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Quadratic Equations (21 Problems)

1. Solve. 5(x - 2)2 = 3

A) B) C) D)

2. Is the following trinomial a perfect square?
x2 - 2x + 1

A) Yes B) No

3. Find the constant term that should be added to make the following expression a perfect-square trinomial.
x2 + 8x

4. Solve by completing the square.
x2 + 4x + 3 = 0

A) 1, 3 B) -1, 3 C) 1, -3 D) -1, -3

5. Solve by completing the square.
x2 = 5x + 2

A) B) C) D)

6. Solve by using the quadratic formula. x2 = 3x + 12

A) B) C) D)

7. Solve by using the quadratic formula. 5x2 - 7x = 1

A) B) C) D)

8. Solve. (x + 3)2 = 6

A) ±33 B) C) D)

9. Solve. x2 + 5x - 9 = 0

A) B) C) D)

10. Graph the quadratic equation after completing the given table of values. y = x2 - 1

x y
-2
-1
0
1
2

11. Graph the quadratic equation after completing the given table of values. y = x2 - 2x

x y
-1
0
1
2
3

12. Graph the quadratic equation after completing the given table of values. y = x2 + 2x - 3

x y
-3
-2
-1
0
1

13. Graph the quadratic equation after completing the given table of values. y = -x2 + 1

x y
-2
-1
0
1
2

14. Match the graph with its equation.

A) y = -x2 - 1 B) y = -x2 + x C) y = -x2 + 1 D) y = -x2 + 2x

15. Find the axis of symmetry.
y = x2 + x + 1

A) x = B) x = C) x = -1 D) x = 1

16. Find the x-intercepts.
y = x2 + 2x - 8

17. Find the x-intercepts.
y = x2 - 5x - 10

A)
C)

B)
D)

18. Find the x-intercepts.
y = x2 - 2x + 4

19. A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?

A) 7.720 ft B) 5.430 ft C) 3.860 ft D) 2.610 ft

20. The demand and supply equations for a certain item are given by
D = -5p + 40
S = -p2 + 30p - 8
Find the equilibrium price.

A) $1.29 B) $1.43 C) $1.57 D) $1.71

21.
a.

b.

c.

d.

Solution Final Answer
a.
b.
c.
d.

21.

Attachments

Solution Summary

Twenty-one quadratic equations problems are solved.

$2.19