Free Printable A2-CHAPTER 3 TEST 2025-26

1.

3x² = 12

a)

± 2

b)

2

c)

± √12

d)

± 4

2.

7x² + 1 = 8

a)

± 1

b)

± 7

c)

± √7

d)

± 8

3.

Solve by taking square roots:
5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no solution

4.

Solve the equation using square root method.

$-9x^2=81$

a)

x = 3 or x = -3

b)

no solutions

c)

x = 6 or x = -6

d)

x = 3

5.

Which of the following is a solution for the equation $36n^2-13=12$ ?

a)

$\frac{5}{6}$

b)

$\frac{6}{5}$

c)

$\frac{1}{6}$

d)

$5$

6.

Solve by taking square roots:
5m² + 1 = 6

a)

m = 0

b)

m = 1 or -1

c)

m = √7

d)

m = 7/5 m = -7/5

7.

Solve by taking square roots:
5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no solutionb

8.

Solve By Square Roots:

$49x^2+3=7$

a)

$\pm\frac{2}{7}$

b)

$\pm\frac{7}{2}$

c)

$\pm\frac{1}{7}$

d)

$\pm\frac{4}{49}$

9.

Solve the equation using square root method. $-9x^2=81$

a)

x = 3 or x = -3

b)

no real number solutions

c)

x = 6 or x = -6

d)

x = 3

10.

Solve the equation using square root method.

$\ n^2-10=-10$

a)

x = 0

b)

no solutions

c)

x = 4 or x = -4

d)

x = 4

11.

Solve the equation using square root method.

$\ 16x^2+3=12$

a)

$x\ =\ \frac{9}{16}\ or\ x\ =-\frac{9}{16}$

b)

no solutions

c)

$x=3\ \ or\ x=-3$

d)

$x=\frac{3}{4}\ \ \ or\ \ \ x\ =-\frac{3}{4}$

12.

x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

13.

3x² = 12

a)

± 2

b)

2

c)

± √12

d)

± 4

14.

-5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

15.

x² - 4 = 77

a)

9

b)

-9

c)

No Real Solutions

d)

±9

16.

x² + 1 = 9

a)

± √8

b)

± 4

c)

± 8

d)

± 3

17.

Solve:

$x^2+5=-9$

a)

$i\sqrt[\ ]{14}$

b)

$\pm4i\ \sqrt[]{3}$

c)

$\pm i\ \sqrt[\ \ ]{14}$

d)

$\pm4$

18.

$x^2+7=-13$

a)

$\pm i\ \sqrt[]{6}$

b)

$\pm2i\ \sqrt[]{5}$

c)

$\pm2i\ \sqrt[]{6}$

d)

$2i\ \sqrt[]{5}$

19.

$-8x^2=320$

a)

$\pm i\ \sqrt[]{11}$

b)

$\pm2i\ \sqrt[]{10}$

c)

$\pm i\ \sqrt[]{29}$

d)

$\pm i\ \sqrt[]{11}$

20.

$x^2-1=-5$

a)

$\pm2i\ \sqrt[]{3}$

b)

$\pm2i$

c)

$\pm6$

d)

$\pm i\ \sqrt[]{6}$

21.

$4x^2-10=246$

a)

$\pm8$

b)

$\pm2\sqrt[]{5}$

c)

$59$

d)

$\pm64$

22.

$7x^2-10=67$

a)

$\pm\sqrt[]{11}$

b)

$\sqrt[]{11}$

c)

$\pm11$

d)

$\pm4i\ \sqrt[]{3}$

23.

$2x^2-1=85$

a)

$\pm4$

b)

$\pm9$

c)

$\pm89$

d)

$\pm\sqrt[]{43}$

24.

$2-2x^2=0$

a)

$\pm i$

b)

$\pm3$

c)

$\pm1$

d)

$\pm9$

25.

$5-2x^2=-69$

a)

$\pm\sqrt[]{37}$

b)

$\sqrt[]{37}$

c)

$\pm37$

d)

$\pm4\sqrt[]{2}$

26.

$3x^2+10=-35$

a)

$\pm15$

b)

$\pm\frac{15}{3}$

c)

$\pm\sqrt[]{15}$

d)

$\pm i\ \sqrt[]{15}$

27.

Determine how many solutions:

a)

One Solution

b)

Two Solutions

c)

No Solutions

d)

Infinitely Many Solutions

28.

What is the greatest number of solutions that a Quadratic Equation can have?

a)

0

b)

1

c)

2

d)

3

29.

True or false: The solution, x-intercept, and zero of a problem are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

30.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

31.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

32.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

33.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

34.

The following quadratic has how many zeros?

a)

0

b)

1

c)

2

d)

3

35.

The following quadratic has how many zeros?

a)

0

b)

1

c)

2

d)

3

36.

What are the x-intercepts (zeros)?

a)

(-2,0) and (2,0)

b)

(0,2) and (0,-2)

c)

(0,-4)

d)

(-2,-4) and (2,-4)

37.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

38.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

39.

The x-intercepts of a quadratic equation are known as the _____.

a)

vertices

b)

squares

c)

zeros

d)

formulas

40.

Solve for X:

(x - 5)(x + 6) = 0

a)

{5, 5 }

b)

{ -5, -5 }

c)

{ -5, -6 }

d)

{5, -6 }

41.

Which equation matches these solutions? x = 5, -7

a)

(x + 5)(x - 7) = 0

b)

(x - 5)(x + 7) = 0

c)

(x + 5)(x + 7) = 0

d)

(x - 5)(x - 7) = 0

42.

How would you write the following roots as factors:

x = 4 and x = -2

a)

(x + 4)(x - 2)

b)

(x - 4)(x - 2)

c)

(x + 4)(x + 2)

d)

(x - 4)(x + 2)

43.

Multiply the following factors:

(x + 2)(x + 3)

a)

x² + 2x + 3

b)

x² + 5x + 3

c)

x² + 3x + 6

d)

x² + 5x + 6

44.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

45.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

46.

Solve and find your x-intercepts:
0=x(x - 6)

a)

x=0 and x=-6

b)

x=1 and x=-6

c)

x=0 and x=6

d)

x=6

47.

Solve and find your zeros:
z(z - 15)=0

a)

z=0 and z=15

b)

z=0 and z=-15

c)

z=-15

d)

z=15

48.

What are the zeros of (2x+5)(x-6)=?

a)

-6, 5/2

b)

-5/2, 6

c)

6, 2

d)

5, -6

49.

Solve for X:

(x-5)(x+6)=0

a)

{5,5 }

b)

{ -5,-5 }

c)

{ -5,-6 }

d)

{5,-6 }

50.

Solve for x: x(x-3)(x-4) = 0

a)

{0,3,4 }

b)

{3,4 }

c)

{ 0,-3,-4 }

d)

{ }

51.

(4x+8)(8x-16)=0

a)

{2}

b)

{-2}

c)

{-2,2}

d)

{0,-2,2}

52.

Solve for x: (x - 7)(x + 2)

a)

-7, 2

b)

7, -2

c)

7, 2

d)

-7, -2

53.

Solve for x: (2x - 6)(x + 1)

a)

-6, 1

b)

3, -1

c)

-3, 1

d)

-3, -1

54.

x²+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

55.

x²-14x-51=0

a)

x= 17, -3

b)

x= -17, 3

c)

x= -17, -3

56.

x²=18x-81

a)

x= -9, -9

b)

x= 9, 9

c)

x= -9, 9

57.

4x²+7x-17=3x²+12x-3

a)

x= -7, -2

b)

x= 7, -2

c)

x= -7, 2

58.

3x²+9x-30=0

a)

x= 2, -5

b)

x= 5, -2

c)

x= -5, -2

59.

5x²-25x=5x-40

a)

x= -4, -2

b)

x= -4, 2

c)

x= 4, 2

60.

6x²-x-2=0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

61.

x²-7x=0

a)

x= 0, -7

b)

x= 0, 7

62.

3x²-48=0

a)

x= 4, 4

b)

x= -4, -4

c)

x= -4, 4

63.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

64.

What are the factors AND solutions of x² + 2x – 3 = 0

a)

(x - 2)(x + 1); x=2, x=-1

b)

(x + 1)(x - 3); x=-1, x=3

c)

(x + 2)(x - 1); x=-2, x=1

d)

(x - 1)(x + 3); x=1, x=-3

65.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

66.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

67.

Solve for x by factoring.
x² -8x +12=0

a)

-6, -2

b)

-2, 6

c)

2, 6

d)

-6, 2

68.

$3p^2-17p=30-8p$

a)

$\left\{3,5,-2\right\}$

b)

$\left\{2,-5\right\}$

c)

$\left\{-2,5\right\}$

d)

$\left\{-6,15\right\}$

69.

Factor and solve:

z² − 14z + 45 = 0

a)

z = 1, 45

b)

z = −1, 45

c)

z = −5, 9

d)

z = 5, 9

70.

Select the solution(s) for the quadratic: $x^2-11x+19=-5$

a)

3

b)

8

c)

-9

d)

-3

71.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

72.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

73.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

74.

Complete the Square
x² + 10x + ____

a)

x² + 10x - 100

b)

x² + 10x + 100

c)

x² + 10x - 25

d)

x² + 10x + 25

75.

Create a Perfect Square Trinomial
x²+ 22x + ____

a)

11

b)

- 11

c)

121

d)

-121

76.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

77.

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

a)

4

b)

16

c)

64

d)

-16

78.

What value of c would make this a perfect square trinomial?
x² + 2x + c

a)

2

b)

4

c)

-2

d)

1

79.

What value of c would make this a perfect square trinomial?
x²- 12x + c

a)

36

b)

24

c)

144

d)

-36

80.

Answer the question.

a)

b)

c)

d)

81.

Complete the square $x^2+10x+?$

(What number should replace the question mark)

a)

-100

b)

100

c)

-25

d)

25

82.

Complete the square

$x^2-4x+?$

(What number should replace the question mark?

a)

4

b)

-4

c)

16

d)

-16

83.

Find the last term:

x^2+22x+c

a)

22

b)

11

c)

121

d)

44

84.

Find the last term:

x^2-8x+c

a)

8

b)

4

c)

-16

d)

16

85.

Find the last term:

x^2-16x+c

a)

8

b)

64

c)

-16

d)

16

86.

Find the last term:

x^2+34x+c

a)

289

b)

17

c)

34

d)

-34

87.

Find the last term:

x^2+30x+c

a)

30

b)

15

c)

225

d)

-15

88.

Find the last term:

x^2+4x+c

a)

4

b)

2

c)

-2

d)

-4

89.

Find the last term:

x^2-6x+c

a)

-9

b)

9

c)

6

d)

-6

90.

Find the last term:

x^2+42x+c

a)

-9

b)

21

c)

441

d)

1764

91.

Find the last term:

x^2-28x+c

a)

14

b)

200

c)

169

d)

196

92.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

93.

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

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

94.

Solve by completing the square.
2x² + 12x = -10

a)

No Solution

b)

-5

c)

-1 and 5

d)

-1 and -5

95.

Solve by completing the square. Round.
x² - 16x = -28

a)

12 and 2

b)

14 and 12

c)

12 and 4

d)

14 and 2

96.

Solve by completing the square:
k² − 12k + 23 = 0

a)

{6 + √13, 6 - √13}

b)

{-6 + √13, -6 - √13}

c)

{6 + √59, 6 - √59}

d)

{-6 + √59, -6 - √59}

97.

When do you use the plus or minus symbol?
±

a)

After taking the square root of both sides

b)

After adding the square to both sides

c)

After taking half of b

d)

After setting the equation equal to zero

98.

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

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

99.

Solve the equation:
5x² - 35x + 60 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

100.

Solve the equation:
4x²+2x - 6 = 0

a)

x = 1 & -1.5

b)

x = -1 & 1.5

c)

x = (-2 ±√92)/8

d)

x = (-2 ± √100)/8

101.

Solve by completing the square.
$x^2-4x-20=0$

a)

$x=\left\{\pm6\sqrt{2}-2\right\}$

b)

$x=\left\{\pm6\sqrt{2}+2\right\}$

c)

$x=\left\{\pm2\sqrt{6}+2\right\}$

d)

$x=\left\{\pm2\sqrt{6}-2\right\}$

102.

Solve by completing the square.
$x^2-8x-20=0$

a)

$x=\left\{-2,\ 10\right\}$

b)

$x=\left\{-10,\ 2\right\}$

c)

$x=\left\{-20,\ -8\right\}$

d)

$x=\left\{8,\ 20\right\}$

103.

$x^2-11=6x$

Solve & leave in simplest radical form

a)

$3\pm\sqrt{20}$

b)

$6\pm\sqrt{11}$

c)

$3\pm2\sqrt{5}$

d)

$6\pm3\sqrt{2}$

104.

Solve by Completing the Square

2x^2\ +\ 12x\ =\ -6

a)

$-3\pm\sqrt{6}$

b)

$-6\pm\sqrt{3}$

c)

$3\ \pm\sqrt{12}$

d)

$-3\pm\sqrt{3}$

105.

Solve by completing the square.
$x^2-6x-59=0$

a)

$x=\left\{\pm2\sqrt{17}+3\right\}$

b)

$x=\left\{\pm17\sqrt{2}+3\right\}$

c)

$x=\left\{\pm2\sqrt{17}-3\right\}$

d)

$x=\left\{\pm17\sqrt{2}-3\right\}$

106.

Solve. x² + 4x - 16 = 0

a)

b)

c)

d)

107.

Solve by completing the square.
$x^2-4x-21=0$

a)

$x=\left\{-7,\ 3\right\}$

b)

$x=\left\{3,\ 7\right\}$

c)

$x=\left\{-3,\ 7\right\}$

d)

$x=\left\{-7,\ -3\right\}$

108.

Solve by completing the square.
$x^2-8x-14=0$

a)

$x=\left\{\pm\sqrt{30}+4\right\}$

b)

$x=\left\{\pm\sqrt{4}+30\right\}$

c)

$x=\left\{\sqrt{30}+4\right\}$

d)

$x=\left\{\sqrt{30}-4\right\}$

109.

Solve by completing the square.
$x^2-16x+48=0$

a)

$x=\left\{-12,\ 4\right\}$

b)

$x=\left\{-12,\ -4\right\}$

c)

$x=\left\{-4,\ 12\right\}$

d)

$x=\left\{4,\ 12\right\}$

110.

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

x² - 10x - 5 = 0

a)

x = -5 ± √30

b)

x = 5 ± √30

c)

x = 30 ± √5

d)

x = -30 ± √5

111.

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

x² + 6x - 3 = 0

a)

$-3\pm2\sqrt{3}$

b)

$3\pm2\sqrt{3}$

c)

$12\pm\sqrt{3}$

d)

$-12\pm\sqrt{3}$

112.

Solve by completing the square.
x² +12x = 5

a)

X = 6 + √41 or 6 − √41

b)

X= 35 or 47

c)

X = −6 + √41 or −6 − √41

d)

X = √35 or √47

113.

Solve for x.

2x^2-x=6

a)

$x=2,\ -\frac{3}{2}$

b)

$x=-2,\ \frac{3}{2}$

c)

$x=\frac{1\pm\sqrt{50}}{4}$

d)

$x=\frac{-1\pm\sqrt{50}}{4}$

114.

Solve for x.

5x^2+6x-2=0

a)

$x=\frac{2}{5},\ \frac{4}{5}$

b)

$x=-\frac{2}{5},\ -\frac{4}{5}$

c)

$x=\frac{-6\pm\sqrt{76}}{10}$

d)

$x=\frac{6\pm\sqrt{76}}{10}$

115.

Solve for x.

x^2+5x-13=-4

a)

$x=\frac{-5\pm\sqrt{93}}{2}$

b)

$x=\frac{5\pm\sqrt{93}}{2}$

c)

$x=\frac{5\pm\sqrt{61}}{2}$

d)

$x=\frac{-5\pm\sqrt{61}}{2}$

116.

Solve for x.

2x^2-11x+8=0

a)

$x=\frac{11\pm\sqrt{57}}{4}$

b)

$x=\frac{-11\pm\sqrt{57}}{4}$

c)

$x=\frac{-11\pm\sqrt{89}}{4}$

d)

$x=\frac{11\pm\sqrt{89}}{4}$

117.

Solve the following quadratic for x.

$2x^2+11=19$

a)

$x=4,\ -4$

b)

$x=2,\ -2$

c)

$x=\pm\sqrt{15}$

d)

$x=\pm\sqrt{28}$

118.

Solve the following quadratic for x.

$\left(x+4\right)^2-27=73$

a)

$x=-6,\ 14$

b)

$x=6,\ -14$

c)

$x=-4\pm\sqrt{46}$

d)

$x=4\pm\sqrt{46}$

119.

Solve for x.

x^2-7x+10=0

a)

$x=2,\ 5$

b)

$x=-2,\ -5$

c)

$x=7\pm\sqrt{39}$

d)

$x=-7\pm\sqrt{39}$

120.

Solve for x.

3x^2+2x-8=0

a)

$x=\frac{-2\pm\sqrt{100}}{6}$

b)

$x=\frac{-2\pm\sqrt{100}}{12}$

c)

$x=\frac{-2\pm\sqrt{100}}{3}$

d)

$x=\frac{-2\pm\sqrt{100}}{9}$

121.

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

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

122.

Use the quadratic formula to find the solutions for
$y=-x^2-5x+12$

a)

No Real Solution

b)

$\frac{5\pm\sqrt{73}}{-2}$

c)

$\frac{-5\pm\sqrt{73}}{-2}$

d)

$\frac{5\pm\sqrt{73}}{2}$

123.

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

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

124.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

125.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

126.

Solve using the Quadratic Formula:

$2x^2+7x-15=0$

a)

$x=-1.5,\ 5$

b)

No Solution

c)

$x=-5,\ 1.5$

d)

$x=0.7,\ 5$

127.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

128.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3, -1}

b)

{4, -4}

c)

{5, -3}

d)

{8, -7}

129.

Solve the following equation by completing the square:
n² = 18n + 40

a)

{11, -11}

b)

{16, 2}

c)

{20, -2}

d)

{10, -4}

130.

Solve by completing the square:
k² − 12k + 23 = 0

a)

{6 + √13, 6 - √13}

b)

{-6 + √13, -6 - √13}

c)

{6 + √59, 6 - √59}

d)

{-6 + √59, -6 - √59}

131.

Solve by completing the square:
v² + 6v − 59 = 0

a)

{-5 + 5√2, -5 - 5√2}

b)

{5 + 5√2, 5 - 5√2}

c)

{-3 + 2√17, -3 - 2√17}

d)

{3 + 2√17, 3 - 2√17}

132.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

133.

Complete the square:

$x^2+6x\ =\ 0$

a)

$\left(x+3\right)^2=9$

b)

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

c)

$\left(x+3\right)^2=6$

d)

$\left(x+6\right)^2=36$

134.

$a^2+14a-22=10$

a)

a= $\sqrt{81}$

b)

a=9 a=-9

c)

a = 2 a = -16

135.

$2b^2+20b+58=10$

a)

b=-1/4 b=1/6

b)

b=-4 b=-6

c)

b=4 $\sqrt{6}$ b=6 $\sqrt{4}$

136.

Complete the square. (What goes in the blank?)

x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

e)

x² + 3x +9

137.

Solve the equation by completing the square: 7x² - 14x - 56 = 0

a)

-6 and 12

b)

-2 and 4

c)

4 only

d)

3∓√10

138.

What is the first step to complete the square for this quadratic equation?

2y² + 20y + 18 = 0

a)

factor the LEFT

b)

divide by 2

c)

subtract 18 from both sides

d)

add a blank/box to both sides

139.

x² + 4x - 16 = 0

a)

b)

c)

d)

140.

Solve the following equation by completing the square:
n² = 18n + 40

a)

{11 and -11}

b)

{16 and 2}

c)

{20 and -2}

d)

{10 and -4}

141.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3 and-1}

b)

{4 and -4}

c)

{5 and -3}

d)

{8 and -7}

142.

Complete the square:

$x^2+6x\ =\ 0$

a)

$\left(x+3\right)^2=9$

b)

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

c)

$\left(x+3\right)^2=6$

d)

$\left(x+6\right)^2=36$

143.

Complete the square:

$x^2+10x\ =\ 11$

a)

$\left(x+5\right)^2=36$

b)

$\left(x+5\right)^2=25$

c)

$\left(x+10\right)^2=100$

d)

$\left(x+10\right)^2=111$

144.

Complete the square:

$x^2-8x\ =\ 0$

a)

$\left(x-4\right)^2=16$

b)

$\left(x+4\right)^2=16$

c)

$\left(x-4\right)^2=-16$

d)

$\left(x-8\right)^2=64$

145.

Complete the square:

$x^2-20x\ =\ 21$

a)

$\left(x-10\right)^2=121$

b)

$\left(x+10\right)^2=121$

c)

$\left(x-10\right)^2=-100$

d)

$\left(x-20\right)^2=100$

146.

Complete the square:

$x^2-4x\ -5=\ 0$

a)

$\left(x-2\right)^2=9$

b)

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

c)

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

d)

$\left(x-4\right)^2=21$

147.

Complete the square:

$y^2+6y\ =\ 0$

a)

$\left(y+3\right)^2=9$

b)

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

c)

$\left(y+3\right)^2=6$

d)

$\left(y+6\right)^2=36$

148.

Complete the square:

$y^2-12y\ =0\$

a)

$\left(y-6\right)^2=36$

b)

$\left(y-6\right)^2=12$

c)

$\left(y-6\right)^2=0$

d)

$\left(y-12\right)^2=144$

149.

Complete the square:

$y^2+16y\ =17\$

a)

$\left(y+8\right)^2=81$

b)

$\left(y+8\right)^2=17$

c)

$\left(y+8\right)^2=64$

d)

$\left(y+4\right)^2=33$

150.

Complete the square:

$y^2-2y\ =8\$

a)

$\left(y-1\right)^2=9$

b)

$\left(y-1\right)^2=8$

c)

$\left(y-1\right)^2=1$

d)

$\left(y-2\right)^2=12$

151.

Complete the square:

$y^2+4y\ +3=\ 0$

a)

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

b)

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

c)

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

d)

$\left(y+4\right)^2=13$

152.

a)

A

b)

B

c)

C

d)

D

153.

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

a)

x = 2 , -3

b)

x = 4 , -2

c)

x = 2 , -4

d)

x = 3 , -2

e)

No Solution

154.

Solve a² - 4a + 4 = 0 using the quadratic formula

a)

2

b)

-2

c)

4

d)

-4

e)

No Solution

155.

Solve 2p² - 3a + 1 = 0 using the quadratic formula

a)

x = 5, -4

b)

x = 4, -5

c)

x = 1, 1/2

d)

x = -1/2, -1

e)

No Solution

156.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

157.

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

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

158.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

159.

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

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

160.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

161.

Solve using the quadratic formula :

x² - 7x + 12 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

162.

Is this the Quadratic Formula? $\frac{-b+\sqrt[]{b-4a}}{2ac}$

a)

Yes

b)

No

163.

a)

A

b)

B

c)

C

d)

D

164.

a)

A

b)

B

c)

C

d)

D

165.

a)

A

b)

B

c)

C

d)

D

166.

a)

A

b)

B

c)

C

d)

D

167.

a)

A

b)

B

c)

C

d)

D

168.

a)

A

b)

B

c)

C

d)

D

169.

a)

A

b)

B

c)

C

d)

D

170.

a)

A

b)

B

c)

C

d)

D

171.

a)

A

b)

B

c)

C

d)

D

172.

a)

A

b)

B

c)

C

d)

D

173.

a)

A

b)

B

c)

C

d)

D

174.

a)

A

b)

B

c)

C

d)

D

A2-CHAPTER 3 TEST 2025-26

Total questions: 174

Worksheet time: 12hrs 11mins

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