Name: ________________________________________________ Date: ______________________ Period: _______
Chapter 9 Test REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which equation corresponds to the graph shown?
a. b. c. d.
4. What are the root(s) of the quadratic equation whose related function is graphed below?
y = x2 – 3x – 10 y = x2 + 7x + 10 y = x2 – 10x + 6 y = x2 – 11x – 10
a. b. c. d.
2. Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = –x2 – 10x + 17. a. x = –5; (–5, –8) b. x = –5; (–5, 42) c. x = 5; (5, 92) d. x = 5; (5, 32)
4, 0 –2, 3 2, 3 –4, 0
5. One root of the quadratic equation whose related function is graphed lies between which consecutive integers?
3. Find the coordinates of the vertex of the graph of y = 3x2 – 6. Identify the vertex as a maximum or a minimum. a. (0, –6); maximum b. (–6, 0); minimum c. (0, –6); minimum d. (6, 0); minimum
a. b. c. d.
–4 and –3 0 and 1 –5 and –4 –3 and –2
6. Solve b2 – 16b + 64 = 9 by taking the square root of each side. a. –5, –11 b. 17 c. ±17 d. 5, 11
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Name: ________________________ 9. d2 + 4 = 6d a. –5.2, –0.8 b. –6.6, 0.6 c. –0.6, 6.6 d. 0.8, 5.2
7. What value of c makes x2 -10x + c a perfect square trinomial? a. 1 b. 25 c. 144 d. 9
10. Determine the number of real roots of 6x2 + 19x + 14. a. 2 b. infinitely many c. 1 d. none
Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary. 8. 3x2 – 11x – 4 = 0 1 a. −4, 3 b. 0.4, 3.3 1 c. − ,4 3 d. –3.3, –0.4
11. State the value of the discriminant for 3b2 + 6b = 10. a. –84 b. 156 c. 126 d. 12.5
Short Answer 12. Write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of y = 2x2 – 8x + 3. Identify the vertex as a maximum or a minimum.
Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary. 19. 4v2 + 100 = 40v
13. Write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of y = –2x2 + 4x – 5. Identify the vertex as a maximum or a minimum.
20. d2 – 14d + 22 = 0 21. 4n 2 − 20n + 25 = 0
Use a table of values to graph each function.
State the value of the discriminant for each equation. Then determine the number of real roots of the equation.
14. y = x2 – 7x + 12 15. y = 4x2 – 8x
22. 3b2 + 10 = –8b
Solve each equation by completing the square. Round to the nearest tenth if necessary.
23. 9a2 = 6a – 1 24. Find the value of c that makes x 2 − 12x + c = 0 a perfect square.
16. x2 + 3x = 10 17. x2 - 19x + 4= 0
25. Find the value of c that makes x 2 + 6x + c = 0 a perfect square.
18. p2 – 12p + 9 = 0
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