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A2-CHAPTER 3 TEST 2024-2025

Total questions: 172

Worksheet time: 9hrs 57mins

Name
Class
Date
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.

9x2=81-9x^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 36n213=1236n^2-13=12  ?

a)

56\frac{5}{6}  

b)

65\frac{6}{5}  

c)

16\frac{1}{6}  

d)

55  

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:

49x2+3=749x^2+3=7  

a)

±27\pm\frac{2}{7}  

b)

±72\pm\frac{7}{2}  

c)

±17\pm\frac{1}{7}  

d)

±449\pm\frac{4}{49}  

9.

Solve the equation using square root method. 9x2=81-9x^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.

 n210=10\ 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.

 16x2+3=12\ 16x^2+3=12  

a)

x = 916 or x =916x\ =\ \frac{9}{16}\ or\ x\ =-\frac{9}{16}  

b)

no solutions

c)

x=3  or x=3x=3\ \ or\ x=-3  

d)

x=34   or   x =34x=\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:

x2+5=9x^2+5=-9     

a)

i14 i\sqrt[\ ]{14}  

b)

±4i 3\pm4i\ \sqrt[]{3}  

c)

±i 14  \pm i\ \sqrt[\ \ ]{14}  

d)

±4\pm4  

18.

x2+7=13x^2+7=-13  

a)

±i 6\pm i\ \sqrt[]{6}  

b)

±2i 5\pm2i\ \sqrt[]{5}  

c)

±2i 6\pm2i\ \sqrt[]{6}  

d)

2i 52i\ \sqrt[]{5}  

19.

8x2=320-8x^2=320  

a)

±i 11\pm i\ \sqrt[]{11}  

b)

±2i 10\pm2i\ \sqrt[]{10}  

c)

±i 29\pm i\ \sqrt[]{29}  

d)

±i 11\pm i\ \sqrt[]{11}  

20.

x21=5x^2-1=-5  

a)

±2i 3\pm2i\ \sqrt[]{3}  

b)

±2i\pm2i  

c)

±6\pm6  

d)

±i 6\pm i\ \sqrt[]{6}  

21.

4x210=2464x^2-10=246  

a)

±8\pm8  

b)

±25\pm2\sqrt[]{5}  

c)

5959  

d)

±64\pm64  

22.

7x210=677x^2-10=67  

a)

±11\pm\sqrt[]{11}  

b)

11\sqrt[]{11}  

c)

±11\pm11  

d)

±4i 3\pm4i\ \sqrt[]{3}  

23.

2x21=852x^2-1=85  

a)

±4\pm4  

b)

±9\pm9  

c)

±89\pm89  

d)

±43\pm\sqrt[]{43}  

24.

22x2=02-2x^2=0  

a)

±i\pm i  

b)

±3\pm3  

c)

±1\pm1  

d)

±9\pm9  

25.

52x2=695-2x^2=-69  

a)

±37\pm\sqrt[]{37}  

b)

37\sqrt[]{37}  

c)

±37\pm37  

d)

±42\pm4\sqrt[]{2}  

26.

3x2+10=353x^2+10=-35  

a)

±15\pm15  

b)

±153\pm\frac{15}{3}  

c)

±15\pm\sqrt[]{15}  

d)

±i 15\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.

3p217p=308p3p^2-17p=30-8p  

a)

{3,5,2}\left\{3,5,-2\right\}  

b)

{2,5}\left\{2,-5\right\}  

c)

{2,5}\left\{-2,5\right\}  

d)

{6,15}\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:   x211x+19=5x^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?
x- 12x + c
a)
36
b)
24
c)
144
d)
-36
80.

Answer the question.

a)
b)
c)
d)
81.

Complete the square x2+10x+?x^2+10x+?  

(What number should replace the question mark)

a)

-100

b)

100

c)

-25

d)

25

82.

Complete the square

  x24x+?x^2-4x+?  

(What number should replace the question mark?

a)

4

b)

-4

c)

16

d)

-16

83.

Find the last term:

x2+22x+cx^2+22x+c  

a)

22

b)

11

c)

121

d)

44

84.

Find the last term:

x28x+cx^2-8x+c  

a)

8

b)

4

c)

-16

d)

16

85.

Find the last term:

x216x+cx^2-16x+c  

a)

8

b)

64

c)

-16

d)

16

86.

Find the last term:

x2+34x+cx^2+34x+c  

a)

289

b)

17

c)

34

d)

-34

87.

Find the last term:

x2+30x+cx^2+30x+c  

a)

30

b)

15

c)

225

d)

-15

88.

Find the last term:

x2+4x+cx^2+4x+c  

a)

4

b)

2

c)

-2

d)

-4

89.

Find the last term:

x26x+cx^2-6x+c  

a)

-9

b)

9

c)

6

d)

-6

90.

Find the last term:

x2+42x+cx^2+42x+c  

a)

-9

b)

21

c)

441

d)

1764

91.

Find the last term:

x228x+cx^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.
x24x20=0x^2-4x-20=0  

a)

x={±622}x=\left\{\pm6\sqrt{2}-2\right\}  

b)

x={±62+2}x=\left\{\pm6\sqrt{2}+2\right\}  

c)

x={±26+2}x=\left\{\pm2\sqrt{6}+2\right\}  

d)

x={±262}x=\left\{\pm2\sqrt{6}-2\right\}  

102.

Solve by completing the square.
x28x20=0x^2-8x-20=0  

a)

x={2, 10}x=\left\{-2,\ 10\right\}  

b)

x={10, 2}x=\left\{-10,\ 2\right\}  

c)

x={20, 8}x=\left\{-20,\ -8\right\}  

d)

x={8, 20}x=\left\{8,\ 20\right\}  

103.

x211=6xx^2-11=6x  

Solve & leave in simplest radical form

a)

3±203\pm\sqrt{20}  

b)

6±116\pm\sqrt{11}  

c)

3±253\pm2\sqrt{5}  

d)

6±326\pm3\sqrt{2}  

104.

Solve by Completing the Square


2x2 + 12x = 62x^2\ +\ 12x\ =\ -6  

a)

3±6-3\pm\sqrt{6}  

b)

6±3-6\pm\sqrt{3}  

c)

3 ±123\ \pm\sqrt{12}  

d)

3±3-3\pm\sqrt{3}  

105.

Solve by completing the square.
x26x59=0x^2-6x-59=0  

a)

x={±217+3}x=\left\{\pm2\sqrt{17}+3\right\}  

b)

x={±172+3}x=\left\{\pm17\sqrt{2}+3\right\}  

c)

x={±2173}x=\left\{\pm2\sqrt{17}-3\right\}  

d)

x={±1723}x=\left\{\pm17\sqrt{2}-3\right\}  

106.

Solve. x2 + 4x - 16 = 0

a)
b)
c)
d)
107.

Solve by completing the square.
x24x21=0x^2-4x-21=0  

a)

x={7, 3}x=\left\{-7,\ 3\right\}  

b)

x={3, 7}x=\left\{3,\ 7\right\}  

c)

x={3, 7}x=\left\{-3,\ 7\right\}  

d)

x={7, 3}x=\left\{-7,\ -3\right\}  

108.

Solve by completing the square.
x28x14=0x^2-8x-14=0  

a)

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

b)

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

c)

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

d)

x={304}x=\left\{\sqrt{30}-4\right\}  

109.

Solve by completing the square.
x216x+48=0x^2-16x+48=0  

a)

x={12, 4}x=\left\{-12,\ 4\right\}  

b)

x={12, 4}x=\left\{-12,\ -4\right\}  

c)

x={4, 12}x=\left\{-4,\ 12\right\}  

d)

x={4, 12}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±23-3\pm2\sqrt{3}

b)

3±233\pm2\sqrt{3}

c)

12±312\pm\sqrt{3}

d)

12±3-12\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.

2x2x=62x^2-x=6  

a)

x=2, 32x=2,\ -\frac{3}{2}  

b)

x=2, 32x=-2,\ \frac{3}{2}  

c)

x=1±504x=\frac{1\pm\sqrt{50}}{4}  

d)

x=1±504x=\frac{-1\pm\sqrt{50}}{4}  

114.

Solve for x.

5x2+6x2=05x^2+6x-2=0  

a)

x=25, 45x=\frac{2}{5},\ \frac{4}{5}  

b)

x=25, 45x=-\frac{2}{5},\ -\frac{4}{5}  

c)

x=6±7610x=\frac{-6\pm\sqrt{76}}{10}  

d)

x=6±7610x=\frac{6\pm\sqrt{76}}{10}  

115.

Solve for x.

x2+5x13=4x^2+5x-13=-4  

a)

x=5±932x=\frac{-5\pm\sqrt{93}}{2}  

b)

x=5±932x=\frac{5\pm\sqrt{93}}{2}  

c)

x=5±612x=\frac{5\pm\sqrt{61}}{2}  

d)

x=5±612x=\frac{-5\pm\sqrt{61}}{2}  

116.

Solve for x.

2x211x+8=02x^2-11x+8=0  

a)

x=11±574x=\frac{11\pm\sqrt{57}}{4}  

b)

x=11±574x=\frac{-11\pm\sqrt{57}}{4}  

c)

x=11±894x=\frac{-11\pm\sqrt{89}}{4}  

d)

x=11±894x=\frac{11\pm\sqrt{89}}{4}  

117.

Solve the following quadratic for x.

2x2+11=192x^2+11=19  

a)

x=4, 4x=4,\ -4  

b)

x=2, 2x=2,\ -2  

c)

x=±15x=\pm\sqrt{15}  

d)

x=±28x=\pm\sqrt{28}  

118.

Solve the following quadratic for x.

(x+4)227=73\left(x+4\right)^2-27=73  

a)

x=6, 14x=-6,\ 14  

b)

x=6, 14x=6,\ -14  

c)

x=4±46x=-4\pm\sqrt{46}  

d)

x=4±46x=4\pm\sqrt{46}  

119.

Solve the following quadratic for x.

3(x2)2+8=113\left(x-2\right)^2+8=11  

a)

x=3, 1x=3,\ 1  

b)

x=3, 1x=-3,\ -1  

c)

x=2±193x=-2\pm\sqrt{\frac{19}{3}}  

d)

x=2±193x=2\pm\sqrt{\frac{19}{3}}  

120.
The discriminant is
a)
aX2  + bX  +  c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
121.

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

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

122.

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

a)

76

b)

-7

c)

9

d)

none of these

123.

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

124.
A function has a discriminant of 25.
______________
How many solutions does it have?
a)
0
b)
1
c)
2
d)
5
125.
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
126.
A function has a discriminant of -3.
______________
How many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
3
127.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
128.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
129.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
130.
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
131.

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

132.

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

a)

0

b)

-6

c)

10

d)

x

133.

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

134.

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

a)

-99

b)

99

c)

101

d)

-100

135.

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

a)

-36

b)

36

c)

0

d)

44

136.

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

a)

No solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite solutions

137.

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

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

138.

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

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

139.

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

140.

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

141.

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

142.

Determine the value of the discriminant

x2 + 7x + 13=0

a)

101

b)

3

c)

-101

d)

-3

143.

For the function below, what is the discriminant?

x² + 8x + 16 = 0

a)

4

b)

-4

c)

0

d)

2

144.

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

145.

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

a)

76

b)

29

c)

-68

d)

0

146.

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

147.

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

a)

8

b)

-7

c)

9

d)

0

148.

Solve the equation by factoring.

a)

{3, 4}\left\{-3,\ -4\right\}

b)

{6, 1}\left\{-6,\ -1\right\}

c)

{8, 1}\left\{8,\ 1\right\}

d)

{1, 2}\left\{-1,\ -2\right\}

149.

Solve the equation by factoring.

a)

{2, 1}\left\{2,\ -1\right\}

b)

{5, 5}\left\{-5,\ 5\right\}

c)

{4, 1}\left\{-4,\ 1\right\}

d)

{8, 6}\left\{-8,\ 6\right\}

150.

Solve the equation by factoring.

a)

{3, 5}\left\{3,\ -5\right\}

b)

{3, 2}\left\{-3,\ 2\right\}

c)

{5, 3}\left\{-5,\ -3\right\}

d)

{3, 4}\left\{3,\ -4\right\}

151.

Solve the equation by factoring.

a)

{2, 6}\left\{2,\ 6\right\}

b)

{2, 0}\left\{2,\ 0\right\}

c)

{2, 0}\left\{-2,\ 0\right\}

d)

{5, 1}\left\{-5,\ 1\right\}

152.

Solve the equation by factoring.

a)

{8, 2}\left\{8,\ 2\right\}

b)

{8, 2}\left\{-8,\ 2\right\}

c)

{5, 1}\left\{-5,\ -1\right\}

d)

{8, 2}\left\{8,\ -2\right\}

153.

Solve the equation by factoring.

a)

{3, 8}\left\{-3,\ 8\right\}

b)

{3, 0}\left\{3,\ 0\right\}

c)

{3, 2}\left\{-3,\ 2\right\}

d)

{8, 3}\left\{8,\ 3\right\}

154.

Solve the equation by factoring.

a)

{4, 6}\left\{4,\ -6\right\}

b)

{1, 2}\left\{1,\ -2\right\}

c)

{7, 5}\left\{-7,\ 5\right\}

d)

{7, 3}\left\{7,\ 3\right\}

155.

Solve the equation by factoring.

a)

{3, 2}\left\{-3,\ 2\right\}

b)

{3, 2}\left\{-3,\ -2\right\}

c)

{3, 6}\left\{3,\ -6\right\}

d)

{3, 2}\left\{3,\ 2\right\}

156.

Solve the equation by factoring.

a)

{1, 3}\left\{1,\ -3\right\}

b)

{3, 5}\left\{-3,\ -5\right\}

c)

{5}\left\{5\right\}

d)

{4, 7}\left\{-4,\ 7\right\}

157.

Solve the equation by factoring.

a)

{1, 5}\left\{-1,\ 5\right\}

b)

{3, 7}\left\{3,\ -7\right\}

c)

{4, 7}\left\{-4,\ 7\right\}

d)

{6, 7}\left\{6,\ 7\right\}

158.
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
159.
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
160.
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
161.
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
162.
Factor
k2 - 2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
163.
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
164.
Factor:  x2 + 9x + 18
a)
(x + 3)(x + 6)
b)
(x - 3)(x - 6)
c)
(x + 9)(x + 2)
d)
(x + 3)2
165.
Factor:  
x2 -17x - 60
a)
(x - 20)(x + 3)
b)
(x - 3)(x + 20)
c)
(x - 3)(x - 20)
d)
(x + 3)(x + 20)
166.

Solve: p22p35=0p^2-2p-35=0  (select all answers that apply!)

a)

p = –5

b)

p = 7

c)

p = 5

d)

p = –7

167.

Solve: p24p32=0p^2-4p-32=0  (select all answers that apply!)

a)

p = 8

b)

p = –4 

c)

p =  –8

d)

p = 4

168.

Solve: b2+2b15=0b^2+2b-15=0  (select all answers that apply!)

a)

b = 3

b)

b = –5

c)

b = –3

d)

b = 5

169.

Solve

x2+7x+12=0x^2+7x+12=0  

a)

x={3, 4}x=\left\{3,\ 4\right\}  

b)

x={3, 4}x=\left\{-3,\ -4\right\}  

c)

x={1,6}x=\left\{1,6\right\}  

d)

x={1,6}x=\left\{-1,-6\right\}  

170.

Factor and Solve

x22x35=0x^2-2x-35=0  

a)

x= +7, 8x=\ +7,\ -8  

b)

x=+7, 5x=+7,\ -5  

c)

x=5, +7x=-5,\ +7  

d)

x=8x=8  

171.

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

172.

Solve:   20x=5x2+2020x=5x^2+20  

a)

x=0x=0  and  x=2x=2  

b)

x=2x=-2  

c)

x=2x=2  

d)

x=2x=2  and  x=2x=-2