Mid-Chapter Quiz 1. Determine whether the table represents an inverse variation. Explain. x y 2 8 4 4 8 2 16 1 ANSWER: Yes, each product is 16. Assume that y varies inversely as x. Write an inverse variation equation that relates x and y. 2. y = 5 when x = 10 ANSWER: 3. y = −2 when x = 12 ANSWER: Solve. Assume that y varies inversely as x. 4. If y = 6 when x = 3, find x when y = 5. ANSWER: 3.6 5. If y = 3 when x = 2, find y when x = 4. ANSWER: 1.5 State the excluded value for each function. 6. ANSWER: 0 7. ANSWER: 6 Identify the asymptotes of each function. 8. eSolutions Manual - Powered by Cognero ANSWER: x = −2, y = 0 Page 1 7. ANSWER: Mid-Chapter Quiz 6 Identify the asymptotes of each function. 8. ANSWER: x = −2, y = 0 9. ANSWER: x = 4, y = 0 2 2 10. MULTIPLE CHOICE Jorge has x + 8x + 15 square yards of carpet. He wants to carpet rooms that have x + 5x + 6 areas of square yards. Write and simplify an expression to show how many rooms he can carpet. A B C D ANSWER: B Simplify each expression. State the excluded values of the variables. 11. ANSWER: 2 2xy ; x ≠ 0, y ≠ 0 12. ANSWER: ; 2, 5 13. ANSWER: ; −5, 5 Find each product. eSolutions Manual - Powered by Cognero 14. Page 2 ANSWER: Mid-Chapter ; −5,Quiz 5 Find each product. 14. ANSWER: 15. ANSWER: 1 16. ANSWER: 17. MULTIPLE CHOICE Find the area of the rectangle. F G H 1 J x − 2 ANSWER: J Find each quotient. 18. ANSWER: 19. ANSWER: eSolutions Manual - Powered by Cognero Page 3 ANSWER: Mid-Chapter Quiz 19. ANSWER: 20. ANSWER: 21. ANIMALS American quarter horses excel at sprinting short distances. A quarter horse named Evening Snow holds the world record for the quarter mile with a time of 20.94 seconds. What is this speed in miles per hour and in meters per second? ANSWER: 42.98 mi/h; 19.26 m/s eSolutions Manual - Powered by Cognero Page 4