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Review Quiz (Semi-Final) Gen.Math

Total questions: 201

Worksheet time: 16hrs 18mins

Name
Class
Date
1.
What are the asymptotes?
a)
x=1, x= 2, y =1, y= 2
b)
x= 2, x=-2, y = 1
c)
x=2 y =-1
d)
x=1 y =2, y =-2
2.
What is the horizontal asymptote to this function?
a)
y=4
b)
y=0
c)
y=-2
d)
y=1
3.
What is the horizontal asymptote of this function?
a)
y=2
b)
x=1/2
c)
y=1
d)
y=1/2
4.
What are the asymptotes?
a)
x=1, x= 2, y =1, y= 2
b)
x= 2, x=-2, y = 1
c)
x=2 y =-1
d)
x=1 y =2, y =-2
5.
What is the horizontal asymptote to this function?
a)
y=4
b)
y=0
c)
y=-2
d)
y=1
6.
What is the horizontal asymptote?
a)
y = -4
b)
y = 1
c)
x = 1
d)
y = -6
7.
Find the horizontal asymptote.
a)
None
b)
y=-2
c)
y=2
d)
y=0
8.
What is the horizontal asymptote of this function?
a)
y=2
b)
x=1/2
c)
y=1
d)
y=1/2
9.
What is the Vertical Asymptotes? 
a)
x= -5
b)
x= 5
c)
x= 6
d)
x= -6
10.
What is the horizontal asymptote to this function?
a)
y=4
b)
y=0
c)
y=-2
d)
y=1
11.
What is the horizontal asymptote?
a)
y = -4
b)
y = 1
c)
x = 1
d)
y = -6
12.
What is the Vertical Asymptotes? 
a)
x= -5
b)
x= 5
c)
x= 6
d)
x= -6
13.

Find the x-intercept(s), if one exists.

a)

(1, 0)

b)

(-1, 0)

c)

(1, 0), (-1, 0)

d)

(0, 0), (1, 0)

14.

What are the coordinates of the y-intercept, if one exists.

a)

(0, 0)

b)

(0, 1)

c)

(0, -1)

d)

there isn't one

15.

What are the x and y intercepts?

a)

(4, 0) and (0, -4)

b)

(-4, 0) and (0, -4)

c)

(-4, 0) and (0, 4)

d)

(0, 0) and (0, -4)

16.

Find the y-intercept.

a)

(0, -2)

b)

(0, 2)

c)

(0, 4)

d)

it is undefined

17.
What is the X-Intercept?
a)
x= 0
b)
x= 4
c)
x= 5
d)
x= -5
18.

What is the equation of the horizontal asymptote?

a)

y = 0

b)

y = -2

c)

y = 2

d)

There isn't one

19.

What are the asymptotes?

a)

x=-1 y = -3

b)

x=1 y = -3

c)

x=-1 y =3

d)

x=1, y=3

20.

What are the x intercepts of h(x)=x2−9x2−x−6h\left(x\right)=\frac{x^2-9}{x^2-x-6}  

a)

x=3, −3x=3,\ -3  

b)

x=−2x=-2  

c)

x= −3x=\ -3  

d)

x=3x=3  

21.

What is the y intercept of h(x)=x2−9x2−x−6h\left(x\right)=\frac{x^2-9}{x^2-x-6}  

a)

1 

b)

−23-\frac{2}{3}  

c)

  32\frac{3}{2}  

d)

x=3x=3  

22.

What is the vertical asymptote of f(x)=x2+3x−3x+4f\left(x\right)=\frac{x^2+3x-3}{x+4}  

a)

x=4x=4  

b)

no vertical asymptoteno\ vertical\ asymptote  

c)

x=−4x=-4  

d)

y=1y=1  

23.

What is the horizontal asymptote of f(x)=x2+3x−3x+4f\left(x\right)=\frac{x^2+3x-3}{x+4}  

a)

y=4y=4  

b)

no horizontal asymptoteno\ horizontal\ asymptote  

c)

y=−4y=-4  

d)

y=1y=1  

24.

What are the x interecepts of f(x)=x2+3x−3x+4f\left(x\right)=\frac{x^2+3x-3}{x+4}  

a)

y=3, −3y=3,\ -3  

b)

x=.8, −3.8x=.8,\ -3.8  

c)

x=−1, 1x=-1,\ 1  

d)

x= −.8, 3.8x=\ -.8,\ 3.8  

25.

What is the y interecept of f(x)=x2+3x−3x+4f\left(x\right)=\frac{x^2+3x-3}{x+4}  

a)

y=−34y=-\frac{3}{4}  

b)

y=.8y=.8  

c)

y= 1y=\ 1  

d)

x= −3x=\ -3  

26.
Solve!
a)
x = 2
b)
x = 6
c)
x = 4
d)
x = 8
27.
3/4(6x + 2) = 15
a)
3
b)
6
c)
18
d)
20
28.
a)
1/7
b)
47/36
c)
7
d)
23
29.
a)
19
b)
-9
c)
-100
d)
-50
30.
Clear the equation to solve.
a)
1
b)
2
c)
4.67
d)
12
31.
a)
30
b)
43
c)
46
d)
54
32.

Solve for x.

a)

-4

b)

0

c)

12\frac{1}{2}

d)

4

33.
a)
4 ¾
b)
3 ⅓
c)
5 ⅜
d)
3 ⅙
34.
-3/4 x + 1/2 = 3/8
a)
x = -1/6
b)
x = 3/32
c)
x = 1/6
d)
x = -3/32
35.
a)
30
b)
43
c)
46
d)
54
36.

(⅜)x + ½ = ¾

a)

2/3

b)

3/2

c)

1

d)

-3

37.

24 = 3(3x −7)24\ =\ 3\left(3x\ -7\right)

a)

x = −9x\ =\ -9  

b)

x = 5x\ =\ 5  

c)

x =3x\ =3  

d)

x = 7x\ =\ 7  

38.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
39.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
40.

Solve:

2(2x + 3) = -6(x + 9)

a)
1.2
b)
6
c)
-6
d)
7.5
41.

Solve:

7x + 19 = -2x + 55

a)
4
b)
14.8
c)
8.2
d)
-4
42.

5(2x + 6) = −4(−5 −2x)+ 3x5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x  

a)

x =−20x\ =-20  

b)

x = 20x\ =\ 20  

c)

x =−10x\ =-10  

d)

x = 10x\ =\ 10  

43.

−5(4x − 2) = −2(3 +6x)-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)  

a)

x = 2x\ =\ 2  

b)

x = 8x\ =\ 8  

c)

x = −2x\ =\ -2  

d)

x = −8x\ =\ -8  

44.

Try on your own. Solve for y.

a)

-1

b)

0

c)

1

d)

-2

45.

True or False.

The LCD of the equation xx − 1−3x= 6\frac{x}{x\ -\ 1}-\frac{3}{x}=\ 6  is x(x - 1).

a)

True

b)

False

46.

What is the LCD of the equation 2(3x + 2)2 + 13x + 2 − 3 = 0\frac{2}{\left(3x\ +\ 2\right)^2}\ +\ \frac{1}{3x\ +\ 2}\ -\ 3\ =\ 0  ?

a)

3x + 2

b)

(3x + 2)2

c)

(3x + 2)(3x + 2)2

d)

3(3x + 2)

47.

Find the solution set of 1x+62x= x\frac{1}{x}+\frac{6}{2x}=\ x  

a)

±7\pm7  

b)

±5\pm5  

c)

±4\pm4  

d)

±2\pm2  

48.

Solve for x:  53−2x=8x\frac{5}{3}-\frac{2}{x}=\frac{8}{x}  

a)

2

b)

18/5

c)

26/5

d)

6

49.

Solve the equation for x: 2x+2+5x −2=6x2−4\frac{2}{x+2}+\frac{5}{x\ -2}=\frac{6}{x^2-4}  

a)

7

b)

6

c)

14

d)

0

50.

Solve for x:  5x−2+x−6x2−2x=1x\frac{5}{x-2}+\frac{x-6}{x^2-2x}=\frac{1}{x}  

a)

x = 5

b)

x = 45\frac{4}{5}

c)

x = 1

d)

x = - 4

51.

Solve: 2x−2−1x+1=2x2−x−2\frac{2}{x-2}-\frac{1}{x+1}=\frac{2}{x^2-x-2}  

a)

x = 2

b)

x = -2

c)

x = 6

d)

x = 3

52.

Solve x−23x=13x+2\frac{x-2}{3x}=\frac{1}{3x}+2  

a)

0

b)

−35-\frac{3}{5}  

c)

-2

d)

−15-\frac{1}{5}  

53.

Solve for y y+23−y−14=23\frac{y+2}{3}-\frac{y-1}{4}=\frac{2}{3}  

a)

y = -9

b)

y = -3

c)

y=1

d)

y = 3

54.

2n+16n−8=12n−16−12\frac{2n+16}{n-8}=\frac{1}{2n-16}-\frac{1}{2}  

a)

−235-\frac{23}{5}  

b)

77  

c)

−4-4  

d)

43\frac{4}{3}  

55.

7x−49x2+8x+12=3x+6+1x+2\frac{7x-49}{x^2+8x+12}=\frac{3}{x+6}+\frac{1}{x+2}  

a)

−2-2  

b)

55  

c)

66  

d)

613\frac{61}{3}  

56.

1a+1=4a+12a2+a+1a\frac{1}{a+1}=\frac{4a+12}{a^2+a}+\frac{1}{a}  

a)

−134-\frac{13}{4}  

b)

−7, 1-7,\ 1  

c)

−1-1  

d)

77  

57.

5k+7=1k+3+2k−2k2+10k+21\frac{5}{k+7}=\frac{1}{k+3}+\frac{2k-2}{k^2+10k+21}  

a)

22  

b)

11  

c)

−5-5  

d)

55  

58.

1x+3=3x+2−7x2+5x+6\frac{1}{x+3}=\frac{3}{x+2}-\frac{7}{x^2+5x+6}  

a)

5

b)

00  

c)

88  

d)

33  

59.

Solve for x: x−8=−15xx-8=-\frac{15}{x}  

a)

x = 5, x = 3

b)

x = −5, x = −3

c)

x = 5

d)

x = −3

60.

Solve for x: 2x+2+5x−2=6x2−4\frac{2}{x+2}+\frac{5}{x-2}=\frac{6}{x^2-4}  

a)

7

b)

6

c)

14

d)

0

61.

Solve for x:  6x+18x2+1x=3x\frac{6x+18}{x^2}+\frac{1}{x}=\frac{3}{x}  

a)

x = 4.5

b)

x = -4.5

c)

x = 3

d)

x = -3

62.

Solve for x: 5x+2=1x−4\frac{5}{x+2}=\frac{1}{x-4}  

a)

x = 5

b)

x = 4

c)

x = 5.5

d)

x = -4

63.
a)

3/5

b)

3/4

c)

1/4

d)

4/5

64.
a)

-25/3

b)

4

c)

-6

d)

25/3

65.
a)

2

b)

1

c)

-1

d)

-4

66.
a)

3/4

b)

4/3

c)

2/5

d)

1/4

67.
a)

2

b)

3

c)

4

d)

5

68.
a)

5

b)

-2

c)

3

d)

-7

69.
a)

13/5

b)

-13/5

c)

5/13

d)

-5/13

70.
a)

1

b)

5

c)

-2

d)

-1

71.
a)

7

b)

-3

c)

12

d)

14

72.
a)

1/2

b)

1/3

c)

1/5

d)

1/4

73.
a)

2

b)

5

c)

-2

d)

-5

74.
a)

1

b)

1/3

c)

2

d)

2/3

75.
a)

5

b)

7

c)

12

d)

21

76.
a)

5/2

b)

2/5

c)

-5/2

d)

-2/5

77.
a)

3

b)

5

c)

1

d)

7

78.
a)

21

b)

27

c)

5

d)

31

79.
a)

-1

b)

-5

c)

-2

d)

-3

80.
a)

4/3

b)

5/3

c)

2/3

d)

1/3

81.
a)

0

b)

-1

c)

-2

d)

-3

82.
a)

5/4

b)

2/5

c)

1/3

d)

4/3

83.
a)

5 and 1

b)

5 and 3

c)

1 and 7

d)

3 and 5

84.
Solve for x
a)
x = -3
b)
x = -3, 5
c)
x = 3, 5
d)
x = 5
85.

Match this number line

to its correct solution.

a)

x > 2

b)

x > 2

c)

x < 2

d)

x < 2

86.

Match this number line

to its correct solution.

a)

x > -2

b)

x < -2

c)

x > -2

d)

x < -2

87.

Solve the linear inequality.

a)

x < 0

b)

x > 0

c)

x < 3

d)

x > 3

88.

Solve the linear inequality.

a)

x > 1

b)

x > 5

c)

x > -1

d)

x < -1

89.

Solve the linear inequality.

a)

x < 5

b)

x > 5

c)

x < 5

d)

x > 5

90.

Solve the linear inequality.

-5x < 15


(Note: When dividing

by a negative,

'flip' the inequality symbol.)

a)

x > 3

b)

x < 3

c)

x > -3

d)

x < -3

91.

Solve the linear inequality.

a)

x > -2

b)

x < -2

c)

x < 2

d)

x > 2

92.

Solve the linear inequality.

a)

y>−143y>-\frac{14}{3}

b)

y<−143y<-\frac{14}{3}

c)

y>−6y>-6

d)

y<−6y<-6

93.

Match this number line

to its correct solution.

a)

x > 1

b)

x > 1

c)

x < 1

d)

x < 1

94.

Match this number line

to its correct solution.

a)

x > -2

b)

x > -2

c)

x < -2

d)

x < -2

95.

Solve −2(2x−7)≤54-2\left(2x-7\right)\le54  

a)

x≥−10x\ge-10  

b)

x≤−10x\le-10  

c)

x≥10x\ge10  

d)

x≤10x\le10  

96.

Match the given graph with the inequality.

a)

x≤4x\le4

b)

x<−4x<-4

c)

x≥−4x\ge-4

d)

x<4x<4

97.

"At least" and "no fewer than" are clue phrases for the symbol

a)

<

b)

>

c)

≤\le

d)

≥\ge

98.

x=10x=10 makes the inequality −2x−13>31-2x-13>31 ____.

a)

true

b)

false

99.

Solve −2k>18-2k>18

a)

k>20k>20  

b)

k<−9k<-9  

c)

k>−9k>-9  

d)

k<16k<16  

100.

Write an inequality for this situation: You are driving along a highway for which the maximum speed limit is 55 mph.

a)

s<55s<55

b)

s>55s>55

c)

s≤55s\le55

d)

s≥55s\ge55

101.

"At most" and "no more than" are both clue phrases for the symbol

a)

<

b)

>

c)

≤\le

d)

≥\ge

102.

When you graph an inequality on a number line, you should use an open circle/dot when the inequality has which symbols?

a)

≤,≥\le,\ge

b)

<,><,>

c)

≥,>\ge,>

d)

<,≤<,\le

103.

Solve −2x+3(6−4x)≤116-2x+3\left(6-4x\right)\le116

a)

x≤−7x\le-7  

b)

x≥−7x\ge-7  

c)

x≥29x\ge29  

d)

x≤29x\le29  

104.

Solve 20<4x20<4x  

a)

x>5x>5  

b)

x>16x>16  

c)

x<5x<5  

d)

x>24x>24  

105.

x=15x=15  makes the inequality  x+9>21x+9>21 ____.

a)

true

b)

false

106.

When you graph an inequality on a number line, you should use a closed circle/dot when the inequality has which symbols?

a)

≤,≥\le,\ge

b)

<,><,>

c)

≥,>\ge,>

d)

<,≤<,\le

107.
x2 - 3x > 2x
a)
(-∞, 0) U (5, ∞)
b)
(0, 5)
c)
(-∞, 0] U [5, ∞)
d)
(-∞, ∞)
108.
x3 − 4x2 + x + 6 < 0
a)
(-∞, -1) U (2, 3)
b)
(-1, 2) U (3, ∞)
c)
(-∞, 3)
d)
(-1, 3)
109.
x​3 − 2x​2 ​​+ x ≥ 0
a)
[0, ∞)
b)
[1, ∞)
c)
(-∞, 0]
d)
(0, 1)
110.
x2 − 5x − 6 ≥ 0 
a)
(−∞, −1] U [6, ∞) 
b)
[-1, 6]
c)
(-1, 6)
d)
[-1, ∞)
111.
x2-2x ≥ 8
a)
[-2, 4]
b)
[4, ∞)
c)
(-∞, -2]
d)
(-∞, -2]; [4,∞)
112.
x2 - 2x - 3 < 0
a)
(-1, 3)
b)
(-∞, -1); (3, ∞)
c)
(3, ∞)
d)
(-∞, -1)
113.
(x-9) / (x+3) < 0
a)
(-∞, -3)
b)
(-3,9)
c)
(-∞, -3); (9,∞)
d)
(9,∞)
114.
x / (x + 7) > 0
a)
(-∞, -7); (0, ∞)
b)
(-∞, -7]; [0, ∞)
c)
(-7, 0]
d)
(0, ∞)
115.
(2x) / (x + 7) < x
a)
(-∞, -7); (0, ∞)
b)
(-∞, 5); (7, ∞)
c)
(-∞, -7); (-5, 0)
d)
(-7, -5); (0, ∞)
116.

Solve the inequality in interval notation

x2−9≤0x^2-9\le0  

a)

(−∞,−3)∪(3,∞)\left(-\infty,-3\right)\cup\left(3,\infty\right)  

b)

(−3,3)\left(-3,3\right)  

c)

[−∞,−3]∪[3,∞]\left[-\infty,-3\right]\cup\left[3,\infty\right]  

d)

[−3,3]\left[-3,3\right]  

117.

Solve the inequality in interval notation

x+2x−4≥3\frac{x+2}{x-4}\ge3  

a)

(−∞,4)∪(7,∞)\left(-\infty,4\right)\cup\left(7,\infty\right)  

b)

(4,7]\left(4,7\right]  

c)

[−∞,4]∪[7,∞]\left[-\infty,4\right]\cup\left[7,\infty\right]  

d)

[4,7)\left[4,7\right)  

118.

Solve the inequality in interval notation

x2−x−12>0x^2-x-12>0  

a)

(−∞,−3)∪(4,∞)\left(-\infty,-3\right)\cup\left(4,\infty\right)  

b)

(−3,4)\left(-3,4\right)  

c)

[−∞,−3]∪[4,∞]\left[-\infty,-3\right]\cup\left[4,\infty\right]  

d)

[−3,4]\left[-3,4\right]  

119.

Solve the inequality in interval notation

3x2x2+4≥1.5\frac{3x^2}{x^2+4}\ge1.5  

a)

(−∞,−2)∪(2,∞)\left(-\infty,-2\right)\cup\left(2,\infty\right)  

b)

(−2,2)\left(-2,2\right)  

c)

(−∞,−2]∪[2,∞)\left(-\infty,-2\right]\cup\left[2,\infty\right)  

d)

[−2,2]\left[-2,2\right]  

120.

Solve the inequality in interval notation

−x2−11x+12<0-x^2-11x+12<0  

a)

(−∞,−12)∪(1,∞)\left(-\infty,-12\right)\cup\left(1,\infty\right)  

b)

(−12,1)\left(-12,1\right)  

c)

(−∞,−12]∪[1,∞)\left(-\infty,-12\right]\cup\left[1,\infty\right)  

d)

[−12,1]\left[-12,1\right]  

121.

Solve the inequality in interval notation

x+6x+1−2≥0\frac{x+6}{x+1}-2\ge0  

a)

(−∞,−1)∪(4,∞)\left(-\infty,-1\right)\cup\left(4,\infty\right)  

b)

(−1,4]\left(-1,4\right]  

c)

(−∞,−1]∪[4,∞)\left(-\infty,-1\right]\cup\left[4,\infty\right)  

d)

[−1,4]\left[-1,4\right]  

122.

Solve the inequality in interval notation

x2−8x+15>0x^2-8x+15>0  

a)

(−∞,3)∪(5,∞)\left(-\infty,3\right)\cup\left(5,\infty\right)  

b)

(3,5)\left(3,5\right)  

c)

(−∞,3]∪[5,∞)\left(-\infty,3\right]\cup\left[5,\infty\right)  

d)

[3,5]\left[3,5\right]  

123.

Solve the inequality in interval notation

5+7x1+2x≥4\frac{5+7x}{1+2x}\ge4  

a)

(−∞,−12)∪(1,∞)\left(-\infty,-\frac{1}{2}\right)\cup\left(1,\infty\right)  

b)

(−12,1]\left(-\frac{1}{2},1\right]  

c)

(−∞,−12]∪[1,∞)\left(-\infty,-\frac{1}{2}\right]\cup\left[1,\infty\right)  

d)

[−12,1)\left[-\frac{1}{2},1\right)  

124.

Solve the inequality in interval notation

2x3+2x2−4x≤02x^3+2x^2-4x\le0  

a)

[−∞,−2]∪[0,1]\left[-\infty,-2\right]\cup\left[0,1\right]  

b)

(−∞,−2)∪(0,1)\left(-\infty,-2\right)\cup\left(0,1\right)  

c)

(−∞,−2]∪[0,1]\left(-\infty,-2\right]\cup\left[0,1\right]  

d)

(−∞,−2)∪[0,1]\left(-\infty,-2\right)\cup\left[0,1\right]  

125.

Solve the inequality in interval notation

x3−2x2−11x+12≥0x^3-2x^2-11x+12\ge0  

a)

[−3,1]∪[4,∞]\left[-3,1\right]\cup\left[4,\infty\right]  

b)

(−3,1)∪(4,∞)\left(-3,1\right)\cup\left(4,\infty\right)  

c)

(−3,1]∪[4,∞)\left(-3,1\right]\cup\left[4,\infty\right)  

d)

[−3,1]∪[4,∞)\left[-3,1\right]\cup\left[4,\infty\right)  

126.

≤\le  is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

127.

>>  is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

128.

≥\ge  is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

129.

<<  is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

130.

Solution sets to inequalities can be graphed on__________

a)

number lines

b)

tables

c)

calculators

d)

in the sky

131.

Solve the following inequality:

−2b+4>−6-2b+4>-6  

a)

b>5b>5  

b)

x>5x>5  

c)

b=5b=5  

d)

b<5b<5  

132.

Solve the following inequality:

3x+15≤213x+15\le21  

a)

x≥2x\ge2  

b)

x=2x=2  

c)

x≤2x\le2  

d)

x<2x<2  

133.

Solve the following inequality:

d2−1≥3\frac{d}{2}-1\ge3  

a)

d≥8d\ge8  

b)

d=8d=8  

c)

d≤8d\le8  

d)

d≥2d\ge2  

134.

Solve the following inequality:

2p+5≥3p−102p+5\ge3p-10  

a)

p≤15p\le15  

b)

p<15p<15  

c)

p≤1p\le1  

d)

p≥15p\ge15  

135.

Solve the following inequality:

5(k+8)−7≤235\left(k+8\right)-7\le23  

a)

k≤2k\le2  

b)

k=−2k=-2  

c)

k≤−2k\le-2  

d)

k<2k<2  

136.

Solve the following inequality:

4k+15>−2k+34k+15>-2k+3  

a)

k>2k>2  

b)

k=−2k=-2  

c)

k>−2k>-2  

d)

k<2k<2  

137.

Solve the following inequality:

2(−3m−5)≥−282\left(-3m-5\right)\ge-28  

a)

m=3m=3  

b)

m≥3m\ge3  

c)

m≥236m\ge\frac{23}{6}  

d)

m≤3m\le3  

138.

Solve the following inequality:

 −6(w+1)<2(w+5)-6\left(w+1\right)<2\left(w+5\right) 

a)

 w=−2w=-2 

b)

 w>−2w>-2 

c)

 w<2w<2 

d)

 w>2w>2 

139.

Which inequality correctly matches what is graphed on the number line?

 

a)

x>3x>3   

b)

  x<3x<3  

c)

x=3x=3   

d)

  x≥3x\ge3  

140.

Which inequality correctly matches what is graphed on the number line?

 

a)

x=6x=6   

b)

  x≥6x\ge6  

c)

x<6x<6   

d)

  x≤6x\le6  

141.

Which inequality correctly matches what is graphed on the number line?

 

a)

x=0x=0   

b)

  x≥0x\ge0  

c)

x>0x>0   

d)

  x<0x<0  

142.

Which inequality correctly matches what is graphed on the number line?

 

a)

x≤−3x\le-3   

b)

  x≥−3x\ge-3  

c)

x<−3x<-3   

d)

  x<3x<3  

143.

If f(x)=x+5, what is f-1(x)?

a)

(x + 5)2

b)

x - 5

c)

(x + 5)-1

d)

undefined

144.

g(x)=x8g\left(x\right)=\frac{x}{8}  
Find  g−1(x)g^{-1}\left(x\right)  

a)

8x\frac{8}{x}  

b)

8x8x  

c)

18x\frac{1}{8}x  

d)

x÷8x\div8  

145.

f(x)=5x+1f\left(x\right)=5x+1  
Find  f−1(x)f^{-1}\left(x\right)  

a)

x−51\frac{x-5}{1}  

b)

x5−1\frac{x}{5}-1  

c)

x−15x-\frac{1}{5}  

d)

x−15\frac{x-1}{5}  

146.

f(x)=x−26f\left(x\right)=\frac{x-2}{6}  
Find  f−1(x)f^{-1}\left(x\right)  

a)

x−62\frac{x-6}{2}  

b)

6x+26x+2  

c)

2x+62x+6  

d)

6(x+2)6\left(x+2\right)  

147.

f(x)=8x−35f\left(x\right)=\frac{8x-3}{5}  
Find  f−1(x)f^{-1}\left(x\right)  

a)

5(8x+3)5\left(8x+3\right)  

b)

5x8+3\frac{5x}{8}+3  

c)

5(x+3)8\frac{5\left(x+3\right)}{8}  

d)

5x+38\frac{5x+3}{8}  

148.

f(x)=6x5+3f\left(x\right)=\frac{6x}{5}+3  
Find  f−1(x)f^{-1}\left(x\right)  

a)

5x−36\frac{5x-3}{6}  

b)

5(x−3)6\frac{5\left(x-3\right)}{6}  

c)

5x6−3\frac{5x}{6}-3  

d)

5x6+3\frac{5x}{6}+3  

149.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
150.

Find the inverse of f(x)=3x+2f\left(x\right)=3x+2  

a)

f−1(x)=x−23f^{-1}\left(x\right)=\frac{x-2}{3}  

b)

f−1(x)=x−32f^{-1}\left(x\right)=\frac{x-3}{2}  

c)

f−1(x)=3x2f^{-1}\left(x\right)=\frac{3x}{2}  

d)

f−1(x)=2+x3f^{-1}\left(x\right)=\frac{2+x}{3}  

151.

Find the inverse of f(x)=−5x−7f\left(x\right)=-5x-7  

a)

f−1(x)=5x+7−7f^{-1}\left(x\right)=\frac{5x+7}{-7}  

b)

f−1(x)=x+57f^{-1}\left(x\right)=\frac{x+5}{7}  

c)

f−1(x)=x+7−5f^{-1}\left(x\right)=\frac{x+7}{-5}  

d)

f−1(x)=7−5+xf^{-1}\left(x\right)=\frac{7}{-5+x}  

152.

Find the inverse of f(x)=−34x+5f\left(x\right)=-\frac{3}{4}x+5  

a)

f−1(x)=5(x−43)f^{-1}\left(x\right)=5\left(x-\frac{4}{3}\right)  

b)

f−1(x)=−34(x−5)f^{-1}\left(x\right)=-\frac{3}{4}\left(x-5\right)  

c)

f−1(x)=−43(x−5)f^{-1}\left(x\right)=-\frac{4}{3}\left(x-5\right)  

d)

f−1(x)=−5(x−34)f^{-1}\left(x\right)=-5\left(x-\frac{3}{4}\right)  

153.

Find the inverse of f(x)=−58x+10f\left(x\right)=-\frac{5}{8}x+10  

a)

f−1(x)=−85x−10f^{-1}\left(x\right)=-\frac{8}{5}x-10  

b)

f−1(x)=10(x−85)f^{-1}\left(x\right)=10\left(x-\frac{8}{5}\right)  

c)

f−1(x)=−58(x−10)f^{-1}\left(x\right)=-\frac{5}{8}\left(x-10\right)  

d)

f−1(x)=−85(x−10)f^{-1}\left(x\right)=-\frac{8}{5}\left(x-10\right)  

154.
The inverse of the function f(x) is written as ...
a)
f -1(x)
b)
f 2(x)
c)
f '(x)
d)
f +(x)
155.

Which is f -1(x)?

a)

f -1(x) = 5x + 3

b)

f -1(x) = 5x - 3

c)

f -1(x) = 5x - 15

d)

f -1(x) = 1/5(x) + 3/5

156.

Which is f -1(x)?

a)

f -1(x) = 3x + 5

b)

f -1(x) = 3x - 5

c)

f -1(x) = 3x - 15

d)

f -1(x) = 3x + 15

157.

What is the inverse of the points (1,3)(2,4)(6,2)?

a)
(2,6)(3,1)(4,2)
b)
(-3,-1)(-4,-2)(-2,-6)
c)
(1,3)(2,4)(6,2)
d)
(-1,-3)(-2,-4)(-6,-2)
158.

Find the inverse.

f(x)=2x-2      

a)
f-1(x)=1/2x+1
b)
f-1(x)=-2-1/2x
c)
f-1(x)=-7/3x-20/3
d)
2-2/5x
159.

FInd the inverse of the function.
f(x)=3x−152f\left(x\right)=\frac{3x-15}{2}  

a)

f−1(x)=−x−5f^{-1}\left(x\right)=-x-5  

b)

f−1(x)=3x+5f^{-1}\left(x\right)=3x+5  

c)

f−1(x)=15+2x3f^{-1}\left(x\right)=\frac{15+2x}{3}  

d)

f−1(x)=23x−193f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3}  

160.
What is the inverse in the given coordinates {(18,6), (6,2), (27,9), (21,7), (15,5)}
a)
{(6,18), (2,6), (9,27), (7,22), (5,15)}
b)
{(6,18), (6,2), (9,27), (7,21), (5,15)}
c)
{(6,18), (2,6), (9,27), (7,21), (5,15)}
d)
{(6,18), (2,6), (9,27), (7,21), (15,15)}
161.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
162.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
163.
Find the inverse of
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
164.

x−7<−12x-7<-12  

a)

x<−22x<-22  

b)

x<−5x<-5  

c)

x<−19x<-19  

d)

x<−8x<-8  

165.

3k+1>223k+1>22  

a)

k>4k>4  

b)

k>7k>7  

c)

k<−2k<-2  

d)

k<9k<9  

166.

5x+2≤−485x+2\le-48  

a)

x<−4x<-4  

b)

x<6x<6  

c)

x≥−8x\ge-8  

d)

x≤−10x\le-10  

167.

 6x−4≥−2x6x-4\ge-2x 

a)

 x≤12x\le\frac{1}{2} 

b)

 x≤14x\le\frac{1}{4} 

c)

 x≥12x\ge\frac{1}{2} 

d)

 x≥14x\ge\frac{1}{4} 

168.

Tell me what went wrong when solving this inequality.

4 lines
169.

What is the first step to solving the inequality?

−19≤3x−5≤1-19\le3x-5\le1  

a)

Divide all three sides by 3x

b)

Add 19 to all three sides

c)

Add 5 to all three sides

d)

Subtract 1 from all three sides

170.

−15<3x+6<−12-15<3x+6<-12  

a)

−15<x<−12-15<x<-12

b)

−3>x>−6-3>x>-6  

c)

−7<x<−6-7<x<-6  

d)

−1>x>−7-1>x>-7  

171.

Fill in the blank using the correct inequality sign.

x _ 2

(a)  

172.

What is the correct inequality for the following graph?

a)

×>3\times>3  

b)

x≥3x\ge3  

c)

x<3x<3  

d)

x≤3x\le3  

173.
a)

−2<x<5-2<x<5  

b)

−2>×≤5-2>\times\le5  

c)

−2<x≤5-2<x\le5  

d)

−2≥x≤5-2\ge x\le5  

174.

An inequality is

a)

A statement that two algebraic expressions are equal

b)

A point on a number line

c)

An equation with no solutions

d)

A statement consisting of algebraic expressions related by <,≤,>, or ≥<,\le,>,\ or\ \ge  

175.

6+2х=10

a)

-2

b)

2

c)

3

d)

4

176.

solve;

2х+13=4х\frac{2}{х}+\frac{1}{3}=\frac{4}{х}  

a)

3

b)

12

c)

-3

d)

6

177.


6х+54=7−4\frac{6}{х}+\frac{5}{4}=\frac{7}{-4}  

a)

-2

b)

-3

c)

2

d)

-5

178.


4хх−1=6\frac{4х}{х-1}=6  

a)

1

b)

3

c)

12

d)

-3

179.


1−8х−5=3х1-\frac{8}{х-5}=\frac{3}{х}  

a)

2  or 6

b)

1 or 13

c)

4 or 2

d)

1 or 12

180.


х+1х+2=х+5х+7\frac{х+1}{х+2}=\frac{х+5}{х+7}  

a)

3

b)

2

c)

5

d)

4

181.


24х−3=36х+3\frac{24}{х-3}=\frac{36}{х+3}  

a)

13

b)

16

c)

15

d)

18

182.


2х−1+3х+1=3\frac{2}{х-1}+\frac{3}{х+1}=3  

a)

-1/3              2

b)

5                   3

c)

1/2                 4

d)

1                    3

183.

х8+х10=1\frac{х}{8}+\frac{х}{10}=1  



a)

40/9

b)

4

c)

5

d)

-40/9

184.

х1.2=15\frac{х}{1.2}=15  

a)

3

b)

5

c)

18

d)

10

185.

Work out the inverse function


y = x + 9

a)

y = x - 9

b)

x = y + 9

c)

y = 9 - x

d)

x = 9 + y

186.

Work out the inverse function


y = x - 1

a)

y = 1 - x

b)

x = y + 1

c)

y = x + 1

d)

x = 1 + y

187.

Work out the inverse function


y = 3x

a)

y = x/3

b)

x = y/3

c)

y = 3/x

d)

x = 3/y

188.

Work out the inverse function


y = x/3

a)

y = -3x

b)

y = -6x

c)

y = 3x

d)

y = 1/6x

189.

Work out the inverse function


x = 4x

a)

x = x/4

b)

x = x4

c)

x = x/8

d)

x = x8

190.

Work out the inverse function

y =  2x  +  5

a)

y  =  x+52y\ \ =\ \ \frac{x+5}{2}  

b)

y  =  x−52y\ \ =\ \ \frac{x-5}{2}  

c)

y  =  x+25y\ \ =\ \ \frac{x+2}{5}  

d)

y  =  x−25y\ \ =\ \ \frac{x-2}{5}  

191.

Work out the inverse function

y =  4x  -  7

a)

y  =  x+74y\ \ =\ \ \frac{x+7}{4}  

b)

y  =  x−74y\ \ =\ \ \frac{x-7}{4}  

c)

y  =  x+47y\ \ =\ \ \frac{x+4}{7}  

d)

y  =  x−47y\ \ =\ \ \frac{x-4}{7}  

192.

Work out the inverse function

y  =  x2 x  1y\ \ =\ \ \frac{x}{2}\ x\ \ 1  

a)

y  =  1 (x-2)

b)

y  =  2 (x+1)

c)

y  =  2 (x-1)

d)

y  =  1 (x+2)

193.

Work out the inverse function

y  =  x−43 y\ \ =\ \ \frac{x-4}{3}\  

a)

y  =  3x+4

b)

y  =  3x-4

c)

y  =  4x+3

d)

y  =  4x-3

194.

Work out the inverse function

x  =  x+94 x\ \ =\ \ \frac{x+9}{4}\  

a)

x  =  3x+9

b)

x  =  3x-9

c)

x  =  4x-9

d)

x  =  4x+9

195.

f(x)=3xf\left(x\right)=3x   Find  f−1(x)f^{-1}\left(x\right)  

a)

x3\frac{x}{3}  

b)

3x\frac{3}{x}  

c)

0.3x0.3x  

d)

3x3x  

196.

f(x)=x−26f\left(x\right)=\frac{x-2}{6}  
Find  f−1(x)f^{-1}\left(x\right)  

a)

x−62\frac{x-6}{2}  

b)

6x+26x+2  

c)

2x+62x+6  

d)

6(x+2)6\left(x+2\right)  

197.

Which is the inverse of the table?

a)
b)
c)
d)
198.

If this is the table for f(x), what is the correct table for f-1(x)?

a)
b)
c)
d)
199.

Find the inverse of f(x)=14x−7f\left(x\right)=\frac{1}{4}x-7  

a)
f-1(x) = 4x + 7
b)

f-1(x) = -4(x-7)

c)
f-1(x) = -4x - 7
d)

f-1(x) = 4(x+7)

200.

Which is f -1(x)?

a)

f -1(x) = 3x + 5

b)

f -1(x) = 3x - 5

c)

f -1(x) = 3x - 15

d)

f -1(x) = 3x + 15

201.

f(x)=3x+107f\left(x\right)=\frac{3x+10}{7}  
Find  f−1(x)f^{-1}\left(x\right)  

a)

7x−1037x-\frac{10}{3}  

b)

7x3−10\frac{7x}{3}-10  

c)

7(x−10)3\frac{7\left(x-10\right)}{3}  

d)

7x−103\frac{7x-10}{3}