y

); use

y

= 1, and

z

=

27

293

860)

y

÷ (7 +

y

)(

x

+

y

); use

x

=

74

, and

y

= 1

1132

861)

20

x

+ 1 +

y

+

y

; use

x

=

2313

, and

y

=

1613

4415299

862)

(

17(19 −

q

)) ÷ (11 +

r

); use

q

=

1920

, and

r

=

43

18411740

863)

q

(

p

(

p

p

) − 1); use

p

=

2013

, and

q

=

43

3139

864)

(5 −

p

) ÷ (

p

p

+

q

); use

p

=

79

, and

q

= 13

38117

865) 204 −

(

ba

+

a

); use

a

= 19, and

b

=

417

306917

866) 10 −

y

(

y

+

x

) −

y

; use

x

=

32

, and

y

= 1

112

867)

p

(

m

p

m

) +

m

; use

m

=

317

, and

p

=

78

977952

868)

y

3 −

x

x

; use

x

=

139

, and

y

= 2 7

-19-

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Page 40: Order of operations - positive algebraic expressions · Order of operations - positive algebraic expressions Evaluate each using the values given. 1) q −(p −(p −p)); use p =6,

869)

(

n

+

m

) ÷ (

m

n

2); use

m

=

2413

, and

n

=

1115

75453827

870)

(

y

+

x

)2 ÷ (

y

+

y

); use

x

= 16, and

y

= 1

2892 871)

p

÷ (6 −

q

) −

q

9; use

p

=

2213

, and

q

=

65

57260

872)

y

+

x

+

x

+ 12 +

x

; use

x

=

1110

, and

y

=

12

795

873) 18 −

(

j

h

÷ (16 +

j

)); use

h

=

119

, and

j

=

74

417112556

874)

a

+ 3 +

b

+

b

+

b

; use

a

=

1617

, and

b

=

29

23551

875)

x

+

y

+

92 −

y

; use

x

=

56

, and

y

=

138

4916

876)

x

+

12(15 −

y

+

x

); use

x

=

2417

, and

y

=

127

21156119

877)

(

j

+

h

) ÷

j

(

j

+ 3); use

h

= 2, and

j

=

13

113

878)

m

(11 − 9)2 −

n

; use

m

= 14, and

n

= 1 9 879)

y

+

y

+

x

+

x

y

; use

x

=

1513

, and

y

=

1916

727208

880)

82 +

m

2 −

p

; use

m

=

75

, and

p

=

23

489775

881)

18

y

(

z

+

z

) −

y

; use

y

=

1316

, and

z

=

19

3916

882)

(

m

2(

n

+

n

)) ÷

m

; use

m

= 2, and

n

=

317

1217

883)

y

+ 9 −

(

x

y

z

); use

x

=

3017

,

y

=

1211

, and

z

=

27

229312618

884)

r

(

p

r

+

p

p

); use

p

=

137

, and

r

=

65

1935

885)

c

×

3

c

÷ (

b

+

a

); use

a

=

1710

,

b

=

74

, and

c

=

12

523

886)

h

+

8(

j

j

) +

h

; use

h

=

87

, and

j

=

1217

167

887)

x

÷ (

8

y

z

2); use

x

= 2,

y

=

811

, and

z

=

2213

1691408

888)

m

+

14 ÷

m

2 −

n

; use

m

=

32

, and

n

=

34

25136

889)

2(

p

q

÷ (

p

+

p

)); use

p

= 1, and

q

=

53

13

890)

(

y

+

x

+

x

) ÷ (

y

+

y

); use

x

=

914

, and

y

=

13

177

891)

q

÷ (

p

2(13 +

q

)); use

p

=

37

, and

q

= 3

4948

892) 11 −

(

x

y

) − 5 +

y

; use

x

=

32

, and

y

=

32

152

893)

j

(18 −

j

h

j

); use

h

= 1, and

j

=

919

2916361

894)

13(

y

+

x

+ 1 −

x

); use

x

=

1611

, and

y

=

43

913

895)

m

+

m

+

q

+

p

q

; use

m

=

1915

,

p

=

3619

, and

q

=

74

1262285

896) 9

x

+ 11 −

yx

; use

x

= 2, and

y

= 2 25897)

10

p

2 (

p

n

); use

n

=

137

, and

p

= 5

4435

898)

m

÷ (

m

(

m

+

m

) +

n

); use

m

=

310

, and

n

=

87

105463

899)

9 ÷ (

x

(

y

+ 5 +

y

)); use

x

=

13

, and

y

=

3920

27089

900)

(

a

2 −

b

) ÷ (

a

+

a

); use

a

=

53

, and

b

=

43

1330

-20-

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