Solve the cubic equation by factoring. 4x3 â26x2 = â42x. Solve the equation by completing the square. Round to the nearest hundredth if necessary...
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ID: A
Algebra Chapter 9 Test REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question.
1. Is a. b.
2. For which discriminant is the graph possible?
0.49 rational or irrational? rational irrational
a. b. c.
b 2 − 4ac = 0 b 2 − 4ac = 4 b 2 − 4ac = −10
Short Answer
3. Simplify
0.64 .
4. Simplify
100 . 16
5. Between what two consecutive integers is
2 6. Graph f(x) = 2x − 4x + 2 . Label the axis of symmetry and vertex.
58 ?
1
ID: A 7. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
Solve the equation using square roots. 10. x 2 + 5 = 41
11. Find the value of x. If necessary, round to the nearest tenth.
8. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
Solve the equation using the zero-product property. 12. (2x + 2)(5x − 5) = 0
13. 3n(2n − 9) = 0 9. Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function. y = 4x 2 + 5x − 1 Solve the equation by factoring. 14. z 2 − 11z + 28 = 0
2
ID: A 15. 3z 2 − 8z − 16 = 0
21. 2x 2 + 2x − 12 = 0
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 16. c 2 − 1c = 0
22. 2a 2 − 46a + 252 = 0
23. −5y 2 + 5y = −3
17. The area of a playground is 140 yd2. The width of the playground is 4 yd longer than its length. Find the length and width of the playground.
Use any method to solve the equation. If necessary, round to the nearest hundredth. 18. Solve the cubic equation by factoring. 4x 3 − 26x 2 = −42x
24. 9x 2 − 11x − 6 = 0
Solve the equation by completing the square. Round to the nearest hundredth if necessary. 25. 2x 2 = 24
19. x 2 − 4x = 5
26. 2x 2 − 3 = 0
20. x 2 − 4x = 5
3
ID: A 28. x 2 − 25 = 0
Find the number of real number solutions for the equation. 27. x 2 − 9x + 20 = 0
29. x 2 − 5x + 8 = 0
Other Which method(s) would you choose to solve the equation? Justify your reasoning. 30. x 2 + 6x − 2 = 0