Free Printable A2-CHAPTER 3 TEST

1.

Simplify.

a)

-5i

b)

5

c)

5i

d)

-5

2.

a)

7

b)

-7

c)

7i

d)

-7i

3.

a)

7

b)

-7

c)

7i

d)

-7i

4.

a)

2i√6

b)

8i√3

c)

-2√6

d)

-2i√6

5.

a)

6i√5

b)

-8√5

c)

8i√5

d)

-8i√5

6.

a)

-24i√7

b)

24i√7

c)

-24√7

d)

24√7

7.

a)

i

b)

-1

c)

1

d)

-i

8.

Simplify √-4

a)

2i

b)

-2i

c)

2

d)

4i

9.

Simplify √-23

a)

-√23

b)

23i

c)

23

d)

i√23

10.

Simplify -√-48

a)

4i√3

b)

-4i√3

c)

i√48

d)

-48i

11.

Simplify √-81

a)

-√81

b)

-9i

c)

9i

d)

81i

12.

Simplify √-28

a)

-√28

b)

-2i√7

c)

2i√7

d)

28i

13.

What does i²= ?

a)

1

b)

-1

c)

√-1

d)

√1

14.

$2-\sqrt{-9}$

a)

2-3i

b)

2+3= 5

c)

2+3i

d)

2 - 3= -1

15.

$12i^2$

a)

$\sqrt{-12}$

b)

12

c)

$i\sqrt{12}$

d)

-12

16.

$-\sqrt{-15}$

a)

$-15$

b)

$-15i$

c)

$-i\sqrt{15}$

d)

$\sqrt{15}$

17.

$\sqrt{-121}$

a)

$11i$

b)

$121i$

c)

$i\sqrt{11}$

d)

$i\sqrt{121}$

18.

$\sqrt{-48}$

a)

$16i$

b)

$i\sqrt{48}$

c)

$2i\sqrt{12}$

d)

$4i\sqrt{3}$

19.

$\sqrt{-72}$

a)

$i\sqrt{72}$

b)

$72i$

c)

$6i\sqrt{2}$

d)

$36i\sqrt{2}$

20.

$-\sqrt{-98}$

a)

$-7i\sqrt{2}$

b)

$7i\sqrt{2}$

c)

$49i\sqrt{2}$

d)

$-7\sqrt{2}$

21.

$-3\sqrt{-300}$

a)

$100i\sqrt{3}$

b)

$-30i\sqrt{3}$

c)

$10i\sqrt{3}$

d)

$-30\sqrt{3}$

22.

$\sqrt{-125}$

a)

$5i\sqrt{5}$

b)

$-5\sqrt{5}$

c)

$-5i\sqrt{5}$

d)

$25i\sqrt{5}$

23.

$3\sqrt{-72}$

a)

$9i\sqrt{8}$

b)

$6i\sqrt{12}$

c)

$18i\sqrt{2}$

d)

$-18\sqrt{2}$

24.

Simplify
√-36 + √-100

a)

16

b)

-4

c)

-4i

d)

16i

25.

The imaginary number $i$ is defined as

a)

-1

b)

$\sqrt{-1}$

c)

$\sqrt{-4}$

d)

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

26.

Which of the following is equivalent to $\sqrt{-128}$ ?

a)

$8\sqrt{2}$

b)

$8i$

c)

$-8\sqrt{2}$

d)

$8i\sqrt{2}$

27.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

28.

Simplify
2i - 7i + 10

a)

10 - 5i

b)

5i

c)

10 + 9i

d)

10 + 5i

29.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

30.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

31.

Simplify:
(3 + 2i) + (4i + 6)

a)

9 + 6i

b)

7i + 8

c)

9 + 6i²

d)

9 - 6i

32.

Simplify:
(4 + 7i) - (3 + 2i)

a)

1 + 5i

b)

7 + 9i

c)

1 + 9i

d)

-1 + 5i

33.

Calculate:
(4 − 7i) − (-3 + 6i)

a)

7 − 13i

b)

7 − i

c)

1 − 13i

d)

1 − i

34.

Calculate:
(1 − 2i) + (-4 + 2i)

a)

-3

b)

-3 − 4i

c)

5 − 4i

d)

5

35.

(5 − 3i) + (-6 + 2i)

a)

-1 -1i

b)

11 + 5i

c)

-11 − 5i

d)

11 − 1i

36.

Calculate:
(1 − 2i) + (-4 + 2i)

a)

-3

b)

-3 − 4i

c)

5 − 4i

d)

5

37.

Why do we get imaginary numbers?

a)

When a square root has a positive on the outside

3x^2\sqrt{14x}

b)

When a square root has a negative on the outside $-3x^2\sqrt{14x}$

c)

When a square root has a positive on the inside $\sqrt{14}$

d)

When a square root has a negative on the inside $\sqrt{-14}$

38.

What is the simplifies form of (11 – 7i) – (–3 + 12i)

a)

8 – 19i

b)

8 + 5i

c)

13 – 19i

d)

14 –19i

39.

(5x – 2i) + (–7x + 8i)

a)

–2x + 6i

b)

12x + 6i

c)

–35x – 16i²

d)

–35 – 16i

40.

(10x + 3i) – (2x – 9i)

a)

20x – 27i

b)

12x - 7i

c)

8x + 12i

d)

20x – 27i²

41.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

42.

Find the sum of 5+7i and 10-15i

a)

15+22i

b)

15 - 8i

c)

-5 + 8i

d)

-5+22i

43.

Simplify
(10 + 3i) - (12 - 7i)

a)

22 - 4i

b)

-2 - 4i

c)

-2 - 10i

d)

-2 + 10i

44.

Simplify
(5i + 6) + (-3 + 5i)

a)

2 + 11i

b)

10 + 3i

c)

3 + 10i

d)

11 + 2i

45.

Add $\left(-6-8i\right)+\left(-1-2i\right)$

a)

$-7-10i$

b)

$5+6i$

c)

$-2i$

d)

$-17-2i$

46.

Add $\left(1+6i\right)+\left(5+7i\right)$

a)

$-6+i$

b)

$4+i$

c)

$6+i$

d)

$6+13i$

47.

Add $\left(-7+7i\right)+\left(-2+3i\right)$

a)

$-9+10i$

b)

$-11+10i$

c)

$5-4i$

d)

$-5-4i$

48.

Add $\left(1+i\right)+2+2i$

a)

$5+3i$

b)

$1+i$

c)

$3+3i$

d)

$5+2i$

49.

Subtract $\left(8+5i\right)-\left(-4+3i\right)$

a)

$12-8i$

b)

$4+8i$

c)

$12+2i$

d)

$-4-2i$

50.

Subtract $\left(-6+2i\right)-\left(7-i\right)$

a)

$-13-i$

b)

$-10+i$

c)

$-13+3i$

d)

$-7+i$

51.

Subtract $\left(-6-i\right)-\left(-4-6i\right)$

a)

$-4+6i$

b)

$10+7i$

c)

$-10+5i$

d)

$-2+5i$

52.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

53.

(2i)(3i)

a)

5i

b)

-5

c)

6i²

d)

-6

54.

Multiply:
(2-5i)(2+5i)

a)

29

b)

4 - 25i

c)

25 - 10i

d)

-21

55.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

56.

Calculate:
-4 (13 + 5i)

a)

-52 − 20i

b)

9 + i

c)

17 − 20i

d)

-52 + 20i

57.

Calculate (multiply):
(1 − 2i)(6 + 5i)

a)

16 − 7i

b)

-16 + 7i

c)

-16 − 7i

d)

16 + 7i

58.

6i (-5 + 10i)

a)

-30i + 60i²

b)

30i − 16i²

c)

11i + 60i²

d)

-11i²+ 16i

59.

Calculate (multiply):
(4 + 3i)(4 − 3i)

a)

16 − 9i²

b)

25

c)

7

d)

8 − 6i

60.

Simplify:
2i(4 - 3i)

a)

6 + 8i

b)

6 - 8i

c)

8i - 6i²

d)

8i + 6i²

61.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

62.

Simplify:
(2 - 3i)(5 + 4i)

a)

22 - 7i

b)

22 + 7i

c)

22 - 7i²

d)

22 + 7i²

63.

Simplify:
(-3i)(4i)(-5i)

a)

-60i

b)

60

c)

-60

d)

60i

64.

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

a)

15i

b)

-15i

c)

-15i³

d)

15i³

65.

$\left(3-i\right)\left(2+4i\right)=$

a)

$10+10i$

b)

$1-5i$

c)

$6-4i^2$

d)

$10$

66.

Multiply:

(4 – 3i)(–7 – 2i)

FYI - your calculator can do this one :)

a)

–23 + 13i

b)

–23 – 29i

c)

–34 + 13i

d)

–34 – 29i

67.

a)

30

b)

30i

c)

-30

d)

-30i

68.

$\left(7+4i\right)\left(-2+5i\right)$

a)

$-34+27i$

b)

$6+27i$

c)

$-14+27i+20i^2$

d)

$-34+42i$

69.

Simplify

a)

-24

b)

24i

c)

24

d)

-24i

70.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

71.

Simplify (2i)(3i)²

a)

-18

b)

18i

c)

-18i

d)

-6

e)

6i

72.

Simplify (–6i)(3i)

a)

–18

b)

–18i

c)

18

d)

–18i²

73.

Simplify $\left(10i\right)^2$

a)

$10i$

b)

$-10i$

c)

$100$

d)

$-100$

74.

Simplify: $-i\left(-4+8i\right)$

a)

8 + 4i

b)

8 - 4i

c)

-8 - 4i

d)

-8 + 4i

75.

$-i\left(8i\right)$

a)

-9i

b)

-8

c)

8

d)

-8i

76.

Simplify: $\left(5+4i\right)\left(-7-5i\right)$

a)

55 - 3i

b)

15 - 53i

c)

-55 - 3i

d)

-15 - 53i

77.

Simplify: $\left(-4\ -\ 8i\right)^2$

a)

-48 + 64i

b)

81

c)

-55 + 48i

d)

121

78.

Simplify: $6i(-5+10i)$

a)

$-60-30i$

b)

$30i+60$

c)

$-30i+60i^2$

d)

$60i-30$

79.

Solve for x.

x² = 36

a)

x = ± 6

b)

x = ± 18

c)

x = 6

d)

x = 18

80.

Solve for x.

3x² = 48

a)

x = ± 4

b)

x = ± 12

c)

x = ± 16

d)

x = √16

81.

Solve for x.

x² - 49 = 0

a)

x = ± 7

b)

x = √49

c)

x = ± 49

d)

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

82.

a)

± 1/4

b)

± 9/36

c)

± 1/2

d)

No real solution

83.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

84.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

85.

Solve for x.

16x² - 9 = 0

a)

x = 1.333

b)

x = ± (4/3)

c)

x = ± (3/4)

d)

x = (9/16)

86.

Solve by taking square roots:
a² + 9 = 9

a)

no solution

b)

a = 0

c)

a = 3 or -3

d)

a = 18

87.

x² -4 = 77

a)

9

b)

-9

c)

No Real Solutions

d)

±9

88.

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

89.

Solve for x.
-9p² = -576

a)

x = 8

b)

x = 64

c)

x = 8, -8

d)

x = 64, -64

90.

Solve for m.
4m² + 10 = 38

a)

m = 7, -7

b)

m = 7

c)

m = √7

d)

m = √7, -√7

91.

$4r^2-10=-26$

a)

$2$

b)

$-4$

c)

$\pm2i$

d)

$\pm i\sqrt{2}$

92.

$3r^2+7=37$

a)

$\pm10$

b)

$\pm\sqrt{10}$

c)

$\sqrt{10}$

d)

$\pm5$

93.

$-1+5p^2=-86$

a)

$\pm\sqrt{17}$

b)

$\pm17i$

c)

$-17$

d)

$\pm i\sqrt{17}$

94.

$10x^2-6=1434$

a)

$\pm12$

b)

$\pm\sqrt{12}$

c)

$\pm2\sqrt{3}$

d)

$12$

95.

$49n^2+6=70$

a)

$\pm\frac{8}{7}$

b)

$\pm\sqrt{\frac{8}{7}}$

c)

$\frac{8}{7}$

d)

$\pm\frac{7}{8}$

96.

Solve $36x^2+169\ =\ 0$ .

a)

$x=\pm\frac{6}{13}i$

b)

$x=\pm\frac{6}{13}$

c)

$x=\pm\frac{13}{6}i$

d)

$x=\pm\frac{13}{6}$

97.

Solve by taking the square root: -9k² = 225

a)

4i

b)

4, -4

c)

25i, -25i

d)

-5i, 5i

98.

Solve by taking square roots:

2b² - 4 = -166

a)

b = 9i, b = -9i

b)

b = 3, b = -3

c)

b = 9, b = -9

d)

b = 3i, b = -3i

99.

x² + 4 = -77

a)

9i

b)

-9i

c)

No solution

d)

±9i

100.

Solve by taking square roots:

-5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3i, b = -3i

c)

b = 3, b = -3

d)

b = 9i, b = -9i

101.

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

102.

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

103.

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

a)

- 196

b)

49

c)

- 49

d)

28

104.

Complete the square for

x² + 6x + ____

(find the missing value that goes in the blank)

a)

9

b)

12

c)

36

d)

- 9

105.

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

a)

4

b)

16

c)

64

d)

-16

106.

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

a)

2

b)

4

c)

-2

d)

1

107.

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___

a)

13

b)

136

c)

169

d)

26

108.

Factor the perfect square trinomial:
x² + 16x + 64

a)

(x+8)²

b)

(x-8)²

c)

(x-4)²

d)

(x+4)²

109.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

110.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

111.

Complete the Square
x² + 10x + ____

a)

x² + 10x - 100

b)

x² + 10x + 100

c)

x² + 10x - 25

d)

x² + 10x + 25

112.

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

113.

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

a)

{3, -1}

b)

{4, -4}

c)

{5, -3}

d)

{8, -7}

114.

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

a)

{11, -11}

b)

{16, 2}

c)

{20, -2}

d)

{10, -4}

115.

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}

116.

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}

117.

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

118.

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)

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

119.

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

a)

a= $\sqrt{81}$

b)

a=9 a=-9

c)

a = 2 a = -16

120.

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

a)

b=-1/4 b=1/6

b)

b=-4 b=-6

c)

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

121.

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

122.

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

123.

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

124.

x² + 4x - 16 = 0

a)

b)

c)

d)

125.

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}

126.

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}

127.

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)

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

128.

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)

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

129.

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)

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

130.

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)

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

131.

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)

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

132.

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)

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

133.

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)

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

134.

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)

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

135.

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)

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

136.

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)

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

137.

a)

A

b)

B

c)

C

d)

D

138.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

139.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

140.

What is the discriminant of -2x² − x − 1 = 0

a)

76

b)

-7

c)

9

d)

none of these

141.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

142.

A function has a discriminant of 25.
______________
How many solutions does it have?

a)

0

b)

1

c)

2

d)

5

143.

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

144.

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

3

145.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

146.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

147.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

148.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

149.

How many solutions will this quadratic equation x²+8x+16 has?

a)

2 real solutions

b)

2 imaginary solution

c)

1 solution

d)

3 solutions

150.

Given the equation 10x² -6x=0, what is the value of C?

a)

0

b)

-6

c)

10

d)

x

151.

Write this equation x² -6 = x in standard form.

a)

x² +6x=0

b)

x² -6x=0

c)

x² -x -6 =0

d)

x² +x -6

152.

Given that the value of A=-5 , B=1 and C=-5, solve for the discriminant.

a)

-99

b)

99

c)

101

d)

-100

153.

Solve for the discriminant of the given equation -2x² -6x=0

a)

-36

b)

36

c)

0

d)

44

154.

If the discriminant is equal to 0, how many solutions are there?

a)

No solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite solutions

155.

If the discriminant is equal to 4, how many solutions are there?

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

156.

If the discriminant is equal to -2, how many solutions are there?

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

157.

What is the discriminant and how many solutions would this quadratic have?

-4x² - 8x - 8 = -4

a)

0, No Solutions

b)

0, 1 Solution

c)

128, 2 Solutions

d)

128, 1 Solution

158.

What does the discriminant tell us about a quadratic function?

a)

The maximum or minimum value

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

159.

If the discriminant is positive, then the nature of solution will be

a)

one real solution

b)

two real solutions

c)

two imaginary solutions

d)

all real numbers

160.

Determine the value of the discriminant

x² + 7x + 13=0

a)

101

b)

3

c)

-101

d)

-3

161.

For the function below, what is the discriminant?

x² + 8x + 16 = 0

a)

4

b)

-4

c)

0

d)

2

162.

Describe the number and type solutions for the following:

x² + 8x + 16 = 0

if the discriminant is equal to 0

a)

2 real solution

b)

2 imaginary solution

c)

1 real solution

163.

What is the discriminant of 6x² − 2x − 3 = 0

a)

76

b)

29

c)

-68

d)

0

164.

Describe the number and type solutions for the following:

6x² − 2x − 3 = 0

if the discriminant is equal to 76

a)

2 real solution

b)

2 imaginary solution

c)

1 real solution

165.

What is the discriminant of -2x² - x - 1 = 0

a)

8

b)

-7

c)

9

d)

0

166.

Solve the equation by factoring.

a)

$\left\{-3,\ -4\right\}$

b)

$\left\{-6,\ -1\right\}$

c)

$\left\{8,\ 1\right\}$

d)

$\left\{-1,\ -2\right\}$

167.

Solve the equation by factoring.

a)

$\left\{2,\ -1\right\}$

b)

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

c)

$\left\{-4,\ 1\right\}$

d)

$\left\{-8,\ 6\right\}$

168.

Solve the equation by factoring.

a)

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

b)

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

c)

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

d)

$\left\{3,\ -4\right\}$

169.

Solve the equation by factoring.

a)

$\left\{2,\ 6\right\}$

b)

$\left\{2,\ 0\right\}$

c)

$\left\{-2,\ 0\right\}$

d)

$\left\{-5,\ 1\right\}$

170.

Solve the equation by factoring.

a)

$\left\{8,\ 2\right\}$

b)

$\left\{-8,\ 2\right\}$

c)

$\left\{-5,\ -1\right\}$

d)

$\left\{8,\ -2\right\}$

171.

Solve the equation by factoring.

a)

$\left\{-3,\ 8\right\}$

b)

$\left\{3,\ 0\right\}$

c)

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

d)

$\left\{8,\ 3\right\}$

172.

Solve the equation by factoring.

a)

$\left\{4,\ -6\right\}$

b)

$\left\{1,\ -2\right\}$

c)

$\left\{-7,\ 5\right\}$

d)

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

173.

Solve the equation by factoring.

a)

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

b)

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

c)

$\left\{3,\ -6\right\}$

d)

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

174.

Solve the equation by factoring.

a)

$\left\{1,\ -3\right\}$

b)

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

c)

$\left\{5\right\}$

d)

$\left\{-4,\ 7\right\}$

175.

Solve the equation by factoring.

a)

$\left\{-1,\ 5\right\}$

b)

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

c)

$\left\{-4,\ 7\right\}$

d)

$\left\{6,\ 7\right\}$

176.

Solve
x² + 9x + 20 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

177.

Solve
x² + 7x + 12 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

178.

Solve
x² + 13x + 12 = 0

a)

x = -1, x = -12

b)

x = -1, x = -24

c)

x = -2, x = -6

d)

x = -2, x = -12

179.

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

180.

Factor
k² - 2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

181.

Solve
x² + 13x + 12 = 0

a)

x = -1, x = -12

b)

x = -1, x = -24

c)

x = -2, x = -6

d)

x = -2, x = -12

182.

Factor: x² + 9x + 18

a)

(x + 3)(x + 6)

b)

(x - 3)(x - 6)

c)

(x + 9)(x + 2)

d)

(x + 3)²

183.

Factor:
x² -17x - 60

a)

(x - 20)(x + 3)

b)

(x - 3)(x + 20)

c)

(x - 3)(x - 20)

d)

(x + 3)(x + 20)

184.

Solve: $p^2-2p-35=0$ (select all answers that apply!)

a)

p = –5

b)

p = 7

c)

p = 5

d)

p = –7

185.

Solve: $p^2-4p-32=0$ (select all answers that apply!)

a)

p = 8

b)

p = –4

c)

p = –8

d)

p = 4

186.

Solve: $b^2+2b-15=0$ (select all answers that apply!)

a)

b = 3

b)

b = –5

c)

b = –3

d)

b = 5

187.

Solve

x^2+7x+12=0

a)

$x=\left\{3,\ 4\right\}$

b)

$x=\left\{-3,\ -4\right\}$

c)

$x=\left\{1,6\right\}$

d)

$x=\left\{-1,-6\right\}$

188.

Factor and Solve

x^2-2x-35=0

a)

$x=\ +7,\ -8$

b)

$x=+7,\ -5$

c)

$x=-5,\ +7$

d)

$x=8$

189.

Solve the equation by factoring:

x²- 6x = -8

a)

x=2 and x=4

b)

x= -2 and x= -4

c)

x= -2 and x=4

d)

x=2 and x= -4

190.

Solve: $20x=5x^2+20$

a)

$x=0$ and $x=2$

b)

$x=-2$

c)

$x=2$

d)

$x=2$ and $x=-2$

A2-CHAPTER 3 TEST

Total questions: 190

Worksheet time: 9hrs 45mins

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