Quadratic Equations
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1. Solve by completing the square.
x2 + 6x - 27 = 0
A) 9, -3
B) -9, -3
C) 9, 3
D) -9, 3
2. Solve by using the quadratic formula. x2 + 4x + 3 = 0
3. Solve. x2 + 2x - 24 = 0
A) 6, -4
B) -6, -4
C) 6, 4
D) -6, 4
4. Is the following trinomial a perfect square?
x2 + 18x + 81
A) Yes
B) No
5. Solve by completing the square.
2x2 + 4x + 1 = 0
6. Match the graph with its equation.
A) y = -x2 - 1
B) y = -x2 + x
C) y = -x2 + 1
D) y = -x2 + 2x
7. Solve. (x - 2)2 = 6
A) ±38
B)
C)
D)
8. Solve. (x - 3)2 = 81
9. Solve. x2 = 11
10. Graph the quadratic equation after completing the given table of values. y = x2 + 2
x y
-2
-1
0
1
2
11. The length of a rectangle is 5 cm more than 3 times its width. If the area of the rectangle is 92 cm2, find the dimensions of the rectangle to the nearest thousandth.
12. Is the following trinomial a perfect square?
x2 - 12x - 36
A) Yes
B) No
13. Solve. x2 - 48 = 0
14. Solve. -9(x - 3)2 = -7
15. Find the axis of symmetry.
y = x2 - 7x - 4
A) x =
B) x =
C) x = 7
D) x = -7
16. Solve by completing the square.
x2 = 5x + 2
A)
B)
C)
D)
17. Solve. (x - 4)2 = 6
A) ±40
B)
C)
D)
18. Solve. 9x2 = 14
A)
B)
C)
D)
19. Solve by using the quadratic formula. 4x2 + 5x + 11 = 0
20. Solve. x2 + 6 = 22
A)
B)
C) ±4
D)
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Solution Summary
Twenty problems involving quadratic equations are solved. The solution is detailed and well presented.
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