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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)

Solution Summary

Twenty problems involving quadratic equations are solved. The solution is detailed and well presented.

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