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

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

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

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)

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

Ex 1 – Using the Order of Operations Evaluate. a) ÷ 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.

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 – – 4 = Left-to-right rule: Subtract 5 from 7. = 10 – 4Then add 2 and 8. = 6Then subtract 4 from 10.

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.

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. = 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.

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. = – 4 Multiply. = 14 – 4Use left-to-right rule. = 10Subtract.

Homework WB 1.4 (#1-35)