Free Printable Completing the Square, Big Review

1.

Evaluate.

a)

2

b)

3

c)

4

d)

5

2.

Evaluate.

a)

2

b)

3

c)

4

d)

5

3.

Evaluate.

a)

2

b)

3

c)

4

d)

5

4.

Evaluate.

a)

2

b)

3

c)

4

d)

5

5.

Evaluate

a)

6

b)

7

c)

8

d)

9

6.

Evaluate

a)

6

b)

7

c)

8

d)

9

7.

Evaluate

a)

6

b)

7

c)

8

d)

9

8.

Evaluate

a)

6

b)

7

c)

8

d)

9

9.

Solve for x.

a)

x=±2

b)

x=±3

c)

x=±4

d)

x=±5

10.

Solve for x.

a)

x=±2

b)

x=±3

c)

x=±4

d)

x=±5

11.

Solve for x.

a)

x=±2

b)

x=±3

c)

x=±4

d)

x=±5

12.

Solve for x.

a)

x=±2

b)

x=±3

c)

x=±4

d)

x=±5

13.

Evaluate

a)

9

b)

16

c)

25

d)

36

14.

Evaluate

a)

9

b)

16

c)

25

d)

36

15.

Evaluate

a)

9

b)

16

c)

25

d)

36

16.

Evaluate

a)

9

b)

16

c)

25

d)

36

17.

Evaluate.

(a)

18.

Evaluate.

(a)

19.

Evaluate.

(a)

20.

Evaluate.

(a)

21.

Evaluate

(a)

22.

Evaluate

(a)

23.

Evaluate

(a)

24.

Evaluate

(a)

25.

Evaluate

(a)

26.

Evaluate

(a)

27.

Evaluate

(a)

28.

Evaluate

(a)

29.

Evaluate.

$3^2+4^2$

(a)

30.

Evaluate.

$2^2+6^2$

(a)

31.

Evaluate.

$2^2+5^2$

(a)

32.

Evaluate.

$2^2+4^2$

(a)

33.

Evaluate.

$2^2+3^2$

(a)

34.

Evaluate.

$1^2+5^2$

(a)

35.

Evaluate.

$1^2+4^2$

(a)

36.

Evaluate.

$1^2+3^2$

(a)

37.

Evaluate.

$1^2+2^2$

(a)

38.

Solve.

a)

b)

c)

d)

39.

Solve.

a)

b)

c)

d)

40.

a)

b)

c)

d)

41.

Solve.

a)

b)

c)

d)

42.

Solve.

a)

b)

c)

d)

43.

Solve.

a)

b)

c)

d)

44.

Solve.

a)

b)

c)

d)

45.

Solve.

a)

b)

c)

d)

46.

If we complete the square,

$y=x^2+2x+3$

becomes

a)

$y=\left(x+1\right)^2+2$

b)

$y=\left(x+1\right)^2+3$

c)

$y=\left(x+2\right)^2+1$

d)

$y=\left(x+2\right)^2+2$

47.

If we complete the square,

$y=x^2+2x+4$

becomes

a)

$y=\left(x+1\right)^2+2$

b)

$y=\left(x+1\right)^2+3$

c)

$y=\left(x+2\right)^2+1$

d)

$y=\left(x+2\right)^2+2$

48.

If we complete the square,

$y=x^2+4x+5$

becomes

a)

$y=\left(x+1\right)^2+2$

b)

$y=\left(x+1\right)^2+3$

c)

$y=\left(x+2\right)^2+1$

d)

$y=\left(x+2\right)^2+2$

49.

If we complete the square,

$y=x^2+4x+6$

becomes

a)

$y=\left(x+1\right)^2+2$

b)

$y=\left(x+1\right)^2+3$

c)

$y=\left(x+2\right)^2+1$

d)

$y=\left(x+2\right)^2+2$

50.

If we complete the square,

$y=x^2+2x+5$

becomes

a)

$y=\left(x+1\right)^2+4$

b)

$y=\left(x+1\right)^2+5$

c)

$y=\left(x+2\right)^2+3$

d)

$y=\left(x+2\right)^2+4$

51.

If we complete the square,

$y=x^2+2x+6$

becomes

a)

$y=\left(x+1\right)^2+4$

b)

$y=\left(x+1\right)^2+5$

c)

$y=\left(x+2\right)^2+3$

d)

$y=\left(x+2\right)^2+4$

52.

If we complete the square,

$y=x^2+4x+7$

becomes

a)

$y=\left(x+1\right)^2+4$

b)

$y=\left(x+1\right)^2+5$

c)

$y=\left(x+2\right)^2+3$

d)

$y=\left(x+2\right)^2+4$

53.

If we complete the square,

$y=x^2+4x+8$

becomes

a)

$y=\left(x+1\right)^2+4$

b)

$y=\left(x+1\right)^2+5$

c)

$y=\left(x+2\right)^2+3$

d)

$y=\left(x+2\right)^2+4$

54.

If we complete the square,

$y=x^2+6x+10$

becomes

a)

$y=\left(x+3\right)^2+1$

b)

$y=\left(x+3\right)^2+2$

c)

$y=\left(x+4\right)^2+1$

d)

$y=\left(x+4\right)^2+2$

55.

Completing the square with this equation gives us which equation?

x²+6x+4=0

a)

x²+6x+9=5

b)

x²+6x+8=4

c)

x²+6x+7=3

d)

x²+6x+6=2

56.

Completing the square with this equation gives us which equation?

x²+8x+6=0

a)

x²+8x+16=10

b)

x²+8x+17=11

c)

x²+8x+15=9

d)

x²+8x+14=8

57.

Completing the square with this equation gives us which equation?

x²+10x+5=0

a)

x²+10x+25=20

b)

x²+10x+20=15

c)

x²+10x+30=25

d)

x²+10x+15=10

58.

Collapsing this equation gives us which new equation?

x²+6x+9=5

a)

(x+3)²=5

b)

(x+6)²=5

c)

(x+9)²=5

59.

Collapsing this equation gives us which new equation?

x²+8x+16=6

a)

(x+2)²=6

b)

(x+4)²=6

c)

(x+8)²=6

d)

(x+16)²=6

60.

Collapsing this equation gives us which new equation?

x²+16x+64=7

a)

(x+2)²=7

b)

(x+4)²=7

c)

(x+8)²=7

d)

(x+16)²=7

61.

If we solve this equation we get what solutions?

(x+3)²=6

a)

x=-3±√6

b)

x=3±√6

c)

x=-3±6

d)

x=3±6

62.

If we solve this equation we get what solutions?

(x-4)²=7

a)

x=4±√7

b)

x=-4±√7

c)

x=2±√7

d)

x=-2±√7

63.

If we solve this equation we get what solutions?

(x+5)²=10

a)

x=5±√10

b)

x=-5±√10

c)

x=10±√5

d)

x=-10±√5

64.

If we solve this equation we get what solutions?

(x-5)²=10

a)

x=5±√10

b)

x=-5±√10

c)

x=10±√5

d)

x=-10±√5

65.

If we solve this equation we get what solutions?

(x+10)²=5

a)

x=5±√10

b)

x=-5±√10

c)

x=10±√5

d)

x=-10±√5

66.

If we solve this equation we get what solutions?

(x-10)²=5

a)

x=5±√10

b)

x=-5±√10

c)

x=10±√5

d)

x=-10±√5

67.

Collapse.

x²+6x+9=2

a)

(x+3)²=2

b)

(x+2)²=3

c)

(x+6)²=2

d)

(x+9)²=3

68.

Collapse.

x²+4x+4=3

a)

(x+3)²=2

b)

(x+2)²=3

c)

(x+6)²=2

d)

(x+9)²=3

69.

Collapse.

x²+12x+36=2

a)

(x+3)²=2

b)

(x+2)²=3

c)

(x+6)²=2

d)

(x+9)²=3

70.

Collapse.

x²+18x+81=3

a)

(x+3)²=2

b)

(x+2)²=3

c)

(x+6)²=2

d)

(x+9)²=3

71.

Collapse.

x²+8x+16=5

a)

(x+4)²=5

b)

(x+5)²=4

c)

(x+8)²=5

d)

(x+10)²=4

72.

Collapse.

x²+10x+25=4

a)

(x+4)²=5

b)

(x+5)²=4

c)

(x+8)²=5

d)

(x+10)²=4

73.

Collapse.

x²+16x+64=5

a)

(x+4)²=5

b)

(x+5)²=4

c)

(x+8)²=5

d)

(x+10)²=4

74.

Collapse.

x²+20x+100=4

a)

(x+4)²=5

b)

(x+5)²=4

c)

(x+8)²=5

d)

(x+10)²=4

75.

Complete the Square

x²+6x+7=0

a)

x²+6x+8=1

b)

x²+6x+9=2

c)

x²+6x+10=3

d)

x²+6x+11=4

76.

Complete the Square

x²+8x+15=0

a)

x²+8x+16=1

b)

x²+8x+17=2

c)

x²+8x+18=3

d)

x²+8x+19=4

77.

Complete the Square

x²+6x+6=0

a)

x²+6x+7=1

b)

x²+6x+8=2

c)

x²+6x+9=3

d)

x²+6x+10=4

78.

Complete the Square

x²+8x+14=0

a)

x²+8x+16=2

b)

x²+8x+17=3

c)

x²+8x+18=4

d)

x²+8x+19=5

79.

Solve for x

$x+3=\pm\sqrt{2}$

a)

x=-3±√2

b)

x=3±√2

c)

x=-2±√3

d)

x=2±√3

80.

Solve for x

x-3=±√2

a)

x=-3±√2

b)

x=3±√2

c)

x=-2±√3

d)

x=2±√3

81.

Solve for x

x+2=±√3

a)

x=-3±√2

b)

x=3±√2

c)

x=-2±√3

d)

x=2±√3

82.

Solve for x

x-2=±√3

a)

x=-3±√2

b)

x=3±√2

c)

x=-2±√3

d)

x=2±√3

83.

Take the square root of both sides.

(x-3)²=5

a)

x-3=±√5

b)

x+3=±√5

c)

x-5=±√3

d)

x+5=±√3

84.

Take the square root of both sides.

(x+3)²=5

a)

x-3=±√5

b)

x+3=±√5

c)

x-5=±√3

d)

x+5=±√3

85.

Take the square root of both sides.

(x-5)²=3

a)

x-3=±√5

b)

x+3=±√5

c)

x-5=±√3

d)

x+5=±√3

86.

Take the square root of both sides.

(x+5)²=3

a)

x-3=±√5

b)

x+3=±√5

c)

x-5=±√3

d)

x+5=±√3

87.

Solve for x

x+5=±√7

a)

x=-5±√7

b)

x=5±√7

c)

x=-7±√5

d)

x=7±√5

88.

Solve for x

x-5=±√7

a)

x=-5±√7

b)

x=5±√7

c)

x=-7±√5

d)

x=7±√5

89.

Solve for x

x+7=±√5

a)

x=-5±√7

b)

x=5±√7

c)

x=-7±√5

d)

x=7±√5

90.

Solve for x

x-7=±√5

a)

x=-5±√7

b)

x=5±√7

c)

x=-7±√5

d)

x=7±√5

91.

Complete and Collapse

x²+10x+23=0

a)

(x+5)²=2

b)

(x+5)²=3

c)

(x+6)²=2

d)

(x+6)²=3

92.

Complete and Collapse

x²+10x+22=0

a)

(x+5)²=2

b)

(x+5)²=3

c)

(x+6)²=2

d)

(x+6)²=3

93.

Complete and Collapse

x²+12x+34=0

a)

(x+5)²=2

b)

(x+5)²=3

c)

(x+6)²=2

d)

(x+6)²=3

94.

Complete and Collapse

x²+12x+33=0

a)

(x+5)²=2

b)

(x+5)²=3

c)

(x+6)²=2

d)

(x+6)²=3

95.

Complete and Collapse

x²+6x+7=0

a)

(x+3)²=2

b)

(x+3)²=3

c)

(x+4)²=2

d)

(x+4)²=3

96.

Complete and Collapse

x²+6x+6=0

a)

(x+3)²=2

b)

(x+3)²=3

c)

(x+4)²=2

d)

(x+4)²=3

97.

Complete and Collapse

x²+8x+14=0

a)

(x+3)²=2

b)

(x+3)²=3

c)

(x+4)²=2

d)

(x+4)²=3

98.

Complete and Collapse

x²+8x+13=0

a)

(x+3)²=2

b)

(x+3)²=3

c)

(x+4)²=2

d)

(x+4)²=3

99.

Complete and Collapse

x²+14x+47=0

a)

(x+7)²=2

b)

(x+7)²=3

c)

(x+8)²=2

d)

(x+8)²=3

100.

Complete and Collapse

x²+14x+46=0

a)

(x+7)²=2

b)

(x+7)²=3

c)

(x+8)²=2

d)

(x+8)²=3

101.

Complete and Collapse

x²+16x+62=0

a)

(x+7)²=2

b)

(x+7)²=3

c)

(x+8)²=2

d)

(x+8)²=3

102.

Complete and Collapse

x²+16x+61=0

a)

(x+7)²=2

b)

(x+7)²=3

c)

(x+8)²=2

d)

(x+8)²=3

103.

If $\left(x+d\right)^2=x^2+2x+1$

Then $d=$

(a)

104.

If $\left(x+d\right)^2=x^2+4x+4$

Then $d=$

(a)

105.

If $\left(x+d\right)^2=x^2+6x+9$

Then $d=$

(a)

106.

If $\left(x+d\right)^2=x^2+8x+16$

Then $d=$

(a)

107.

If $\left(x+d\right)^2=x^2+10x+25$

Then $d=$

(a)

108.

If $\left(x+a\right)^2=x^2+12x+36$

Then $a=$

(a)

109.

If $\left(x+d\right)^2=x^2+14x+49$

Then $d=$

(a)

110.

If $\left(x+d\right)^2=x^2+16x+64$

Then $d=$

(a)

111.

If $\left(x+d\right)^2=x^2+18x+81$

Then $d=$

(a)

112.

If $\left(x+d\right)^2=x^2+20x+100$

Then $d=$

(a)

113.

If $\left(x+1\right)^2=x^2+bx+c$

then which two are correct?

a)

$b=1$

b)

$b=2$

c)

$c=1$

d)

$c=2$

114.

If $\left(x+2\right)^2=x^2+bx+c$

then which two are correct?

a)

$b=2$

b)

$b=4$

c)

$c=2$

d)

$c=4$

115.

If $\left(x+3\right)^2=x^2+bx+c$

then which two are correct?

a)

$b=6$

b)

$b=9$

c)

$c=6$

d)

$c=9$

116.

If $\left(x+4\right)^2=x^2+bx+c$

then which two are correct?

a)

$b=8$

b)

$b=16$

c)

$c=8$

d)

$c=16$

117.

If $\left(x+5\right)^2=x^2+bx+c$

then which two are correct?

a)

$b=10$

b)

$b=25$

c)

$c=10$

d)

$c=25$

118.

If $\left(x+6\right)^2=x^2+bx+c$

then which two are correct?

a)

$b=12$

b)

$b=36$

c)

$c=12$

d)

$c=36$

119.

Which two quadratics are perfect squares?

a)

$x^2+2x+1$

b)

$x^2+2x+2$

c)

$x^2+4x+4$

d)

$x^2+4x+8$

120.

Which two quadratics are perfect squares?

a)

$x^2+6x+6$

b)

$x^2+6x+9$

c)

$x^2+8x+8$

d)

$x^2+8x+16$

121.

Which two quadratics are perfect squares?

a)

$x^2+10x+20$

b)

$x^2+10x+25$

c)

$x^2+12x+24$

d)

$x^2+12x+36$

122.

Which two quadratics are perfect squares?

a)

$x^2+14x+28$

b)

$x^2+14x+49$

c)

$x^2+16x+32$

d)

$x^2+16x+64$

123.

Expand.

(x+1)²

a)

x²+2x+1

b)

x²+x+1

c)

x²-2x+1

d)

x²-x+1

124.

Expand.

(x-1)²

a)

x²+2x+1

b)

x²+x+1

c)

x²-2x+1

d)

x²-x+1

125.

Expand.

(x+2)²

a)

x²+4x+4

b)

x²+8x+4

c)

x²-4x+4

d)

x²-8x+4

126.

Expand.

(x-2)²

a)

x²+4x+4

b)

x²+8x+4

c)

x²-4x+4

d)

x²-8x+4

127.

Expand.

(x+3)²

a)

x²+6x+9

b)

x²+3x+9

c)

x²-6x+9

d)

x²-3x+9

128.

Expand.

(x-3)²

a)

x²+6x+9

b)

x²+3x+9

c)

x²-6x+9

d)

x²-3x+9

129.

Expand.

(x+4)²

a)

x²+8x+16

b)

x²+16x+16

c)

x²-8x+16

d)

x²-16x+16

130.

Expand.

(x-4)²

a)

x²+8x+16

b)

x²+16x+16

c)

x²-8x+16

d)

x²-16x+16

131.

Expand.

(x+5)²

a)

x²+10x+25

b)

x²+5x+25

c)

x²-10x+25

d)

x²-5x+25

132.

Expand.

(x-5)²

a)

x²+10x+25

b)

x²+5x+25

c)

x²-10x+25

d)

x²-5x+25

133.

Expand.

(x+6)²

a)

x²+12x+36

b)

x²+24x+36

c)

x²-12x+36

d)

x²-24x+36

134.

Expand.

(x-6)²

a)

x²+12x+36

b)

x²+24x+36

c)

x²-12x+36

d)

x²-24x+36

135.

Collapse.

x²+2x+1

a)

(x+1)²

b)

(x-1)²

c)

(x+2)²

d)

(x-2)²

136.

Collapse.

x²-2x+1

a)

(x+1)²

b)

(x-1)²

c)

(x+2)²

d)

(x-2)²

137.

Collapse.

x²+4x+4

a)

(x+1)²

b)

(x-1)²

c)

(x+2)²

d)

(x-2)²

138.

Collapse.

x²-4x+4

a)

(x+1)²

b)

(x-1)²

c)

(x+2)²

d)

(x-2)²

139.

Collapse.

x²+6x+9

a)

(x+3)²

b)

(x-3)²

c)

(x+6)²

d)

(x-6)²

140.

Collapse.

x²-6x+9

a)

(x+3)²

b)

(x-3)²

c)

(x+6)²

d)

(x-6)²

141.

Collapse.

x²+12x+36

a)

(x+3)²

b)

(x-3)²

c)

(x+6)²

d)

(x-6)²

142.

Collapse.

x²-12x+36

a)

(x+3)²

b)

(x-3)²

c)

(x+6)²

d)

(x-6)²

143.

Collapse.

x²+8x+16

a)

(x+4)²

b)

(x-4)²

c)

(x+8)²

d)

(x-8)²

144.

Collapse.

x²-8x+16

a)

(x+4)²

b)

(x-4)²

c)

(x+8)²

d)

(x-8)²

145.

Collapse.

x²+16x+64

a)

(x+4)²

b)

(x-4)²

c)

(x+8)²

d)

(x-8)²

146.

Collapse.

x²-16x+64

a)

(x+4)²

b)

(x-4)²

c)

(x+8)²

d)

(x-8)²

Completing the Square, Big Review

Total questions: 146

Worksheet time: 1hrs 21mins

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