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Algebra II Test #3 Review Sheet Name: Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. The function models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second. a. 6.67 seconds c. 9.43 seconds b. 0.25 seconds d. 4.72 seconds ____ 2. Identify the vertex and the axis of symmetry of the graph of the function a. vertex: (–3, –3); axis of symmetry: b. vertex: (–3, 3); axis of symmetry: c. vertex: (3, 3); axis of symmetry: d. vertex: (3, –3); axis of symmetry: . ____ 3. a. 121i b. 11 Simplify the number using the imaginary unit i. c. 11i d. ____ a. b. 4. Simplify the number using the imaginary unit i. c. d. ____ 5. A historian took a count of the number of people in a Gold Rush town for six years in the 1870’s. 1870 1871 1872 1873 1874 1875 1876 Year Population 400 416 422 418 404 380 346 Find a quadratic function that models the data as a function of x, the number of years since 1870. Use the model to estimate the number of people in the town in 1878. a. b. c. d. ; 154 people ; 302 people ; 248 people ; 118 people Algebra II Test #3 Review Sheet ____ 6. a. 2 3 b. 3 Use the Quadratic Formula to solve the equation. c. 3 ____ 7. a. 18, 2 b. 54, 46 Use the Quadratic Formula to solve the equation. c. 1, 9 d. 9, 1 ____ Factor. 8. d. a. b. c. d. ____ a. b. 9. ____ 10. Factor. c. d. Simplify the expression. a. c. b. d. ____ a. b. 11. ____ a. b. 12. Simplify the expression. c. d. Simplify the expression. c. d. 3 2 Name: Algebra II ____ 13. Test #3 Review Sheet Simplify the expression. a. c. b. d. ____ a. b. 14. ____ 15. Name: Simplify the expression. c. d. What value completes the square for the expression? a. b. ____ c. 6 d. 36 ____ 16. Suppose a parabola has vertex (7, –1) and also passes through the point (8, 2). Write the equation of the parabola in vertex form. a. c. b. d. ____ 17. What is the vertex form of the equation? a. b. c. d. ____ 18. Graph. ____ 19. What is the number of real solutions? a. one solution b. cannot be determined Make sure to show your table of three values (vertex and two other points). c. two solutions d. no real solutions Algebra II ____ 20. Test #3 Review Sheet Name: What is the number of real solutions? a. two real solutions b. cannot be determined c. one real solution d. no real solutions ____ 21. Graph . Make sure to show your table of three values (vertex and two other points). ____ a. b. 22. 4 Solve the quadratic equation by completing the square. c. d. 4 ____ 23. Use the vertex form to write the equation of the parabola. y 8 6 4 2 –8 –6 –4 –2 O –2 2 4 6 8 x –4 –6 –8 a. c. b. d. Algebra II ____ a. 24. Test #3 Review Sheet Name: Rewrite the equation in vertex form. Name the vertex and y-intercept. c. vertex: (–4, –9) y-intercept: (0, –9) b. vertex: (2, – 9) y-intercept: (0, –5)1 d. vertex: (2, – 9) y-intercept: (0, –5) vertex: (–4, –9) y-intercept: (0, –9) ____ 25. What steps transform the graph of to ? a. reflect across the x-axis, translate 3 units to the right, translate down 4 units, stretch by the factor 3 b. reflect across the x-axis, translate 3 units to the left, translate up 4 units, stretch by the factor 3 c. translate 3 units to the left, translate up 4 units, stretch by the factor 3 d. translate 3 units to the right, translate down 4 units, stretch by the factor 3 26. ____ Solve the system of inequalities by graphing. 27. (–4, –1) (–1, –4) b. (–3, –1) (–2, –2) a. Solve the system of equations by graphing. c. (–4, 1) (–1, 4) d. (–3, 1) (–2, 2) Algebra II ____ a. b. 28. ____ a. b. 29. Test #3 Review Sheet Factor. c. d. ____ 30. a. 5, –3 b. -5, –3 Factor. c. d. Solve by graphing. c. –5, 3 d. –5, 3 Name: Algebra II Test #3 Review Sheet ANSWER KEY 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: D A C D C D D A C C A D C B D A D y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 18. 19. ANS: D 20. ANS: A 1 2 3 4 5 x Name: Algebra II Test #3 Review Sheet y 4 2 –4 –2 2 4 x 2 4 x –2 –4 21. 22. 23. 24. 25. ANS: ANS: ANS: ANS: C A B B y 4 2 –4 –2 O –2 –4 26. 27. 28. 29. 30. ANS: ANS: ANS: ANS: C A A A Name: