2.  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

3.  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

4. a) 25 – 7  5 + 3 2 = 25 – 7  5 + 9 = 25 – 35 + 9 = -10 + 9 = -1 PEMDAS X X

5.  b) 7 – 12 + 4 = -5 + 4 = -1 PEMDAS XXXX

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

7.  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

8.  c) 40 – d 2 + 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

9.  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.

10.  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

11.  a) (xy)² where x=3 and y=4 = (3  4)² Use PEMDAS to simplify = 12² = 144 b)xy 2 + 5 where y = 5 and x = 2 = 2(5) 2 + 5 * Use PEMDAS to simplify = 2(25) + 5 = 50 + 5 = 55

12.  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!!!

13. 1. 59 2. 22 3. 7 4. 113 5. 32 6. 29 7. 21 8. 27 9. 124 10. 15 11. 180 12. 169 16. 3 18. 5 20. 4 22. 7744 24. 361 26. 9 28. 3872 30. 186 32. 7 34. 36 36. 91 38. 28 40. 2596