1. Opener Write the expression as a power. Then evaluate. 1) y · y · y · y when y = 3 2) x ∙ x ∙ x ∙ x ∙ x ∙ x, when x = 1 Evaluate the expression when k=2. 3) k 2 ∙ k 3 4) k 2 ∙ k ∙ k 3) 32 2) x 6 ; 1 1) y 4 ; 81 4) 16

2. □ I will be able to use the order of operations.

3. Vocabulary order of operations– the rules necessary to consistently evaluate expressions grouping symbols – symbols (such as parenthesis () and brackets []) used to change the order of operations

4. Order of Operations 1) Evaluate expression inside grouping symbols (P) 2) Evaluate powers (E) 3) Multiply and divide from left to right (M-D) 4) Add and subtract from left to right (A-S)

5. Please() Excusex2 My Dear· / ÷ Aunt Sally+ / - P E M D A S

6. Ex 1 – Using the Order of Operations Evaluate. a) 2 + 12 ÷ 3 = 2 + 4First divide 12 by 3. = 6Then add 2 and 4. b) 4 · 3 2 = 4 · 9First evaluate the power 3 2. = 36Then multiply 4 and 9.

7. Ex 2 – Using the Left-to-Right Rule Evaluate. a) 6 ÷ 3 · 5 = 2 · 5 Left-to-right rule: Divide 6 by 3. = 10Then multiply 2 and 5. b) 7 – 5 + 8 – 4 = 2 + 8 - 4Left-to-right rule: Subtract 5 from 7. = 10 – 4Then add 2 and 8. = 6Then subtract 4 from 10.

8. Ex 3 – Evaluating with Grouping Symbols Evaluate the expression. a) (3 + 4) · 2 = 7 · 2 Add inside parenthesis. = 14Multiply. b) 8 ÷ (5 · 3 – 7) = 8 ÷ (15 – 7) Multiply inside parenthesis. = 8 ÷ 8Subtract inside parenthesis. = 1Divide.

9. Ex 4 – Writing Verbal Phrases Write a verbal phrase for the expression. Then evaluate the expression. a) 14 – 6 · 2 The product of 6 and 2, subtracted from 14. = 14 - 12 First multiply. = 2Then subtract. b) (14 – 6) · 2 The difference of 14 and 6, multiplied by 2. = 8 · 2 First evaluate inside parenthesis. = 16Then multiply.

10. Ex 5 – Evaluating a Variable Expression Evaluate. a) 2x 2 + 3x – 4 when x = 2 = 2(2 2 ) + 3(2) – 4 Substitute 2 for x. = 2(4) + 3(2) – 4 Evaluate power. = 8 + 6 – 4 Multiply. = 14 – 4Use left-to-right rule. = 10Subtract.

11. Homework WB 1.4 (#1-35)