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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)=x29x2x6h\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)=x29x2x6h\left(x\right)=\frac{x^2-9}{x^2-x-6}  

a)

b)

23-\frac{2}{3}  

c)

  32\frac{3}{2}  

d)

x=3x=3  

22.

What is the vertical asymptote of f(x)=x2+3x3x+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+3x3x+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+3x3x+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+3x3x+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  13x= 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:  532x=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=6x24\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:  5x2+x6x22x=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: 2x21x+1=2x2x2\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 x23x=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+23y14=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+16n8=12n1612\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.

7x49x2+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+2k2k2+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+27x2+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: x8=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+5x2=6x24\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=1x4\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(2x7)54-2\left(2x-7\right)\le54  

a)

x10x\ge-10  

b)

x10x\le-10  

c)

x10x\ge10  

d)

x10x\le10  

96.

Match the given graph with the inequality.

a)

x4x\le4

b)

x<4x<-4

c)

x4x\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 2x13>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)

s55s\le55

d)

s55s\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(64x)116-2x+3\left(6-4x\right)\le116

a)

x7x\le-7  

b)

x7x\ge-7  

c)

x29x\ge29  

d)

x29x\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− 2x​​+ 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

x290x^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+2x43\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

x2x12>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+41.5\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

x211x+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+120\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

x28x+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+2x4\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+2x24x02x^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

x32x211x+120x^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+15213x+15\le21  

a)

x2x\ge2  

b)

x=2x=2  

c)

x2x\le2  

d)

x<2x<2  

133.

Solve the following inequality:

d213\frac{d}{2}-1\ge3  

a)

d8d\ge8  

b)

d=8d=8  

c)

d8d\le8  

d)

d2d\ge2  

134.

Solve the following inequality:

2p+53p102p+5\ge3p-10  

a)

p15p\le15  

b)

p<15p<15  

c)

p1p\le1  

d)

p15p\ge15  

135.

Solve the following inequality:

5(k+8)7235\left(k+8\right)-7\le23  

a)

k2k\le2  

b)

k=2k=-2  

c)

k2k\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(3m5)282\left(-3m-5\right)\ge-28  

a)

m=3m=3  

b)

m3m\ge3  

c)

m236m\ge\frac{23}{6}  

d)

m3m\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)

  x3x\ge3  

140.

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

 

a)

x=6x=6   

b)

  x6x\ge6  

c)

x<6x<6   

d)

  x6x\le6  

141.

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

 

a)

x=0x=0   

b)

  x0x\ge0  

c)

x>0x>0   

d)

  x<0x<0  

142.

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

 

a)

x3x\le-3   

b)

  x3x\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  g1(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  f1(x)f^{-1}\left(x\right)  

a)

x51\frac{x-5}{1}  

b)

x51\frac{x}{5}-1  

c)

x15x-\frac{1}{5}  

d)

x15\frac{x-1}{5}  

146.

f(x)=x26f\left(x\right)=\frac{x-2}{6}  
Find  f1(x)f^{-1}\left(x\right)  

a)

x62\frac{x-6}{2}  

b)

6x+26x+2  

c)

2x+62x+6  

d)

6(x+2)6\left(x+2\right)  

147.

f(x)=8x35f\left(x\right)=\frac{8x-3}{5}  
Find  f1(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  f1(x)f^{-1}\left(x\right)  

a)

5x36\frac{5x-3}{6}  

b)

5(x3)6\frac{5\left(x-3\right)}{6}  

c)

5x63\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)

f1(x)=x23f^{-1}\left(x\right)=\frac{x-2}{3}  

b)

f1(x)=x32f^{-1}\left(x\right)=\frac{x-3}{2}  

c)

f1(x)=3x2f^{-1}\left(x\right)=\frac{3x}{2}  

d)

f1(x)=2+x3f^{-1}\left(x\right)=\frac{2+x}{3}  

151.

Find the inverse of f(x)=5x7f\left(x\right)=-5x-7  

a)

f1(x)=5x+77f^{-1}\left(x\right)=\frac{5x+7}{-7}  

b)

f1(x)=x+57f^{-1}\left(x\right)=\frac{x+5}{7}  

c)

f1(x)=x+75f^{-1}\left(x\right)=\frac{x+7}{-5}  

d)

f1(x)=75+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)

f1(x)=5(x43)f^{-1}\left(x\right)=5\left(x-\frac{4}{3}\right)  

b)

f1(x)=34(x5)f^{-1}\left(x\right)=-\frac{3}{4}\left(x-5\right)  

c)

f1(x)=43(x5)f^{-1}\left(x\right)=-\frac{4}{3}\left(x-5\right)  

d)

f1(x)=5(x34)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)

f1(x)=85x10f^{-1}\left(x\right)=-\frac{8}{5}x-10  

b)

f1(x)=10(x85)f^{-1}\left(x\right)=10\left(x-\frac{8}{5}\right)  

c)

f1(x)=58(x10)f^{-1}\left(x\right)=-\frac{5}{8}\left(x-10\right)  

d)

f1(x)=85(x10)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)=3x152f\left(x\right)=\frac{3x-15}{2}  

a)

f1(x)=x5f^{-1}\left(x\right)=-x-5  

b)

f1(x)=3x+5f^{-1}\left(x\right)=3x+5  

c)

f1(x)=15+2x3f^{-1}\left(x\right)=\frac{15+2x}{3}  

d)

f1(x)=23x193f^{-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.

x7<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+2485x+2\le-48  

a)

x<4x<-4  

b)

x<6x<6  

c)

x8x\ge-8  

d)

x10x\le-10  

167.

 6x42x6x-4\ge-2x 

a)

 x12x\le\frac{1}{2} 

b)

 x14x\le\frac{1}{4} 

c)

 x12x\ge\frac{1}{2} 

d)

 x14x\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?

193x51-19\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)

x3x\ge3  

c)

x<3x<3  

d)

x3x\le3  

173.
a)

2<x<5-2<x<5  

b)

2>×5-2>\times\le5  

c)

2<x5-2<x\le5  

d)

2x5-2\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=74\frac{6}{х}+\frac{5}{4}=\frac{7}{-4}  

a)

-2

b)

-3

c)

2

d)

-5

178.


4хх1=6\frac{4х}{х-1}=6  

a)

1

b)

3

c)

12

d)

-3

179.


18х5=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.


24х3=36х+3\frac{24}{х-3}=\frac{36}{х+3}  

a)

13

b)

16

c)

15

d)

18

182.


2х1+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  =  x52y\ \ =\ \ \frac{x-5}{2}  

c)

y  =  x+25y\ \ =\ \ \frac{x+2}{5}  

d)

y  =  x25y\ \ =\ \ \frac{x-2}{5}  

191.

Work out the inverse function

y =  4x  -  7

a)

y  =  x+74y\ \ =\ \ \frac{x+7}{4}  

b)

y  =  x74y\ \ =\ \ \frac{x-7}{4}  

c)

y  =  x+47y\ \ =\ \ \frac{x+4}{7}  

d)

y  =  x47y\ \ =\ \ \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  =  x43 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  f1(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)=x26f\left(x\right)=\frac{x-2}{6}  
Find  f1(x)f^{-1}\left(x\right)  

a)

x62\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)=14x7f\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  f1(x)f^{-1}\left(x\right)  

a)

7x1037x-\frac{10}{3}  

b)

7x310\frac{7x}{3}-10  

c)

7(x10)3\frac{7\left(x-10\right)}{3}  

d)

7x103\frac{7x-10}{3}