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Chapter 3 1-4 Quiz Review

Total questions: 135

Worksheet time: 4hrs 12mins

Name
Class
Date
1.

What is the y-intercept of the following function?

f(x)=3x2

Your answer should be a point.

(a)  

2.

What is the y-intercept of the following function?

f(x)=-6x2

Your answer should be a point.

(a)  

3.

What is the y-intercept of the following function?

f(x)=x2-4x

Your answer should be a point.

(a)  

4.

What is the y-intercept of the following function?

f(x)=-x2-3x+4

Your answer should be a point.

(a)  

5.

What is the y-intercept of the following function?

f(x)=4x2-6x-3

Your answer should be a point.

(a)  

6.

What is the y-intercept of the following function?

f(x)=2x2-8x+5

Your answer should be a point.

(a)  

7.

What is the y-intercept of the following function?

f(x)=-x2+6x-1

Your answer should be a point.

(a)  

8.

What is the y-intercept of the following function?

f(x)=x2+3x-12

Your answer should be a point.

(a)  

9.

What is the y-intercept of the following function?

f(x)=3x2+8x+5

Your answer should be a point.

(a)  

10.

What is the y-intercept of the following function?

f(x)=-4x2+10x-6

Your answer should be a point.

(a)  

11.

What is the vertex for the following function?

f(x)=3x2

Your answer should be a point.

(a)  

12.

What is the vertex for the following function?

f(x)=-6x2

Your answer should be a point.

(a)  

13.

What is the vertex for the following function?

f(x)=x2-4x

Your answer should be a point.

(a)  

14.

What is the vertex for the following function?

f(x)=-x2-3x+4

Your answer should be a point. Use decimals.

(a)  

15.

What is the vertex for the following function?

f(x)=4x2-6x-3

Your answer should be a point. Use decimals

(a)  

16.

What is the vertex for the following function?

f(x)=2x2-8x+5

Your answer should be a point.

(a)  

17.

What is the graph for the following function?

f(x)=2x2-8x+3

a)
b)
c)
d)
18.

What is the graph for the following function?

f(x)=2x2+8x+3

a)
b)
c)
d)
19.

What is the graph for the following function?

f(x)=-2x2+8x-3

a)
b)
c)
d)
20.

What is the graph for the following function?

f(x)=-2x2-8x-3

a)
b)
c)
d)
21.

50\sqrt{50}  

a)

525\sqrt{2}  

b)

5\sqrt{5}   

c)

252\sqrt{5}  

d)

25225\sqrt{2}  

22.

243\sqrt{243}  

a)

333\sqrt{3}  

b)

939\sqrt{3}  

c)

81381\sqrt{3}  

d)

3813\sqrt{81}  

23.

96\sqrt{96}

a)

16616\sqrt{6}  

b)

262\sqrt{6}  

c)

464\sqrt{6}  

d)

2\sqrt{2}  

24.

45\sqrt{45}  =


a)

353\sqrt{5}  

b)

535\sqrt{3}  

c)

959\sqrt{5}  

d)

595\sqrt{9}  

25.

216\sqrt{216}  

a)

646\sqrt{4}  

b)

464\sqrt{6}  

c)

36636\sqrt{6}  

d)

666\sqrt{6}  

26.

300\sqrt{300}  

a)

3103\sqrt{10}  

b)

21502\sqrt{150}  

c)

1003100\sqrt{3}  

d)

10310\sqrt{3}  

27.

40\sqrt{40}  

a)

4104\sqrt{10}  

b)

10410\sqrt{4}  

c)

2102\sqrt{10}  

d)

10210\sqrt{2}  

28.

256\sqrt{256}  

a)

12212\sqrt{2}  

b)

9149\sqrt{14}  

c)

16

d)

18618\sqrt{6}  

29.

294\sqrt{294}  

a)

767\sqrt{6}  

b)

626\sqrt{2}  

c)

49

d)

49649\sqrt{6}  

30.

63\sqrt{63}  

a)

979\sqrt{7}  

b)

626\sqrt{2}  

c)

767\sqrt{6}  

d)

373\sqrt{7}  

31.

147\sqrt{147}  

a)

3493\sqrt{49}  

b)

636\sqrt{3}  

c)

737\sqrt{3}  

d)

979\sqrt{7}  

32.

112\sqrt{112}  

a)

474\sqrt{7}  

b)

16316\sqrt{3}  

c)

16716\sqrt{7}  

d)

434\sqrt{3}  

33.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
34.
-4√100
a)
-400
b)
-40
c)
-400√100
d)
-40√100
35.

50\sqrt{50}  

a)

525\sqrt{2}  

b)

5\sqrt{5}   

c)

252\sqrt{5}  

d)

25225\sqrt{2}  

36.

45\sqrt{45}  =


a)

353\sqrt{5}  

b)

535\sqrt{3}  

c)

959\sqrt{5}  

d)

595\sqrt{9}  

37.

Factor the following quadratic.

2x2+9x+4

Example answer:

(x+4)(x-3)

(a)  

38.

Factor the following quadratic.

2x2+11x+12

Example answer:

(x+4)(x-3)

(a)  

39.

Factor the following quadratic.

2x2+13x+20

Example answer:

(x+4)(x-3)

(a)  

40.

Factor the following quadratic.

2x2+7x-4

Example answer:

(x+4)(x-3)

(a)  

41.

Factor the following quadratic.

2x2+5x-12

Example answer:

(x+4)(x-3)

(a)  

42.

Factor the following quadratic.

2x2+3x-20

Example answer:

(x+4)(x-3)

(a)  

43.

Factor the following quadratic.

3x2+13x+4

Example answer:

(x+4)(x-3)

(a)  

44.

Factor the following quadratic.

3x2+14x+8

Example answer:

(x+4)(x-3)

(a)  

45.

Factor the following quadratic.

3x2+16x+16

Example answer:

(x+4)(x-3)

(a)  

46.

Factor the following quadratic.

3x2+17x+20

Example answer:

(x+4)(x-3)

(a)  

47.

Solve by graphing.

x2+8x=0

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

If there is no solution, write "no solutions"

(a)  

48.

Solve by graphing.

x2-3x-18=0

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

If there is no solution, write "no solutions"

(a)  

49.

Solve by graphing.

x2-6x+4=-8

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

If there is no solution, write "no solutions"

(a)  

50.

Solve by graphing.

9-x2=12

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

If there is no solution, write "no solutions"

(a)  

51.

Solve by graphing.

x2+4x-5=0

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

If there is no solution, write "no solutions"

(a)  

52.

Solve by graphing.

x2+3x-8=2

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

If there is no solution, write "no solutions"

(a)  

53.

Solve by graphing.

x2+2x=15

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

If there is no solution, write "no solutions"

(a)  

54.

Solve by graphing.

x2+x-5=15

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

If there is no solution, write "no solutions"

(a)  

55.

Solve by graphing.

x2+4x+4=0

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

If there is no solution, write "no solutions"

(a)  

56.

Solve by graphing.

x2+5x+3=-3

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

If there is no solution, write "no solutions"

(a)  

57.

Solve by graphing.

x2+6x+5=-3

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

If there is no solution, write "no solutions"

(a)  

58.

Solve by graphing.

x2+7x+6=-4

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

If there is no solution, write "no solutions"

(a)  

59.

Solve by graphing.

x2+7x+6=-6

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

If there is no solution, write "no solutions"

(a)  

60.

Solve by graphing.

x2+8x+15=0

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

If there is no solution, write "no solutions"

(a)  

61.

Solve by graphing.

x2+2x-3=0

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

If there is no solution, write "no solutions"

(a)  

62.

Solve by graphing.

x2+x-6=0

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

If there is no solution, write "no solutions"

(a)  

63.

Solve by graphing.

x2-9=0

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

If there is no solution, write "no solutions"

(a)  

64.

Solve by graphing.

x2-x-11=1

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

If there is no solution, write "no solutions"

(a)  

65.
Simplify:
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
66.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
67.
Solve
3x2 - 5 = -446
a)
±√-147
b)
7i√3
c)
±7i√3
d)
-7√3
68.

Simplify 4−9i4+14i\frac{4-9i}{4+14i}  

a)

−753+49i106\frac{-7}{53}+\frac{49i}{106}  

b)

415−3i5\frac{4}{15}-\frac{3i}{5}  

c)

−55106−23i53-\frac{55}{106}-\frac{23i}{53}  

d)

421−3i7\frac{4}{21}-\frac{3i}{7}  

69.

Simplify   8+5i1−7i\frac{8+5i}{1-7i}  

a)

  −3+76i65\frac{-3+76i}{65}  

b)

  11+77i50\frac{11+77i}{50}  

c)

  −11−5i7\frac{-11-5i}{7}  

d)

−27+61i50\frac{-27+61i}{50}  

70.

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

a)

−27−15i53\frac{-27-15i}{53}  

b)

48−44i53\frac{48-44i}{53}  

c)

74−3i\frac{7}{4}-3i  

d)

108−124i169\frac{108-124i}{169}  

71.

Simplify 5−1−9i\frac{5}{-1-9i}  

a)

−2+18i41\frac{-2+18i}{41}  

b)

−5+45i82\frac{-5+45i}{82}  

c)

−5+45i86\frac{-5+45i}{86}  

d)

−2+9i17\frac{-2+9i}{17}  

72.

Simplify 1−10+12i\frac{1}{-10+12i}  

a)

−11−12i265\frac{-11-12i}{265}  

b)

−15122−9i61-\frac{15}{122}-\frac{9i}{61}  

c)

−5122−3i61-\frac{5}{122}-\frac{3i}{61}  

d)

5+6i61\frac{5+6i}{61}  

73.

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

a)

3 + 15i

b)

13 + 3i

c)

-13 + 3i

d)

13 - 3i

74.

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

a)

2 + 10i

b)

-12 - 8i

c)

12 - 8i

d)

12 + 8i

75.

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

a)

-6 - 36i

b)

21i2−36i+1521i^2-36i+15  

c)

36 + 6i

d)

-6 + 36i

76.

  (13−9i)⋅(13+9i)\left(\sqrt[]{13}-9i\right)\cdot\left(\sqrt[]{13}+9i\right)  

a)

22

b)

94

c)

13+81i13+81i  

d)

13−81i13-81i   

77.

Which of the following is equivalent to:

−12\sqrt[]{-12}  

a)

2i 32i\ \sqrt[]{3}  

b)

2i 22i\ \sqrt[]{2}  

c)

3i 33i\ \sqrt[]{3}  

d)

3i 23i\ \sqrt[]{2}  

78.

ii  can be defined as

a)

−1-1  

b)

−1\sqrt{-1}  

c)

(−1)2\left(-1\right)^2  

d)

−i-i  

79.
Solve.
4x² - 7 = -10
a)
x = ± (3i)/2
b)
x = ± (i√3)/2
c)
x = ± (i√3)/4
d)
x = ± (i√6)/4
80.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
81.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
82.
a)
A
b)
B
c)
C
d)
D
83.
Multiply: 
(4 – 3i)(-7 – 2i)
a)
A.  -23 + 13i
b)
B.  -23 - 29i
c)
C.  -34 + 13i
d)
D.  -34 - 29i
84.
Find the product
(1+3i)(2-i)
a)
5+5i
b)
5-5i
c)
2-3i
d)
5+7i
85.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
86.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

87.

(-7+6i)2

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

88.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
89.

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

a)

121 -110i

b)

121 + 110i

c)

146

d)

121 - 25i2

90.

Simplify i37

a)

1

b)

i

c)

-i

d)

-1

91.

Simplify i24

a)

i

b)

1

c)

-1

d)

-i

92.

Simplify i43

a)

1

b)

i

c)

-i

d)

-1

93.
a)
10
b)
-10
c)
10i
d)
-10i
94.

What does i2 equal?

a)

-1

b)

√-1

c)

1

d)

-√1

95.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
96.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
97.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
98.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

99.
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
100.
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
101.
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
102.
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
103.
x2 + 15x + 44 = 0
a)
{-8, 2}
b)
{-7, 5}
c)
{-11, -4}
d)
{-11}
104.

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\}

105.

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\}

106.

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\}

107.
What is the first question you ask yourself when factoring a polynomial? 
a)
How many terms does it have? 
b)
Is there a GCF? 
c)
What strategy should I use? 
d)
Why do I have to learn this?!?!?!
108.

Solve by factoring. z2 + 81 = 18z

a)
z = 9
b)
z = -9
c)
z = 9 or z = -9
109.

Solve:

k2 - 2k = 24

a)

k = -4, 6

b)

k = -4, -6

c)

k = -6, 1

d)

k = 4, -6

110.

x2 + 4x -32 = 0

a)

x = -8, 4

b)

x = 8, -4

c)

x = -8, -4

d)

x = 8, 4

111.

x2 = 18x - 81

a)

x = -9, -9

b)

x = 9, 9

c)

x = -9, 9

d)

No solution

112.

4x2 + 7x - 17 = 3x2 + 12x - 3

a)

x = -7, -2

b)

x = 7, -2

c)

x = -7, 2

d)

x = 7, 2

113.

6x2 - x - 2 = 0

a)

x = -2/3, 1/2

b)

x = 2/3, -1/2

c)

x = -2/3, -1/2

d)

x = 2/3, 1/2

114.

81x2 = 25

Choose 2.

a)

x = 5/9, -5/9

b)

x = -5/9, -5/9

c)

x = 5/9, 5/9

d)

x = -.555..., .555...

115.

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

116.

Solve by factoring:

x2 + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

117.
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
118.
Solve by factoring: 2x2 - 5x - 12 = 0
a)
x = -4 and x = -6
b)
x = 4 and x = -3/2
c)
x = 4 and x = 6
d)
x = -4 and x = 3/2
119.
Solve by factoring: 5x2 + 13x + 6 = 0
a)
x = -2 and x = -3/5
b)
x = 2 and x = 3/5
c)
x = -2 and x = 3/5
d)
x = 2 and x = -3/5
120.
x2 + 15x + 44 = 0
a)
{-8, 2}
b)
{-7, 5}
c)
{-11, -4}
d)
{-11}
121.
Solve
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3
122.
Solve by factoring:  2x2+ 7x + 6 = 0
a)
x= 3/2 and x = 2
b)
x = -3/2 and x = -2
c)
x = 6 and x = 7
d)
x = -6 and x = -7
123.
Solve by factoring:3x2 + 5x + 2 = 0  
a)
x = -2/3 and x = -1
b)
x = -3/2 and x = -1
c)
x = 2/3 and x = 1
d)
x = 2/3 and x = -1
124.
Solve by factoring:  4x2 + 11x - 3 = 0
a)
x = -3/4 and x = -1
b)
x = 4 and x = 3
c)
x = 1/4 and x = -3
d)
x = -1/4 and x = 3
125.
Solve by factoring: 5x2 + 13x + 6 = 0
a)
x = -2 and x = -3/5
b)
x = 2 and x = 3/5
c)
x = -2 and x = 3/5
d)
x = 2 and x = -3/5
126.

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

127.

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

128.
Solve.
n² - 2n = 0
a)
n = 2 and 0
b)
n = -2 and 0
c)
n = 2
d)
n = 0
129.
Solve for x by factoring.
x2 -8x +12=0
a)
-6, -2
b)
-2, 6
c)
2, 6
d)
-6, 2
130.
x2 + 15x + 44 = 0
a)
{-8, 2}
b)
{-7, 5}
c)
{-11, -4}
d)
{-11}
131.

x2−100=0x^2-100=0  

a)

{25,4}\left\{25,4\right\}  

b)

{−50,2}\left\{-50,2\right\}  

c)

{−10,10}\left\{-10,10\right\}  

d)

{0,100}\left\{0,100\right\}  

132.

3p2−17p=30−8p3p^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\}  

133.

Factor and solve:

z2 − 14z + 45 = 0

a)

z = 1, 45

b)

z = −1, 45

c)

z = −5, 9

d)

z = 5, 9

134.

x2=18x-81

a)

x= -9, -9

b)

x= 9, 9

c)

x= -9, 9

135.

Select the solution(s) for the quadratic:   x2−11x+19=−5x^2-11x+19=-5  

a)

3

b)

8

c)

-9

d)

-3

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