Gr 10 Test 2 S2 Q3 Practice

1 Gr 10 Practice Test 2 Q3. Multiple Choice Identify the choice that best completes the statement or answers the question. Sketch the asymptotes and graph the function. ____ 1. a. y c. y 10 10. 5 5. 10 5 5 10 x 10 5 5 10 x 5 5. 10 10. b. y d. y 10 10. 5 5. 10 5 5 10 x 10 5 5 10 x 5 5. 10 10. ____ 2. a. y c. y 10 10. 5 5. 10 5 5 10 x 10 5 5 10 x 5 5. 10 10. b. y d. y 10 10. 5 5. 10 5 5 10 x 10 5 5 10 x 5 5. 10 10. ____ 3. Write an equation for the translation of that has the asymptotes x = 1 and y = 7. a. c. b. d. Simplify the rational expression. State any excluded values. ____ 4. a. c. ; where ; where b. d. ; where ; where ____ 5. a. ; where c. ; where , 2. b. d. ; where ____ 6.

2 A. c. ; where ; where b. d. ; where ; where ____ 7. Suppose that a sphere with radius 4a has the same volume as a cylinder of radius 2a What is the height of the cylinder? Give your answer in terms of a. Use the formulas and for the volumes of a sphere and cylinder respectively. a. 3 2 b. 64 c. 3 d. 64 2. a a a a 64 3 64 3. Multiply. ____ 8. a. c. b. d. ____ 9. a. c. b. d. Divide. ____ 10. a. b. c. d. ____ 11. a. c. b. d. Add or subtract. ____ 12. a. b. c. d. ____ 13. a. c. b. d. Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it. ____ 14. x 9 12 16 19.

3 Y 19 23 26 51. a. inverse variation;. b. 19. direct variation; y = x 9. c. Neither ____ 15. x 5 1 1 2. y 13 5 1 1. a. 13. direct variation; y = x 5. b. inverse variation;. c. Neither ____ 16. A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip? Number of Students (n) 3 6 9 16. Cost per Student (c) $24 $12 $8 $ a. c. , $10. , $12. b. d. , $6. , $12. ____ 17. Suppose that y varies jointly with w and x and inversely with z and y = 72 when w = 8, x = 18 and z = 6.

4 Write the equation that models the relationship. Then find y when w = 5, x = 25 and z = 5. a. c. 3. 6. 25. b. d. 150 75. Graph the function. ____ 18. xy + 7 = 0. a. y c. y 10 10. 5 5. 10 5 5 10 x 10 5 5 10 x 5 5. 10 10. b. y d. y 10 10. 5 5. 10 5 5 10 x 10 5 5 10 x 5 5. 10 10. ____ 19. This graph of a function is a translation of . What is an equation for the function? y 10. 8. 6. 4. 2. 10 8 6 4 2 2 4 6 8 10 x 2. 4. 6. 8. 10. a. c. b. d. ____ 22. Suppose that x and y vary inversely, and x = 10 when y = 4. Write the function that models the inverse variation. a. c. b. y = d. Short Answer 23. Suppose that y and x vary inversely and that when . a. What does the graph of this function look like?

5 Y 10. 8. 6. 4. 2. 10 8 6 4 2 2 4 6 8 10 x 2. 4. 6. 8. 10. b. What is x when y = 5? 24. The total revenue , where x is the number of years, and the revenue R is in millions of dollars. a. Graph the function. b. Find the total revenue generated by the end of the first year. c. Find the total revenue generated by the end of the fourth year. d. Find the maximum total revenue that can be expected as the years increase.