Simplify:◦ Replace a numerical expression with its simplest name

Is 32 – 5 simplified? Exponent:

◦ Tells how many times you multiply the base by itself 32

Base:◦ The number being multiplied in a given power

32

Power:◦ The term for the base and exponent, combined

32

P: Parentheses or grouping symbols◦ ( , [ , {

E: Exponents M: Multiplication

◦ D: Division

◦ , , / A: Addition

◦ + S: Subtraction

◦ -

M & D: Work in order from Left to Right in expression

A & S: Work in order from Left to Right in expression

a) 25 – 7 5 + 32

= 25 – 7 5 + 9= 25 – 35 + 9= -10 + 9= -1

P E M D A S

X X

b) 7 – 12 + 4

= -5 + 4= -1

P E M D A S

X X X X

c) 3 4 6

= 12 6= 2

P E M D A S

X X X X

a) 2x + 17 – 3 where x=2= 2(2) + 17 – 3• Remember PEMDAS when simplifying= 4 + 17 – 3= 21 – 3= 18

b)d + e – u where d=2, e=1, and u=17 = (2) + (1) – (17)• Again, follow PEMDAS = 3 – 17 = -14

c) 40 – d2 + cd 3 where c=2 and d = 5= 40 – (5) 2 + (2)(5) 3= 40 – 25 + (2)(5) 3= 40 – 25 + 30= 15 + 30= 45

A poster states that a pair of shoes are on sale for $59.00. If the sales tax is 6%, what is the total cost of the shoes?

Use the formula c = p + rp C: total cost P: price of the shoes R: sales tax rate C = (59.00) + (0.06)(59.00) C = 59 + 3.54 C = $62.54 The total cost of the shoes, including sales tax,

will be $62.54.

a) 15(12-6) (3+3)◦ If it helps, make a PEMDAS box= 15(6) (6)*We now work from left to right= 90 (6)= 15

b) (5+4) (7 – 3)◦ If it helps, make a PEMDAS box= (9) (4)= 36

a) (xy)² where x=3 and y=4 = (3 4)² • Use PEMDAS to simplify = 12² = 144

b)xy2 + 5 where y = 5 and x = 2 = 2(5) 2 + 5* Use PEMDAS to simplify = 2(25) + 5 = 50 + 5 = 55

c) [2+(x – 1)] – (x)2 8 where x = 3 = [2+(3 – 1)] – (3)2 8 *Use PEMDAS to simplify = [2+(2)] – (3)2 8 = 4 - (3)2 8 = 4 – 9 8 = 4 – 72 = -68

Remember: If it helps you, use a PEMDAS box to simplify!!!