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Solve. Assume that y varies inversely as x. 5. If y = 3 when x = 9, find x when y = 1. ANSWER: 27 Practice Test - Chapter 11 Determine whether each table represents an inverse variation. Explain. 6. If y = 2 when x = 0.5, find y when x = 3. ANSWER: 1. x 2 4 8 y 10 12 14 Simplify each expression. State the excluded values of the variables. ANSWER: No; the products are not the same. 7. ANSWER: 2. x 2 4 8 y 2 1 8. ANSWER: ANSWER: yes; 9. MULTIPLE CHOICE The area of a rectangle is 2 x + 5x + 6 square feet. If the width is x + 2, what is the length of the rectangle? Find each product or quotient. 3. ANSWER: A x + 2 B x + 3 C 1 D 3 ANSWER: B 4. ANSWER: Simplify each expression. 10. Solve. Assume that y varies inversely as x. 5. If y = 3 when x = 9, find x when y = 1. ANSWER: ANSWER: 27 6. If y = 2 when x = 0.5, find y when x = 3. ANSWER: 11. eSolutions Manual - Powered by Cognero Simplify each expression. State the excluded Page 1 ANSWER: 16. (3x − 14x − 3) ÷ (x − 5) ANSWER: ANSWER: Practice Test - Chapter 11 Assume that y varies inversely as x. Write an inverse variation equation that relates x and y. 17. y = 2 when x = 8 11. ANSWER: ANSWER: x +5 18. y = −3 when x = 1 12. ANSWER: ANSWER: Find each sum or difference. 19. ANSWER: 13. ANSWER: 20. ANSWER: Find each quotient. 2 14. (2x + 10x) ÷ 2x ANSWER: x +5 21. ANSWER: 2 15. (4x − 8x + 5) ÷ (2x + 1) ANSWER: 22. ANSWER: 2 16. (3x − 14x − 3) ÷ (x − 5) ANSWER: State the excluded value or values for each function. Assume that y varies inversely as x. Write an inverse variation equation that relates x and y. 17. y = 2 when x = 8 ANSWER: eSolutions Manual - Powered by Cognero 23. ANSWER: 1 Page 2 ANSWER: Practice Test - Chapter 11 State the excluded value or values for each function. 23. ANSWER: 1 24. ANSWER: −3, 8 Identify the asymptotes of each function. 25. ANSWER: x = 4, x = −2, y = 0 26. ANSWER: x = 4, x = −7, y = 2 27. MULTIPLE CHOICE Lee can shovel the driveway in 3 hours, and Susan can shovel the driveway in 2 hours. How long will it take them working together? F 6 hours G 5 hours H hours J 4 hours ANSWER: H 28. PAINTING Sydney can paint a 60-square foot wall in 40 minutes. Working with her friend Cleveland, the two of them can paint the wall in 25 minutes. How long would it take Cleveland to do the job himself? ANSWER: eSolutions Manual - Powered by Cognero Page 3