Download Chapter 5 Exam (Version 1)

ALGEBRA 2
CHAPTER 3
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For problems 1 – 2, solve the equation by graphing.
1. 0 = -x2 + 2x + 3
2. -(x+3)2 + 1 = 0
For problems 3 – 6, solve the equation using square-roots.
3. 3x2 – 4 = 8
4. (x – 6)2 = 25
5. 4(x – 1)2 + 2 = 10
6. (x + 4)2 + 4 = 0
For problems 7-12, solve the equation by factoring.
7. 0 = x2 – 4x + 4
8. x2 + x = 6
9. m2 + 4m = 0
For problems 7-12, solve the equation by factoring.
10. x 2 – 121 = 0
11. 9x2 – 24x + 16 = 0
12. 2x2 – 17x = -30
For problems 13-15, perform the operation on each complex number.
13. (-2 + 3i) + (7 – 6i)
14. (9 + 3i) – (-2 – 7i)
15. (3 – 4i)(3 + 4i)
For problems 16 - 18, solve the equation using the Quadratic Formula.
16. –x2 + 5x = 2
17. –x2 + 4x = 5
18. 3x2 – 12x + 13 = 0
For problems 19 – 20, solve the equation by completing the square.
19. x2 + 16x + 17 = 0
20. 4x2 + 16x + 25 = 0
Solve the system by the elimination method.
21. 2x2 – 8x + y = -5
2x2 – 16x – y = -31
Solve the system by the substitution method.
22. 2x2 – y – 2 = 0
y = -2x + 2
23. A golf ball is hit from the ground, and its height can be modeled by the equation h(t) = -16t2 + 128t, where h(t) represents
the height (in feet) of the ball t seconds after contact. What will the maximum height of the ball be?