Free Printable Chapter 3 Review

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Worksheets

Chapter 3 Review

Total questions: 103

Worksheet time: 3hrs 36mins

Name

Class

Date

1.

Solve Using the Quadratic Formula x² + 4x - 40 = -8

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

2.

Use the quadratic formula to solve 2x² + 2x - 12.

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

3.

Solve 2x² + 7x - 15 = 0

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

4.

Solve: 2x²-8x-24=0

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

5.

Find the value of x using the quadratic formula, if a=1, b=-5, and c=-14.

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

6.

Solve 8x² - 6x = -1

(a)

7.

Solve the quadratic equation. 3x²- 8x - 8 = 0

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

8.

Solve the quadratic equation. 2x² - 2x - 55 = 5

(a)

9.

Solve for x. Round to the nearest hundredth if necessary.
3x² = 16x + 12

(a)

10.

Use the quadratic formula to solve 2x² + 2x - 12.

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

11.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

(a)

12.

Solve x² - 2x - 8 = 0 using the quadratic formula

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

13.

Solve x² - 4x + 4 = 0 using the quadratic formula

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

14.

Solve 2x² - 3x + 1 = 0 using the quadratic formula

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

15.

Use quadratic formula to solve: $x^2+4x+3=0$

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

16.

Use quadratic formula to solve: $8x^2-4x-18=0$

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

17.

Use quadratic formula to solve: $2x^2-3x-15=5$

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

18.

Use quadratic formula to solve: $x^2=9x-20$

(a)

19.

Use quadratic formula to solve: $x^2-4=0$

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

20.

Solve using the quadratic formula...

9x² = 4 + 7x

Round to two decimal places.

Type answer as x=4,5.

No spaces.

(a)

21.

Factor the following quadratic.

2x²+9x+4

Example answer:

(x+4)(x-3)

(a)

22.

Factor the following quadratic.

2x²+11x+12

Example answer:

(x+4)(x-3)

(a)

23.

Factor the following quadratic.

2x²+13x+20

Example answer:

(x+4)(x-3)

(a)

24.

Factor the following quadratic.

2x²+7x-4

Example answer:

(x+4)(x-3)

(a)

25.

Factor the following quadratic.

2x²+5x-12

Example answer:

(x+4)(x-3)

(a)

26.

Factor the following quadratic.

2x²+3x-20

Example answer:

(x+4)(x-3)

(a)

27.

Factor the following quadratic.

3x²+13x+4

Example answer:

(x+4)(x-3)

(a)

28.

Factor the following quadratic.

3x²+14x+8

Example answer:

(x+4)(x-3)

(a)

29.

Factor the following quadratic.

3x²+16x+16

Example answer:

(x+4)(x-3)

(a)

30.

Factor the following quadratic.

3x²+17x+20

Example answer:

(x+4)(x-3)

(a)

31.

Factor the following quadratic.

3x²+11x-4

Example answer:

(x+4)(x-3)

(a)

32.

Factor the following quadratic.

3x²+10x-8

Example answer:

(x+4)(x-3)

(a)

33.

Factor the following quadratic.

3x²+8x-16

Example answer:

(x+4)(x-3)

(a)

34.

Factor the following quadratic.

3x²+7x-20

Example answer:

(x+4)(x-3)

(a)

35.

Factor the following quadratic.

4x²+17x+4

Example answer:

(x+4)(x-3)

(a)

36.

Factor the following quadratic.

4x²+19x+12

Example answer:

(x+4)(x-3)

(a)

37.

Factor the following quadratic.

4x²+21x+20

Example answer:

(x+4)(x-3)

(a)

38.

Factor the following quadratic.

4x²+15x-4

Example answer:

(x+4)(x-3)

(a)

39.

Factor the following quadratic.

4x²+13x-12

Example answer:

(x+4)(x-3)

(a)

40.

Factor the following quadratic.

4x²+11x-20

Example answer:

(x+4)(x-3)

(a)

41.

What is the y-intercept of the following function?

f(x)=3x²

Your answer should be a point.

(a)

42.

What is the y-intercept of the following function?

f(x)=-6x²

Your answer should be a point.

(a)

43.

What is the y-intercept of the following function?

f(x)=x²-4x

Your answer should be a point.

(a)

44.

What is the y-intercept of the following function?

f(x)=-x²-3x+4

Your answer should be a point.

(a)

45.

What is the y-intercept of the following function?

f(x)=4x²-6x-3

Your answer should be a point.

(a)

46.

What is the y-intercept of the following function?

f(x)=2x²-8x+5

Your answer should be a point.

(a)

47.

What is the vertex for the following function?

f(x)=2x²-8x+5

Your answer should be a point.

(a)

48.

What is the vertex for the following function?

f(x)=4x²-6x-3

Your answer should be a point. Use decimals

(a)

49.

What is the vertex for the following function?

f(x)=-x²-3x+4

Your answer should be a point. Use decimals.

(a)

50.

What is the vertex for the following function?

f(x)=x²-4x

Your answer should be a point.

(a)

51.

What is the vertex for the following function?

f(x)=-6x²

Your answer should be a point.

(a)

52.

What is the vertex for the following function?

f(x)=3x²

Your answer should be a point.

(a)

53.

What is the y-intercept of the following function?

f(x)=-4x²+10x-6

Your answer should be a point.

(a)

54.

What is the y-intercept of the following function?

f(x)=3x²+8x+5

Your answer should be a point.

(a)

55.

What is the y-intercept of the following function?

f(x)=x²+3x-12

Your answer should be a point.

(a)

56.

What is the y-intercept of the following function?

f(x)=-x²+6x-1

Your answer should be a point.

(a)

57.

What is the graph for the following function?

f(x)=-2x²-8x-3

a)

b)

c)

d)

58.

What is the graph for the following function?

f(x)=-2x²+8x-3

a)

b)

c)

d)

59.

What is the graph for the following function?

f(x)=2x²+8x+3

a)

b)

c)

d)

60.

What is the graph for the following function?

f(x)=2x²-8x+3

a)

b)

c)

d)

61.

Solve by graphing.

x²+8x=0

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

62.

Solve by graphing.

x²-3x-18=0

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

63.

Solve by graphing.

x²-6x+4=-8

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

64.

Solve by graphing.

9-x²=12

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

65.

Solve by graphing.

x²+4x-5=0

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

66.

Solve by graphing.

x²+3x-8=2

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

67.

Solve by graphing.

x²+2x=15

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

68.

Solve by graphing.

x²+x-5=15

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

69.

Solve by graphing.

x²+4x+4=0

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

70.

Solve by graphing.

x²+5x+3=-3

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

71.

Solve by graphing.

x²+6x+5=-3

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

72.

Solve by graphing.

x²+7x+6=-4

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

73.

Solve by graphing.

x²+7x+6=-6

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

74.

Solve by graphing.

x²+8x+15=0

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

75.

Solve by graphing.

x²+2x-3=0

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

76.

Solve by graphing.

x²+x-6=0

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

77.

Solve by graphing.

x²-9=0

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

78.

Solve by graphing.

x²-x-11=1

Example answer: x=4,-6 no spaces.

If there is no solution, write "no solutions"

(a)

79.

Simplify $\frac{4-9i}{4+14i}$

a)

$\frac{-7}{53}+\frac{49i}{106}$

b)

$\frac{4}{15}-\frac{3i}{5}$

c)

$-\frac{55}{106}-\frac{23i}{53}$

d)

$\frac{4}{21}-\frac{3i}{7}$

80.

Simplify $\frac{8+5i}{1-7i}$

a)

$\frac{-3+76i}{65}$

b)

$\frac{11+77i}{50}$

c)

$\frac{-11-5i}{7}$

d)

$\frac{-27+61i}{50}$

81.

Simplify $\frac{-4+12i}{-9+5i}$

a)

$\frac{-27-15i}{53}$

b)

$\frac{48-44i}{53}$

c)

$\frac{7}{4}-3i$

d)

$\frac{108-124i}{169}$

82.

Simplify $\frac{5}{-1-9i}$

a)

$\frac{-2+18i}{41}$

b)

$\frac{-5+45i}{82}$

c)

$\frac{-5+45i}{86}$

d)

$\frac{-2+9i}{17}$

83.

Simplify $\frac{1}{-10+12i}$

a)

$\frac{-11-12i}{265}$

b)

$-\frac{15}{122}-\frac{9i}{61}$

c)

$-\frac{5}{122}-\frac{3i}{61}$

d)

$\frac{5+6i}{61}$

84.

(8 - 9i) + (5 + 6i)

a)

3 + 15i

b)

13 + 3i

c)

-13 + 3i

d)

13 - 3i

85.

(7 + 9i) - (-5 + i)

a)

2 + 10i

b)

-12 - 8i

c)

12 - 8i

d)

12 + 8i

86.

(3 - 3i)(5 - 7i)

a)

-6 - 36i

b)

$21i^2-36i+15$

c)

36 + 6i

d)

-6 + 36i

87.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

88.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

89.

Find the product
(1+3i)(2-i)

a)

5+5i

b)

5-5i

c)

2-3i

d)

5+7i

90.

Simplify:
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

91.

Simplify:
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

92.

Simplify (11 + 5i)(11 - 5i)

a)

121 -110i

b)

121 + 110i

c)

146

d)

121 - 25i²

93.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

94.

Solve the following quadratics equation by completing the square...

x² + 12x + 8= 0

a)

x = -6 ± 2√7

b)

x = 6 ± 2√7

c)

x = 28 ± √6

d)

x = -28 ± √6

95.

Solve the equation by completing the square and then finding the roots.
x²+ 6x - 4 = 36

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

96.

Solve by method of your choice.

x² + 10x = -9

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

97.

Solve. x² + 4x - 16 = 0

a)

b)

c)

d)

98.

Find the last term:

x^2+22x+c

a)

22

b)

11

c)

121

d)

44

99.

Find the last term:

x^2-8x+c

a)

8

b)

4

c)

-16

d)

16

100.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

p^2+14p+c

a)

$49;\ \left(p+7\right)^2$

b)

$7;\ \left(p+7\right)^2$

c)

$49;\ \left(p+14\right)^2$

d)

$7;\ \left(p+49\right)^2$

101.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

x^2-2x+c

a)

$1;\ \left(x-2\right)^2$

b)

$4;\ \left(x-2\right)^2$

c)

$1;\ \left(x-1\right)^2$

d)

$4;\ \left(x-1\right)^2$

102.

Solve by completing the square.
y² + 10y = -9

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

103.

Solve by completing the square.
$x^2-6x-27=0$

a)

$x=\left\{-9,\ -3\right\}$

b)

$x=\left\{-3,\ 9\right\}$

c)

$x=\left\{-9,\ 3\right\}$

d)

$x=\left\{3,\ 9\right\}$

Reset

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