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9 8. 4(3 + 9) ANSWER: 48 Mid-Chapter Quiz Write a verbal expression for each algebraic expression. 1. 21 − x 9. 3 ANSWER: 4 ANSWER: twenty-one minus x to the third power 10. 2. ANSWER: the sum of three times m to the fifth power and nine Write the algebraic expression for each verbal expression. 3. five more than s squared ANSWER: 2 11. AMUSEMENT PARK The costs tickets to a local amusement park are shown. Write and evaluate an expression to find the total cost for 5 adults and 8 children. ANSWER: 4. four times y to the fourth power ANSWER: 5. CAR RENTAL The XYZ Car Rental Agency charges a flat rate of $29 per day plus $0.32 per mile driven. Write an algebraic expression for the rental cost of a car for x days that is driven y miles. ANSWER: 5(45) + 8(25) = 425 12. MULTIPLE CHOICE Write an algebraic expression to represent the perimeter of the rectangle shown below. Then evaluate it to find the perimeter when w = 8 cm. ANSWER: 29x + 0.32y Evaluate each expression. 6. 24 ÷ 3 – 2 • 3 ANSWER: 2 A 37 cm B 232 cm 7. ANSWER: 9 8. 4(3 + 9) ANSWER: 48 9. ANSWER: 4 eSolutions Manual - Powered by Cognero 10. C 74 cm D 45 cm ANSWER: C Evaluate each expression. Name the property used in each step. 3 13. (8 − 2 ) + 21 ANSWER: 3 (8 − 2 ) + 21 = (8 − 8) + 21 = 0 + 21 Substitution Additive Inverse Page 1 = (18 + 32) + (35 + 15) = 50 + 50 = 100 D 45 cm ANSWER: Mid-Chapter Quiz C ANSWER: 3 (8 − 2 ) + 21 = (8 − 8) + 21 = 0 + 21 = 21 Substitution Additive Inverse Additive Identity 17. 0.25 ∙ 7 ∙ 4 ANSWER: 0.25 ∙ 7 ∙ 4 = 0.25 ∙ (7 ∙ 4) = 0.25 ∙ 28 =7 Associative Property (×) Substitution Substitution Use the Distributive Property to rewrite each expression. Then evaluate. 18. 3(5 + 2) 14. 3(1 ÷ 3) ∙ 9 ANSWER: 3(5) + 3(2); 21 Substitution = 1 ∙ 9 = 9 Substitution Additive Identity Evaluate each expression. Name the property used in each step. 3 13. (8 − 2 ) + 21 ANSWER: 3(1 ÷ 3) ∙ 9 Associative Prop. (+) Multiplicative Inverse Multiplicative Identity 19. (9 – 6)12 ANSWER: 9(12) + (−6)(12); 36 20. 8(7 – 4) 15. ANSWER: 8(7) – 8(4); 24 ANSWER: Multiplicative Identity Substitution = 1 Multiplicative Inverse Use the Distributive Property to rewrite each expression. Then simplify. 21. 4(x + 3) ANSWER: 4(x) + 4(3); 4x + 12 22. (6 – 2y)7 16. 18 + 35 + 32 + 15 ANSWER: 6(7) – 2y(7); 42–14y ANSWER: 18 + 35 + 32 + 15 = 18 + 35 + 32 + 15 = (18 + 32) + (35 + 15) = 50 + 50 = 100 Commutative Prop. (+) Associative Prop. (+) Substitution Additive Identity 17. 0.25 ∙ 7 ∙ 4 ANSWER: 23. –5(3m – 2) ANSWER: –5(3m) – (–5)(2); –15m +10 24. DVD SALES A video store chain has three locations. Use the information in the table below to write and evaluate an expression to estimate the total number of DVD’s sold over a 4-day period. 0.25 ∙ 7 ∙ 4 = 0.25 ∙ (7 ∙ 4) Associative Property (×) eSolutions Manual by Cognero = 0.25 ∙ 28- PoweredSubstitution =7 Substitution Page 2 ANSWER: 4(145 + 211 + 184); 2160 6(7) – 2y(7); 42–14y 23. –5(3m – 2) ANSWER: Mid-Chapter Quiz –5(3m) – (–5)(2); –15m +10 24. DVD SALES A video store chain has three locations. Use the information in the table below to write and evaluate an expression to estimate the total number of DVD’s sold over a 4-day period. ANSWER: 4(145 + 211 + 184); 2160 25. MULTIPLE CHOICE Rewrite the expression (8 – 3p )(–2) using the Distributive Property F 16 – 6p G –10p H –16 + 6p J 10p ANSWER: H eSolutions Manual - Powered by Cognero Page 3