 Simplify: ◦ Replace a numerical expression with its simplest name  Is 3 2 – 5 simplified?  Exponent: ◦ Tells how many times you multiply the base by itself 3232  Base: ◦ The number being multiplied in a given power 3232  Power: ◦ The term for the base and exponent, combined 32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  = 25 – 7  = 25 – = = -1 PEMDAS X X

 b) 7 – = = -1 PEMDAS XXXX

 c) 3  4  6 = 12  6 = 2 PEMDAS XX XX

 a) 2x + 17 – 3 where x=2 = 2(2) + 17 – 3 Remember PEMDAS when simplifying = – 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 – d 2 + cd  3 where c=2 and d = 5 = 40 – (5) 2 + (2)(5)  3 = 40 – 25 + (2)(5)  3 = 40 – = = 45

 A poster states that a pair of shoes are on sale for $ 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 =  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)xy where y = 5 and x = 2 = 2(5) * Use PEMDAS to simplify = 2(25) + 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!!!