1. Divide. Evaluate power. 27 3 2 2 – 3 = 27 9 2 – 3 EXAMPLE 1 27 9 2 – 3 = 3 2 – 3 3 2 – 3 = 6 – 3 Multiply. Evaluate expressions Multiply and divide from left to right. STEP 3 Evaluate the expression 27 3 2 2 3. – There are no grouping symbols, so go to Step 2. STEP 1 Evaluate powers. STEP 2

2. STEP 4 Add and subtract from left to right. 6 – 3 = 3 EXAMPLE 1 Subtract. ANSWER The value of the expression 27 3 2 2 – 3 is 3. Evaluate expressions

3. GUIDED PRACTICE for Example 1 1. Evaluate the expression 20 – 4 2 ANSWER 1. 4 2. Evaluate the expression 2 3 2 + 4 ANSWER 2. 22 3. Evaluate the expression 32 2 3 + 6 ANSWER 3. 10

4. GUIDED PRACTICE for Example 1 4. Evaluate the expression 15 + 6 2 – 4 ANSWER 4. 47

5. 24 – (9 + 1) = 2[9] EXAMPLE 2 Evaluate expressions with grouping symbols Evaluate the expression. a. 7(13 – 8) = = 35 Subtract within parentheses. Multiply. b.b. 24 – (3 2 + 1) = Evaluate power. =24 – 10 Add within parentheses. = 14 Subtract. c. 2[30 – (8 + 13)] = Add within parentheses. Subtract within brackets. = 18 Multiply. 7(5) 2[30 – 21]

6. EXAMPLE 3 Evaluate an algebraic expression Evaluate the expression when x = 4. 9x 3(x + 2) Substitute 4 for x. Add within parentheses. 18 36 = Multiply. =2 Divide. = 3(4 + 2) 9 4 3 6 9 4 =

7. GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression. 5. 4(3 + 9)= 48 6.6. 3(8 – 2 2 ) = 12 7. 2[( 9 + 3) 4 ] = 6

8. GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression when y = 8. = 61 y 2 – 38. = 3 12 – y – 19. = 9 10y + 1 y + 1 10.

9. Standardized Test Practice EXAMPLE 4

10. SOLUTION Substitute 1.25 for j and 2 for s. = 12(3.75 + 4) + 30 Multiply within parentheses. = 93 + 30 Multiply. = 123 Add. The sponsor’s cost is $123.The correct answer is B.. AB C D ANSWER = 12(7.75) + 30 Add within parentheses. = 12(3 1.25 + 2 2) + 30 12(3j +2s) + 30

11. GUIDED PRACTICE for Example 4 11. WHAT IF? In Example 4, suppose the number of volunteers doubles. Does the sponsor’s cost double as well? Explain. The sponsor’s cost is $216. No; the total cost of the juice drinks and sandwiches will double, but the cost of the trash bags will not. ANSWER