weekly workout solve: simplify solve: simplify #1 #2 #3 #4 #5 #6 #7 solve #8
TRANSCRIPT
Weekly Workout
1 1 4
1 15 7 7
25 x 17
3
Solve:
Simplify
32x
Solve:
12 x 12
Simplify#1 #2
#3 #4
323 16 8 11
#5 Simplify 2
2 5 8
15
#6 Simplify
0.01y 9.06 3.85#7 Solve
3
7 x 14
#8 Solve
Weekly Workout
#13(2x)
2x 2x 2x 2 2 2 x x x
38x
Simplify
Weekly Workout
#2
13
5
1 1 4
1 15 7 7
8 4
71
715
1 8 715 7 4
1
1 25
1 1 4
1 15 7 7
Simplify
Weekly Workout
#3
12 x 12
x 24
x 24
Solve
Weekly Workout
#42
5 x 173
x 18
2
x 123
32
32
Solve
Weekly Workout
#5
323 16 8 11
9 16
32
25
2 383 6 111
5
323 16 8 11
3
3 27
Simplify
Weekly Workout
#6
2
2 5 8
15
2
2 5 8
15
2
2 3
15
2
159
1815
65
Simplify
2
2 3
15
Weekly Workout
#7
0.01y 9.06 3.85Solve
9.06 9.06
0.01y 5.21
y 521
Weekly Workout
#8
3
7 x 14
Solve
31
x 14
431
431
4
x31
Weekly Workout
Solve:
Simplify#1 #2
#3 #4
#5 #6
#7 #8
Solve:
Solve
Simplify Simplify
12
33
3
4 2
1
2
2 1 3x x 2
3 2 4
7 5(x 1) 2(x 4)
3n 5 62n 5
Find the rectangle’s area:
6 cm10 cmThree square feet is how many square inches?
2(Hint: its not 36 in )
2
5x
7
46
1
3+ 4
⎛
⎝⎜
⎞
⎠⎟ ⋅3
2 −2 ⋅7
Weekly Workout
#1 Simplify
5
3
15
4
5
2
12
12
12
35
12
12
33
3
4 2
1
2
20 45 30
Weekly Workout
#2 Solve2 1 3
x x 23 2 4
2 1 3
x x 23 2 4
12
8x 6 9x 24
18 x 6 x 24
Weekly Workout
#3 Solve
7 5(x 1) 2(x 4)
7 5x 5 2x 8 12 5x 2x 8
4 7x
4x
7
Weekly Workout
#4 Solve
8x 35 120
85
x8
2
5x
7
46
2 7x 62
40
5
8x 85
Weekly Workout
#5 Simplify
3n−5
2n=6
5
5 3n−5( ) =12n
15n−25 =12n
−25 =−3n
25
3=n
Weekly Workout
#6 Simplify
1
3+ 4
⎛
⎝⎜
⎞
⎠⎟ ⋅3
2 −2 ⋅7
13
3
⎛
⎝⎜
⎞
⎠⎟ ⋅9 −14
39 14
25
Weekly Workout
#7 One foot = 12 inches
144 square inches
One f
oot
= 1
2 in
ches
Three square feet is how many square inches?
2(Hint: its not 36 in )
432 in2
Three square feet
equals 144•3
Weekly Workout
#8
2Rectangle's area 48 cm
Find the rectangle’s area:
6 cm10
cm
x cm
Pythagorean Theorem
x2 62 102
x2 36100
x2 64
x 8
2 2 2a b c
24 x 18 12
2 x 5 18
3x 2 15x 2
3 2
x x 1 x4 5
5x 26
22 1 3
x x 23 2 4
22 2x 8 6
#1
#3
#5
#7
#2
#4
#6
#8
Weekly WorkoutSolve each equation
12 x 1 4x 6
2
#1
Weekly Workout
x 95
x 95 x 95 x 14 x 4
14, 4
2 x 5 18
#2
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5x 2 12
x 2
5x 26
2
5x 10
#3
Weekly Workout
2 1 3x x 2
3 2 4
2 1 3x x 2
3 2 412
8x 6 9x 24
18 x
#4
Weekly Workout
3x 2 15x 2
2 3x 2 5x
6x 4 5x
x 4
#5
Weekly Workout
3 2
x x 1 x4 5
3 2x x 1 x
4 520
15x 20x 20 8x
5x 20 8x
20
x3
3x 20
#6
Weekly Workout
24 x 18 12
24 3x 0
24 0x 3 24 3x 0 x 54
x 54 x 6
x 6
54, 6
#7
Weekly Workout
12 x 1 4x 6
2
2x 2 2x 3
2 3
#8
Weekly Workout
22 2x 8 6
22 2x 8 6
30 2x 6
2x 24
x 12
T.G.I.F.T.G.I.F.T.G.I.F.
2 x 5 32
Solve and graph:
SolveSolve
Solve and graph
5x 7 x 4x 15
Solve and graph
8 2x6
3
5 x 1 2 2x 14 or x 7 5
#1#1 #2#2
#3#3 #4#4
#5#5 #6#6
#7#7 #8#8 What is the smallest integer solution of the inequality?3x 11 16
1 2 1x x
2 3 3
Solve and graph
List ALL integer solutions of the inequality?
2 3x 1 11
T.G.I.F.T.G.I.F.T.G.I.F.
Solve
#1#1 5x (7 x) 4x 15
5x −7 x 4x 15
6x 7 4x 15
2x 22
x 11
T.G.I.F.T.G.I.F.T.G.I.F.
Solve#2#2
x 5 16
x 5 16 16 x 5x 21 11 x
ox 11 xr 21
2 x 5 32
6 x1 5 16
0-11
21
T.G.I.F.T.G.I.F.T.G.I.F.
#3#3
0
1 2 1x x
2 3 3
3x 4 2x
x 4 0
x 4
4
T.G.I.F.T.G.I.F.T.G.I.F.
Solve#4#4 8 2x6
3
8 2x 18
2x 10
x 5 0
5
T.G.I.F.T.G.I.F.T.G.I.F.
#5#5
0
5 x 1 2
5 x 1 x 1 2
6 1
6 x 1
6 x x 1and
T.G.I.F.T.G.I.F.T.G.I.F.
#6#62x 14 or x 7 5
Solve and graph:
2x 14 x 7 5
0-7 2
orx 7 x 2
x 7 or x 2
T.G.I.F.T.G.I.F.T.G.I.F.
#7#7
0
2 3x 1 3x 1 11
3 3x 3x 12
1 4
2 3x 1 11
and1 x x 4
List ALL integer solutions of the inequality?
2,3,4
T.G.I.F.T.G.I.F.T.G.I.F.
#8#8
16 3x 11 3x 11 16 27 3x 3x 59 x 5
x3
and
0 53
9
What is the smallest integer solution of the inequality?
3x 11 16
x =−8
T.G.I.F.T.G.I.F.T.G.I.F.
4x 8 32
Find the Range of the function:y 2x 1
Domain: 2,0,2
Solve 2x 3 15
2y 2x 5x 1
Solve f or y if x 3
SolveSolve
#1#1 #2#2
#3#3#4#4
#5#5 #6#6
#8#8
y 5y 1 12 6 3 2
Which point is on the line:
1y x 5
2
A. 12,6 B. 18,24 C. 16,3
#7#7
Find the Domain of the rectangle on the right:
Simplify 322x
T.G.I.F.T.G.I.F.T.G.I.F.
#1#12y 2x 5x 1
232 5 13y
y 18 15 1
y 4
Solve f or y if x 3
T.G.I.F.T.G.I.F.T.G.I.F.
#2#2
y
y
y
2 12 5
1
3
5, 1,3
Find the Range of the function:y 2x 1
Domain: 2,0,2
2 0 1
2 2 1
T.G.I.F.T.G.I.F.T.G.I.F.
#3#3
322x
2 2 22x 2x 2x
2 2 22 2 2 x x x
68x
2 2 2 x x x x x x
T.G.I.F.T.G.I.F.T.G.I.F.
#4#4 Solve
2x 3 15
2x 3 15 2x 3 15 2x 12x 6
2x 18x 9 6,9
T.G.I.F.T.G.I.F.T.G.I.F.
#5#5 Solve
4x 8 32
4x 8 32 32 4x 8 24 4x
6 x 4x 40x 10
OR x 6 x 10
T.G.I.F.T.G.I.F.T.G.I.F.
#6#6 Solve
3y 5y 2 3
2y 2 3
1y
2
y 5y 1 12 6 3 2
2y 1
T.G.I.F.T.G.I.F.T.G.I.F.
Which point is on the graph of:
1y x 5
2
A. 12,6 B. 18,24 C. 16,3
#7#7
1y 5
212
1y 5
218
1y 5
216
y 1
y 4
y 3
T.G.I.F.T.G.I.F.T.G.I.F.
#8#8
3,2
5, 1
Find the Domain: D: 3 x 5
T.G.I.F.T.G.I.F.T.G.I.F.
#1#1 #2#2
#3#3 #4#4
#5#5 #6#6
#7#7 #8#8
2x 9 7Solve
Find the largest integer solution
Solve:Solve
45 2x 61
213 x 21
3
Simplify 3
33x 3x
5 2x2
Solve
Simplify 5 2 98 5 10
7 2 x 3 15 x
8 3x 29 Find the smallest integer solution
T.G.I.F.T.G.I.F.T.G.I.F.
Solve#1#1 5 2 98 5 10
5 2 108 5 9
5 48 9
45 3272 72
7772
T.G.I.F.T.G.I.F.T.G.I.F.
Solve #2#2 2x 9 7
2x 9 7 2x 9 7
2x 16 2x 2
8,1x 8 x 1
T.G.I.F.T.G.I.F.T.G.I.F.
Solve#3#3 7 2 x 3 15 x
7 2x 6 15 x
2x 1 15 x
3x 14
14
x3
T.G.I.F.T.G.I.F.T.G.I.F.
Solve#4#4
39 2x 63
24 2x
12 x
213 x 21
3
T.G.I.F.T.G.I.F.T.G.I.F.
Solve#5#5
10 x
3x
5 2x2
3x 10 4x
T.G.I.F.T.G.I.F.T.G.I.F.
#6#6
3 3 33x 3x 3x
3 3 33 3 3 x x x
927x
3
33x
T.G.I.F.T.G.I.F.T.G.I.F.
#7#7
45 2x 61
0
2x 16
x 8
8
7
Find the largest integer solution
T.G.I.F.T.G.I.F.T.G.I.F.
#8#8 Smallest integer solution
0
3x 21
x 7
-7
6
8 3x 29
#1 #2
#3 #4
#5 #6
#7 #8
#9 #10
a
bc
d
2 3
x 12 4 x 13 5
Solve
x 2
1
2+ 5
3
4−3
2
3÷1
5
6
Simplify
Find the x and y intercepts of the linear equation.
x int :
y int : , ,
2 1 4x y
9 6 3
Solve 9 3 x 7 2x 3
3x 25 x 124 2
Solve
x
Find the domain and range of the function.
D : { }
R : { }
Find the smallest integer solution. 3 x 2 45
x
Solve for W.
P 2 L W
WFind the value of k if the point (-9, 4) is on the graph of the function.
4
g x x k3 k
3
y x 122
Solve for the unknowns in the table for the given function.
Name___________Weekly Workout
3
y x 122
Solve for the unknowns in the table for the given function.a 9
b=−
25
3 c −11
d 2
2 3
x 12 4 x 13 5
Solve
x =45
Simplify
Find the x and y intercepts of the linear equation.
x int :
y int :
2 1 4
x y9 6 3 6,0
0, 8
25
4=6
1
4
2
1
2+ 5
3
4−3
2
3÷1
5
6
Solve 9 3 x 7 2x 3
x 3
#1 #2
#3 #4
#5 #6
#7 #8
#9 #10
3x 25 x 124 2
Solve
x =1
Find the domain and range of the function.
D: 6 x 6
R : 0 y 6
Find the smallest integer solution.
3 x 2 45
x 12
Solve for W. P 2 L W
W
P 2L2
WP
L2
or
Find the value of k if the point (-9, 4) is on the graph of the function.
4
g x x k3
k 16
#1
#3
#7
#2
#4
#6
#8
Weekly Workout
Find the largest prime number solution.2
x 12 183
Simplify
and
y 2x k
The point (-6,17) and (4,h) are on the graph of the function below. Solve for h.
2y 2x 5x 1 Solve y if x 3
12 x 1 5 x 1 6
2
f x x 8 2g x 3x
find g f 3
The four digit whole number below is divisible by 9. Solve for A
3AA1#5 The points (5,-6) and (-2,h) are on
the graph of a horizontal line. Solve for h.
Solve1 1 33 4 2
3 6 4
#1
Weekly Workout
and f x x 8 2g x 3x
find g f 3
f 3 83
5
2g 5 53
3 25
75
75
f 3
#2
Weekly Workout
y−2x k
The point (-6,17) and (4,h) are on the graph of the function below. Solve for h.
27 k1 6
17 12 k
5 k
y 2x 5
h 42 5
h 8 5
h 3
m−2
my2−y
1
x2−x
1
−2 =
h−17
4 −−6 −2 =
h−17
10
−20 h−17
#3
Weekly Workout
218 x 12
3
9 x
2x 2 81 1
38 1
2x 12 18
3
26 x
3
2x 12 18
3
2x 30
3
x 45
x 43Find the largest prime number solution.
#4
Weekly Workout
The four digit whole number below is divisible by 9. Solve for A
3AA1 A A3 1 9
3 2A 1 9
2A 4 92A 5
A52
#4
Weekly Workout
The four digit whole number below is divisible by 9. Solve for A
3AA11 1A 8A3
2 18A3 1 2A 4 18
2A 14A 7
#5
Weekly Workout
The points (5,-6) and (-2,h) are on the graph of a horizontal line. Solve for h.
h 6
REMEMBER: On a horizontal line, the y-value remains the same!
#6
Weekly Workout
232 5 13y
y 18 15 1
y 34
Solve y if x 3
2y 2x 5x 1
#7
Weekly Workout
Simplify1 1 3
3 4 23 6 4
10 25 113 6 4
24
80 100 66
4624
2312
11
or 112
#8
Weekly Workout
12 x 1 5 x 1 6
2
Solve
2x 1 1 5x 5 6
2x 2 5x 11
2 3x 11
9 3x
3 x
Find the slope of the line through:
1 3x 3x
2 5 Find the slope of the
line: 3x 5y 30
6,15 and 12,9
Solve 3 2 x 18
Write the equation of the line passing through:
9,14 and 3,6 2
y x 125
What is the largest integer solution of the inequality?
3x 11 16
Find the point on the line of the graph below where the line crosses the x-axis.
2x 7 x 46 2
Solve:
Solve:
#1
#3
#5
#7
#2
#4
#6
#8
Weekly Workout
#1 Find the slope of the line:
3x 5y 30
35
5y 3x 30 3
y x 65
Weekly Workout
#2 1 3x 3x
2 5
Solve:
5x 30x 6
35x 66
x35
Weekly Workout
#3
2x 7 x 46 2
Solve:
2 2x 7 6 x 4
4x 14 6x 24
38 2x
19 x
Weekly Workout
#4 Find the slope of the line through:
6,15 and 12,9
15 9
6 12
15 96 12
618
13
Weekly Workout
#5 Solve 3 2 x 18
6 3x 18 3x 12
x 4
Weekly Workout
#6
16 3x 11 3x 11 16 27 3x 3x 59 x 5
x3
and
0 53
9
What is the largest integer solution of the inequality?
3x 11 16
1
Weekly Workout
#7
2
y x 125
Find the point on the line of the graph below where the line crosses the x-axis.
2
x 125
0
?,0 0 2x 60
60 2x
30 x 30,0
Weekly Workout
Write the equation of the line passing through:
9,14 and 3,6
#8
m23
1 1my xy x
2y 6
3x 3
2y 6 x 2
3 2
y x 83
Weekly Workout
Weekly Workout
#1 #2
#3 #4
#7 #81x 5y 30
21
x 7y 62
3x 1 y
23x y 10
2x 4y 4
3x 5y 3
q d 15
0.25q 0.10d 23.002b 3m 12.45
3b 5m 20.00
Find the slope of a line perpendicular to: 1
x 3y 42
#5#6 Find the x-intercept for the line:
2y 3x
3 12 3 x 5 6
Solve
Solve Solve
Solve
Solve Solve
Solve:#1
2b 3m 12.45
3b 5m 20.00
6b 9m 37.35
6b 10m 40.00 m 2.65
m 2.65b 2.25
2b 3m 12.45
3b 5m 20.0
3
2 0
Weekly Workout
Solve#2
q d 15
0.25q 0.10d 23.00 q d 15
0.25q 0.10d 23.10 00 0
25q 10d 2300
10q 10d 150
35q 2450q 70d 55
“Clear” the decimal
q d 15
0.25q 0.10d
10
310 .000 2
Weekly Workout
1x 3y 4
2
Find the slope of the line perpendicular to:#2
16
6
x 6y 8
6y x 8
1 8y x
6 6
Weekly Workout
Solve#4
2x 4y 4
3x 5y 3
2x 4y 4
6x 10y 6
6x 12y 12 2x 4y 4
3x 5y
3
2 3
2y 6y 3
E1
32x 4 4
(4, 3)2x 12 4
2x 8x 4
Weekly Workout
#5
12 3 x 5 6 Solve
3 x 5 6
x 5 2
Weekly Workout
#6 Find the x-intercept for the line: 2
y 3x3
02
3x3
0 9x 2
2 9x
2x
9
2or ,0
9
Weekly Workout
Solve#71
x 5y 3021
x 7y 62
1x 5y 30
2
1x 7y 6
2
1x 5y 30
21
x 7y 62
1
12y 24
y 2 1x 5 30
22
E1
1x 10 30
2
x 20 60
60, 2
Weekly Workout
Solve#8
3x 1 y
23x y 10
2x 2 3y
y 3x 10
E2 E1
2x 2 3 3x 10 2x 2 9x 30
28 7x 4 x
E2
y 3 104 y 12 10 y 2
( 4, 2)
Write the equation of the line through the point (-4, -3) and is perpendicular to the line:
Convert the equation below to slope-intercept form.
6x 3y 18
What is the largest integer solution of the inequality?
3x x 1 65 4 2 5
4x 8 32
2y x
3x 6y 30
Solve.
Solve
2
x 6 123
2x 4y 12
Solve
3 2 3x 1 5 6x
Write the equation of the line passing through: 8, 7 and 4, 1
Weekly Workout
#1 #2
#3#4
#5 #6
#7 #8
Solve
Convert the equation below to slope-intercept form.
6x 3y 18 y mx b
3y 6x 18
3 33 6 18
y x3
y 2x 6
#1
Weekly Workout
; 4, 3
4y 2x 12
y24
x 3
Write the equation of the line Perpendicular to the line given and passing through the point given.
2x 4y 12
slope12
#2
12
2
Weekly Workout
4, 3
Write the equation of the line Perpendicular to the line given and passing through the point given.
12
2
1 1my xy x
y 3 2 x 4
y 3 2x 8
y 2x 5
Weekly Workout
#2
#3
4x 8 32
4x 8 32 32 4x 8 24 4x
6 x 4x 40
x 10
6 x 10
0 10 6
9
What is the largest integer solution of the inequality?
#4 Solve
3 2 3x 1 5 6x
3 6x 2 5 6x
6x 5 5 6x 0 0
all real numbers
Weekly Workout
#5
3x x 1 65 4 2
05
2
12x 5x 10 24 7x 10 24
3x x 1 65 4 2 5
7x 14
x 2
Solve
Weekly Workout
#6
2
x 6 123
2
x 6 123
2
x 6 123
9,27
2x 18 36
2x 18
x 9
2x 18 36
2x 54x 27
Solve
Weekly Workout
#7 Write the equation of the line passing through:
7 1
8 4
612
m12
8, 7 and 4, 1 1x1 4y
2 1 1my xy x 1 1
1y xy
2x
1y 1 x 2
2
1y x 3
2
Weekly Workout
Solve#8 2y x
3x 6y 30
6,4
E1 E2
x 6 02
x3
3
x 4x 30 5x 30x 6
E1
y 623
y 4
Weekly Workout
32 32 3x y
Solve
Simplify
Solve:
2x 5y 30Find the x-intercept of the line:
Write the equation of the line passing through: 8, 7 and 4, 1
5x 3y 15
Write the equation of the line through (4,-7) and perpendicular to the line:
#1 #2
#3#4
#5#6
#7
#8
Find the Range of the function:
2f x 3x 2x 7
Domain: 3,4
Weekly Workout
y 5y 1 12 6 3 2
3x 4y 25
2x 3y 6
8 5 2 415 24 9 3
32 32 3x ySimplify#1#1
3 3 32 33 x y 2
6 954x y
Weekly Workout
#2#2
8 5 2 415 24 9 3
19
16
5 18
38 5 25 41 24 9
Weekly Workout
#3#3 Solve 6x 8y 50
6x 9y 18
17y 68
y 4
3, 4
3x 4y 25 2x 3y 6
3x 16 25
E1
3x 9x 3
Weekly Workout
#4#4
2x 5y 30
5y 2x 30
2
y x 65
Write the equation of the line through (4,-7) and perpendicular to the line:
m
m
25
−5
2
Weekly Workout
#4#4 Write the equation of the line through (4,-7) and perpendicular to the line:
m −5
2
y bmx y x b52
y−y
1m x −x
1
5y x 3
2
Weekly Workout
y 7 −
5
2x −4
y 7 −
5
2x 10
5x 3y 15 #5#5 Find the x-intercept of the line:
5x 3 10 5
5x 15
3,0x 3
Weekly Workout
#6#6
Weekly Workout
3y 5y 2 3
2y 2 3
1
y2
y 5y 1 12 6 3 2
2y 1
Solve
#7#7 Find the Range of the function:
2y 3x 2x 7 Domain: 3,4
2
y 3 23 3 7
27y 6 7
y 33 7
y 26
Range : 26,33
Weekly Workout
#8#8
612
=1
2
8, 7 and 4, 1
Weekly Workout
8 4
m7 1
y bmx y b12
x Write the equation of the line passing through:
1y x 3
2
y−y
1=m(x −x
1)
y + 1 =
1
2(x −4)
y + 1 =
1
2x −2
Multiply 2 2
5x 1 2x 3
Find the equation of the line through the points:
Simplify28 4
2 6
2x y8x y
6, 8 and 9,2
Solve
#2#1
#4#3
#6#5
#8
Solve 2x 3 15
#7
Weekly Workout
3x 2
2
2x 5
3
10x 2
6
Find : f 12 2f x 16 x
3
2x 4y 4
3x 5y 3
Solve
#1 2 2
5x 1 2x 3
2 225x 10x 1 4x 12x 9
2 225x 10x 1 4x 12x 9
221x 2x 8
Weekly Workout
#2 Simplify248
2 6
y2 x8 x y
26
2
x4y
12
4
x16y
28 4
2 6
2x y8x y
Weekly Workout
#3 Solve
Weekly Workout
3x 2
2
2x 5
3
10x 2
6
3x 2 2x 5 10x 22 3 6
6
3 3x 2 2 2x 5 10x 2
9x 6 4x 10 10x 2
13x 16 10x 2
3x 18
x 6
#4 Solve
2x 3 15
2x 3 15 2x 3 15 2x 12x 6
2x 18x 9
6,9
Weekly Workout
1 1my xy x
#5 Find the equation of the line through the points:
8 2m
6 9
1015
23
2x2 9y
3
2y x 4
3
6, 8 and 9,2
2x2 6y
3
Weekly Workout
Point-slope form
#6 Solve the system
Weekly Workout
2x 4y 4
3x 5y 3
3
2 6x 12y 12
6x 10y 6
2y 6
y 3
x 4 4, 3
#7
Weekly Workout
218
3k12
63
k2
k 9
Weekly Workout
if :fi nd : f 12 2
f x 16 x3
2f 16
312 12
16 8
116 223
24 f 12
#8
Multiply
Find the equation of the line through the points:
Solve x 12 23x 5
Multiply 32 23x 2x
#2#1
#4#3
#6#5
#8#7 233x 5
x 3x2 3 x
4 8
Find the smallest integer solution to:
Solve
5 5 7
16 24 8
6,13 and 12, 11
Simplify5x 3y 12
4x 5y 17
Weekly Workout
ABD 3x 1 CBD x 17
#1 Solve
5 x 12 6x
5x 60 6x
60 x
x 12 23x 5
Weekly Workout
#2
x 3
Find the smallest integer solution to the inequality:
x 3x2 3 x
4 8
x 3x2 3 x
48
8 2x 3x 16 24 8x
5x 16 24 8x 3x 16 24
3x 8
8
x3
2
x 23
Weekly Workout
Solve the system
5x 3y 12 4x 5y 17 5x 3 15 y 2 4x 5 13 y 7
25x 15y 60 12x 15y 51
37x 111
x 315 3y 12
E1
3, 13y 3
#3
Weekly Workout
#4
5 5 7
16 24 8
5 5 156 24 8
815
5 56 24
5 16 9
15 218 18
1718
5 5 71
6 24 8
Weekly Workout
#5 Find the equation of the line through the points:
13 116
m12
2418
43
4
1y3
x1 12
4
y x 53
4
1y3
x1 16
6,13 and 12, 11
Slope: Point-Slope Equation: 1 1my xy x m
yx
Weekly Workout
#6 Multiply
32 23x 2x
2 2 2 23x 2x 2x 2x
824x
Weekly Workout
#7
33x
33x 5
5
69x
25
315x
315x
6 39x 30x 25 233x 5
Weekly Workout
#8#8
3x 1 x 17 180 4x 16 180
4x 164
m ABD 122
Find m ABD
x 41
Weekly Workout
ABD 3x 1
CBD x 17
Find the largest integer solution to:
Solve:
SimplifyFind the equation of the line through the points:
3x 17 28
Solve
y 3x 4
x 2y 6
Solve
2x 3y 18 Find the x-intercept of the line below?
52x 7
2 Solve:
5, 7 and 15,5
#2#1
#4#3
#6#5
#8#7
22 33 6x
x 3 2x 3 5x2 5 6
45 12
x
Weekly Workout
7 55
m15
1220
35
35
y x5 15
3
y x 45
3y x
55 9
5, 7 and 15,5
Weekly Workout#1 Find the equation of the line through the points:
Simplify
22 33 6x
64x
#2
Weekly Workout
#3#3 Find the largest integer solution to:
3x 17 28
3x 17 28 28 3x 17 11 3x
11
x3
3x 45
x 15
x 14
and
Weekly Workout
#4#4 Solve
y 3x 4
x 2y 6
2yy 63 4
y 3 x 4
E2 E1E1
E2
y 6y 18 4
y 6y 147y 14
y 2
E2
x 2 2 6
x 4 6x 2 2, 2
Weekly Workout
#5#5 Solve:
45 12
x
Weekly Workout
5x 4 12x
4 7x
4x
7
45 12x
x
#6#6 Solve:
7 7
52x 7
2
9 19,
4 4
52x 7
2
52x 7
2 7
Weekly Workout
#7#7
2x 3y 18
Find the x-intercept of the line below
02x 3 18
2x 18x 9 9,0
Weekly Workout
#8#8 Solve x 3 2x 3 5x2 5 6
Weekly Workout
x 3 2x 3 5x2 5 6
30
15 x 3 6 2x 3 5 5x
15x 45 12x 18 25x
27x 27 25x
27 2x
27x
2
Solve: Factor
Solve:
#2#1
#4#3
#6#5
#8#7
x 1514 18
x
Weekly Workout
2x 4x 1 3x 5 Multiply Find the equation of the line through the
point (9,-5) and perpendicular to the line:
y 3x 16
Solve:
42 5 22x 9x 3x
y 2x 5
6x 2y 6
x x 25
3 2
Simplify:
1 1 4
1 15 7 7
(express as a mixed number)
210x 27x 28
Simplify
Weekly Workout#1 Multiply
22x 12x 17x 5
2x 4x 1 3x 5
3 224x 34x 10x
#2
Weekly Workout
y 3x 16
1
y3
x5 9
1
y x 23
Find the equation of the line through the point (9,-5) and perpendicular to the line:
Slopes
m 3
m 13
#3#3
Weekly Workout
x 1514 18
x
Solve: x
14 1x15
8x
14x x 15 18x
15x 15 18x 15 3x5 x
2x 7 5x 4 #4#4
Weekly Workout
Factor 210x 27x 28
27
280
35 8
210x
2835x
2x
7
5x 4
8x
#5#5
Weekly Workout
42 5 22x 9x 3xSimplify
2 5 82x 9x 81x
151458x
#6#6 Solve
Weekly Workout
x x 25
3 2
x x3
62
52
2x 3 x 2 30
2x 3x 6 30
x 6 30
x 36
x =−36
#7#7
Weekly Workout
Solve
2x6x 2 65
E1 E2
y 82 5
8, 21y 2x 5
6x 2y 6
6x 4x 10 6 2x 10 6
2x 16
x 8
E1
y 16 5 y 21
#8#8
Weekly Workout
Simplify:
13
5
1 1 4
1 15 7 7
1 8 415 7 7
1 8 715 7 4
1
1 25
(express as a mixed number)
Find the y-intercept of the line through the points (30,0) and (-15,18). Express your answer as a point.
Weekly Workout Quiz
1 2
3 4
6
7
5
8
9 10
Name:
3x 18 5x k x 3
The equation below has no solution – find the value of k.
Solve. x 3x 1 6x 4
A chemist mixes a 12% acid solution with 20% acid solution to make 300 milliliters of an 18% acid solution. How many milliliters of the 12% solution will he need to add to the mixture?
2 172x x 1
3
Solve.
Solve. 1 64x 3x 0
3 5
A number is 4 less than a second number. Four times the first number is 6 more than twice the second number. Find the larger of the two numbers.
Write and simplify a polynomial expression for the volume of the prism.
Solve the system..yx
18 2x
y 23
Weekly Workout Quiz 1 2
3 4
6
7
5
8
9 10
0,12( )
k 2
ml754x ,1
3
1 2x ,
12 5
3 23b 12b 15b
k 32
1x ,3
6
11 0, 2
#2#1
#4#3
#6#5
#8#7
Weekly WorkoutWrite the equation of the line through the points:
Solve
x x 55
3 2
Find the area of triangle on the board if the perimeter is 36 feet.
( 3, 9) and (9, 1)
Write a quadratic equation in Standard Form that has the solutions:
3 2,
2 5
Solve 2x 4y 4
3x 5y 3
x 2 15x 16 x 2
Solve
Solve:
Find the x-intercept for the linear equation:
2 5 7
x y3 2 6
22x 5 37 67x
Weekly Workout#1 Write the equation of the line through the points:
9 13
m9
812
23
2
y3
x9 3
2
y x 73
( 3, 9) and (9, 1)
Find Slope
Use Point-Slope equation.
#2
Weekly WorkoutSolve 22x 5 37 67x
24x 20x 25 37 67x 24x 47x 12 0
(4x 1)(x 12) 0 1x 12,
4
#3#3
Weekly Workout
Write a quadratic equation in Standard Form that has the solutions:
3 2,
2 5
2x 3 5x 2 0
210x 11x 6 0
#4#4
Weekly Workout
Solve: x 2 15x 16 x 2
x 2 x 2 5x 16 2x 4x 4 5x 16
2x 9x 20 0
x 4 x 5 0
x 4,5
#5#5
Weekly Workout
Solve
x x 55
3 2
x x 55
36
2
2x 3 x 5 30
2x 3x 15 30
5x 15 30
x 35x 15
#6#6
Weekly Workout
2x 4y 4
3x 5y 3
6x 12y 12
6x 10y 6
3
2
2y 6
y 3
x 4 4, 3
Solve
1A bh
2 1
A h2
10 A 212
10 1
#7
Weekly Workout
3x 23x 2
2x
8x 4 36 8x 40x 5
5260 f t
perimeter 36
10
1313h
2 2 2a b c Pythagorean Theorem
2 2 2h 5 13 2 25 6h 1 9
2h 144h 12
Find the area of triangle on the board if the perimeter is 36 feet.
Weekly Workout
Find the x-intercept for the linear equation:
2 5 7
x y3 2 6
y 0
2 5 7x
3 20
6
2 7
x3 6
32
32
7
x4
7,0
4
Solve: Factor
Solve:
#2#1
#4#3
#6#5
#8#7
x 1514 18
x
Weekly Workout
2x 4x 1 3x 5 Multiply Find the equation of the line through the
point (9,-5) and perpendicular to the line:
y 3x 16
Solve:
42 5 22x 9x 3x
y 2x 5
6x 2y 6
x x 25
3 2
Simplify:
1 1 4
1 15 7 7
(express as a mixed number)
210x 27x 28
Simplify
Weekly Workout#1 Multiply
22x 12x 17x 5
2x 4x 1 3x 5
3 224x 34x 10x
#2
Weekly Workout
y 3x 16 1
m3
1
y3
x5 9 1
y x 23
1
y3
x5 3
Find the equation of the line through the point (9,-5) and perpendicular to the line:
#3#3
Weekly Workout
x 1514 18
x
Solve: x
14 1x15
8x
14x x 15 18x
15x 15 18x 15 3x5 x
2x 7 5x 4 #4#4
Weekly Workout
Factor 210x 27x 28
27
280
35 8
210x
2835x
2x
7
5x 4
8x
#5#5
Weekly Workout
42 5 22x 9x 3xSimplify
2 5 82x 9x 81x
151458x
#6#6 Solve
Weekly Workout
x x 25
3 2
x x3
62
52
2x 3 x 2 30
2x 3x 6 30
x 6 30
x 36
x =−36
#7#7
Weekly Workout
Solve
2x6x 2 65
E1 E2
y 82 5
8, 21y 2x 5
6x 2y 6
6x 4x 10 6 2x 10 6
2x 16
x 8
E1
y 16 5 y 21
#8#8
Weekly Workout
Simplify:
13
5
1 1 4
1 15 7 7
1 8 415 7 7
1 8 715 7 4
1
1 25
#2#1
#4#3
#6#5
#8#7
Weekly WorkoutWrite the equation of the line through the points:
Solve for the unknown sides “x” of the isosceles triangle with a base of 16 feet and an area of 64 square feet.
( 3, 9) and (9, 1)
Solve
x 5 86 x 5
Solve
Find the zeroes of the function.
2f x 4x 27x 7
Find the range of the function: 2y x 2x 8
2 1x 3
4
Solve
112 3 x 1 x 2
2
Find the smallest integer solution.
y 2x 5
6x 2y 6
16 ft
Weekly Workout#1 Write the equation of the line through the points:
9 13
m9
812
23
2
y3
x9 3
2
y x 73
( 3, 9) and (9, 1)
Find Slope
Use Point-Slope equation.
#2
Weekly WorkoutFind the zeroes of the function.
2f x 4x 27x 7
20 4x 27x 7
27
28
1 28
24x
71x
4x
1
x 7
28x
0 4x 1 x 7
#2
Weekly WorkoutFind the zeroes of the function.
2f x 4x 27x 7
20 4x 27x 7
0 4x 1 x 7
4x 1 0 x 7 0
1,7
4
#3#3
Weekly Workout
2 1x 3
4
1x 3
2
1x 3
4
1x 3
2
7 5x ,
2 2
6 1x
2 2
2 1x 3
4
6 1x
2
Solve
#4#4
Weekly Workout
Solve: x 5 86 x 5
2x 5 48 2x 5 48
x 5 48
x 5 4 3
x 5 4 3
Weekly Workout
#5 Find the range of the function.
212 81y
y 1 2 8
y 9 y 9
2y x 2x 8
#6#6
Weekly WorkoutSolve
2x6x 2 65
E1 E2
y 82 5
8, 21
y 2x 5
6x 2y 6
6x 4x 10 6 2x 10 6
2x 16
x 8
E1
y 16 5
y 21
Weekly Workout
#7 Find the smallest integer solution. 1
12 3 x 1 x 22
112 3x 3 x 1
2
116 3x x
2
32 6x x
32 5x
32x
5
26 x
5
6
1A bh
2
641
h2
16
#8
Weekly Workout
x
16
h
2 2 2a b c Pythagorean Theorem
2 2 28 8 x 264 64 x
x 8 2 f t.
Solve for the unknown sides “x” of the isosceles triangle with a base of 16 feet and an area of 64 square feet.
x
8 h8
82128 x128 x
2Area 64 f t
#1
#3
#5
#7
Weekly Workout#2
#4
#6
#8
Solve Simplify
2x 5
2
3x 4
4
9x 3
6 12
33
3
4 2
1
2
List ALL integer solutions of the inequality.
2 3x 1 11
2f x x kx 3
The point (3,12) is on the parabola of the function. Solve for k.
f x 3 x 9 x 1 Find the maximum value of the function.
Solve x 1 xx 6
22x 3x 1 0 Solve
Find the slope of a line perpendicular to the line: 2x 3y 6
Weekly Workout#1 Solve
2x 5
2
3x 4
4
9x 3
6
2x 5 3x 4 9x 32 4 6
12
6 2x 5 3 3x 4 2 9x 3
12x 30 9x 12 18x 6
21x 42 18x 6
3x 42 6
3x 48 x 16
#2
Weekly Workout
5
3
15
4
5
2
12
12
12
35 11 or 2
12 12
12
33
3
4 2
1
2
20 45 30
#3
Weekly Workout
f x 3 x 9 x 1 Find the maximum value of the function.
75
x2ba
Formula f or A.O.S.
9, 1
Zeroes
or
4 9 14f x 3
f x 3 5 5
#4#4
Weekly Workout
Find the slope of a line perpendicular to the line:
2x 3y 6
3y 2x 6 3y 2x3 3
63
2y x 2
3
32
Weekly Workout
#5
22x 3x 1 0 Solve
3
21 2
22x
11x
2x
1
x 1
2x 2x 1 x 1 0
1x ,1
2
#6#6
Weekly Workout
Solve:
26 x 1 x
x 1 xx 6
26x 6 x
20 x 6x 6
2x 6x 6 2x 6x 6
2x 3
9 9
15
x 3 15
x 3 15
Weekly Workout
#7#7
0
2 3x 1 3x 1 11
3 3x 3x 12
1 4
2 3x 1 11
and1 x x 4
List ALL integer solutions of the inequality?
2,3,4
#8
Weekly Workout
2f x x kx 3
The point (3,12) is on the parabola of the function below.
2
12 3 k 3 3
12 9 3k 3
12 6 3k
6 3k k 2
#1
#3
#5
#7
Weekly Workout#2
#4
#6
#8
22x 24x 68 0
x x 25
3 2
x 21
2 x
Solve
Divide
2
9 x 32x 6 x 9
2
8 2 13x x 3
2 1 1
x 1 x 3
SolveSolve
Solve
Solve25x 10x 240 0
Find two numbers that sum to 15 and whose difference is 47.
Solve
#1
Weekly Workout
x y 15
16 and 31
Find two numbers that sum to 15 and whose difference is 47.
x = larger number
y = smaller number x y 47 2x 62
x 31
#2
Weekly Workout
Divide2
9 x 32x 6 x 9
29 x 9
2x 6 x 3
x 3 x 39
2 x 3 x 3
92
#3
Weekly WorkoutSolve
x x 25
3 2
x x3
62
52
2x 3 x 2 30
2x 3x 6 30
x 6 30
x 36
x 36
#4
Weekly WorkoutSolve
2 1 1
x 1 x 3
6x 3 x 1 x x 1
216 163 x 8x
2
x 419
x 4 19 2 1 1
x 1 xx
33 x 1
26x 3x 3 x x
20 x 8x 3
#5
Weekly WorkoutSolve
2(x 6)
x 6 2
x 6 2
2x 12x 34 0 2x 12x 34 36 36
2
22x 24x 68 0 2x 12x 42 3 0
#6
Weekly WorkoutSolve
2
8 2 13x x 3
22
8 2 13x x
3x3
28 6x x 2x 6x 8 0
x 2 x 4 0
x 2,4
#7
Weekly WorkoutSolve
x 21
2 x
x 21
2 x2x
2x 2x 4 2x 2x 4 0 2x 2x 4
2x 1
1 1
5
x 1 5 x 1 5
#8
Weekly WorkoutSolve
25x 10x 240 0
25 x 2x 48 0
5 x 6 x 8 0
x 6,8
#1
#3
#5
#7
Weekly Workout#2
#4
#6
#8
Subtract
Divide
442min.
6
Convert to hours, minutes and seconds.
2
1 4x 3 x 2x 3
Solve and simplify your answer.
8x 12
x
3 20 3x 3x 6x Solve.
hint : there are 3 solutions!
2
2
5x 45 3x 93x15x
Solve the system:
y 3x 5
6x 3y 15
x 3x2 3 x
4 8
Find the smallest integer solution to:
Find the equation of the line through the points: 6,13 and 12, 11
#1
Weekly Workout
442min.
6
473 min.
6
2
1 hour 13min min.3
1 hr, 13min, 40sec.
260 13 min.
3 2
603
40
Convert to hours, minutes and seconds.
2
1 4x 3 x 2x 3
Warm Up
# 2 Subtract
1 4
x 3 x 3 x 1
x 1
x 1
x 1 4
x 3 x 1
1x 1
x 3
x 3 x 1
#3
Weekly Workout
2x 12x 8
2x 6
36 36
28
x 6 28 x 6 2 7
2x 12x 8
8x 12
x
Solve and simplify your answer.
8x 12
xx
x 6 28
2
2
5x 45 3x 93x15x
Weekly Workout#4 Divide
2
2
5x 45 3x
3x 915x
2
2
5 x 9 3x15x 3 x 3
x 33x
2
5 x 3 x 3 3x15x 3 x 3
Weekly Workout
#5 Find the equation of the line through the points:
13 116
m12
2418
43
4
1y3
x1 12
4
y x 53
4
1y3
x1 16
6,13 and 12, 11
Slope: Point-Slope Equation: 1 1my xy x m
yx
#6
Weekly WorkoutSolve the system:
6x 2y 10
6x 3y 15
y 3x 5
6x 3y 15
y 5
3x y 5
6x 3y 15
3x 5 5
3x 0
x 0
y 5
0, 5
#7
Weekly Workout
3 20 3x 3x 6x
20 3x x x 2
0 3x x 1 x 2
Solve.
x 0, 1,2
#8
Weekly Workout
x 3
Find the smallest integer solution to the inequality:
x 3x2 3 x
4 8
x 3x2 3 x
48
8 2x 3x 16 24 8x
5x 16 24 8x 3x 16 24
3x 8
8
x3
2
x 23
A chemist needs to make a solution that is 70% water and 30% hydrochloric acid. The chemists current mixture is 300 mL of 60% water and 40% acid. How much water must be added to the solution?
Mila can mow the lawn in one-fourth of the time that it takes her friend Sage. Together they can mow the lawn in 1 hour and 20 minutes. How fast can Mila mow the lawn by herself?
It took Mr. Jones as much time to drive 180 miles as it took Mr. Smith to drive 135 miles. Mr. Jones drove 15 mph faster than Mr. Smith. What was Mr. Jones’s speed?
Simplify the complex fraction:
2 2
4x y
2x y
Weekly Workout
#1 #2
#3 #4
Weekly Workout#1 A chemist needs to make a solution that is 70% water and 30% hydrochloric
acid. The chemists current mixture is 300 mL of 60% water and 40% acid. How much water must be added to the solution?
Original
New
WaterTotal
mixture
180 300
180 x 300 x
180 x 7
300 x 10
1800 10x 2100 7x 3x 300x 100
2100 ml of H O
“Have”
“Want”
“Stuff”
x = amount of water to be added.
#2 Mila can mow the lawn in one-fourth of the time that it takes her friend Sage. Together they can mow the lawn in 1 hour and 20 minutes. How fast can Mila mow the lawn by herself?
Mila’srate
Sage’srate
Combinedrate
180
1x
x = time it take Mila to mow the lawn (in minutes)
14x
1 1 1
x 4x 80
80x
80 20 x
120 xMila can mow the lawn in 2 hours.
Weekly Workout
It took Mr. Jones as much time to drive 180 miles as it took Mr. Smith to drive 135 miles. Mr. Jones drove 15 mph faster than Mr. Smith. What was Mr. Jones’s speed?
#3
Distance = rate x time
Smith
Jones
x = speed of Smith
x + 15 = speed of Jones
135
180180
x 15
135x
x 15
x
dtime
r
180 135x 15 x
180x 135x 2025
45x 2025
x 45
J ones's speed was 60 mph.
Weekly Workout
Simplify#4
2 2
4x y
2x y
2 2
4 2x yx y
2 2
x y42x y
x y4
2x y x y
2x y
Weekly Workout
Solve and simplify your answer:
6, 5 and 9,5 2x 10x 13
y x 5 x 1 2x 1 4 7Solve
Solve
y x 1
x y 10
Solve the system:
Multiply and Simplify: Solve
152x 1
x 22 33x 2x
#1 #2
#3 #4
#5#6
#7 #8
Write the equation of the line through the points:
Find the vertex of the graph of the function:
6 x 1 4
Hint: Check your answers!
2y x 4x 5
b
x2a
A.O.S.
x4
2 1x 2
2
2y 4 2 5
y 4 8 5
y 9 2, 9
#1 Find the vertex of the graph of the function:
y x 5 x 1
#2 Solve 2x 1 4 7
2x 1 3
2 2
2x 1 3
2x 1 9
2x 10
x 5
Check !
Solve and simplify your answer completely.
2x 10x 13
2x 5
25 25
12
x 5 12
x 5 2 3
2x 10x 13
x 5 12
#3
6, 5 and 9,5
Write the equation of the line through the points:
1 1my xy x
5 56
m9
1015
23
2
y3
x5 9
2
y x 13
2
y3
x5 6
#4
Solve the system:
11 9
,2 2
y x 1
x y 10 x x 1 10
2x 1 102x 11
11
x2
11
y 12
9
y2
#5
6 x 1 4
x 1 2 2 2
x 1 2
x 1 4
x 5Extraneous
Solution
Check !#6 Solve
Multiply and Simplify:
22 33x 2x
2 3 33x 2x 2x
812x
#7
22x 15 x
22x x 15 0
2x 5 x 3 0
5x , 3
2
15
2x 1x
#8 Solve
List all prime numbers that are solutions to the inequality:
3x 2 8
Find the area of an equilateral triangle that has a perimeter of 18 feet.(round your answer to the nearest tenth of a foot)
Solve Subtract182x 5
x
#1 #2
#3#4
#5 #6
#7 #8
Hint: Check your answers!
Find the input(s) of the function that give an output of 12
2y 2x 15x 4 x 84 5x
Solve
Find the equation of the line that has the same y-intercept as the line below, but is perpendicular to it.
5x 3y 18
Simplify 2
2
18x 2
6x 38x 12
2
1 4x 3 x 2x 3
#1
212 2x 15x 4 20 2x 15x 8
0 2x 1 x 8
1x ,8
2
Find the input(s) of the function that give an output of 12
2y 2x 15x 4
#2 Solve
2x 5x 84 0
x 7, 12
x 84 5x
x 12 x 7 0
2x 84 5x
22x 84 5x 7 84 5 7
7 49
84 1512 2
x 7
Check your answers!
List all prime numbers that are solutions to the inequality:
3x 2 8
#3
8 3x 2 8
8 3x 2
6 3x 2 x
3x 2 8
3x 1010
x3
1or 3
3 2,3
#4 Find the equation of the line that has the same y-intercept as the line below, but is perpendicular to it.
5x 3y 18 3y 5x 18
y53
x 6
3
y x 65
#5 Find the area of an equilateral triangle that has a perimeter of 18 feet.
(round your answer to the nearest tenth of a foot)
66
6
h
Pythagorean Theorem.2 2 2a b c 2 2 2h 3 6
2h 9 36 2h 27
h 27
1Area bh
2
1Area 6 27
2
2Area 15.6 f t
#6 Simplify
2
2
18x 2
6x 38x 12
2 3x 1 3x 1
2 3x 1 x 6
3x 1x 6
#7 Solve
182x 5
x
22x 18 5x
2x 5x18x
22x 5x 18 0
x 2 2x 9 0
9x 2,
2
2
1 4x 3 x 2x 3
1 4x 3 x 3 x 1
x 1
x 1
x 1 4
x 3 x 1
1x 1
x 3
x 3 x 1
#8 Subtract