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Worksheets

U1 & U2 Review - Expressions, Equations and Inequalities

Total questions: 180

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

Simplify

24÷6+23⋅424\div6+2^3\cdot4  



(a)  

2.

Simplify

12−3⋅28−23\frac{12-3\cdot2}{8-2^3}  

a)

undefined

b)

0

c)

1

d)

66\frac{6}{6}  

e)

9

3.

Simplify

2+329−7+2\frac{2+3^2}{9-7+2}  

a)

114\frac{11}{4}  

b)

undefined

c)

254\frac{25}{4}  

4.

Simplify

12−4+23−32\frac{12-4+2}{3-3^2}  

a)

−53-\frac{5}{3}  

b)

−106-\frac{10}{6}  

c)

undefined

d)

0

e)

-1

5.

Simplify

(12−10)⋅42\left(12-10\right)\cdot4^2  



(a)  

6.

Simplify

12−2⋅69−8+1\frac{12-2\cdot6}{9-8+1}  

a)

0

b)

undefined

c)

02\frac{0}{2}  

d)

30

e)

602\frac{60}{2}  

7.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
14x−8+9x14x-8+9x  



(a)  

8.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
14x−8+914x-8+9  



(a)  

9.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
14−8x+914-8x+9  



(a)  

10.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
14−8x=914-8x=9  



(a)  

11.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
14−8x=9x14-8x=9x  



(a)  

12.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
14x−8=9x14x-8=9x  



(a)  

13.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
11x=8x−1711x=8x-17  



(a)  

14.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
11x=8−17x11x=8-17x  



(a)  

15.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
11=8−17x11=8-17x  



(a)  

16.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
11x+8−17x11x+8-17x  



(a)  

17.

Simplify or solve. Round to the nearest hundredth, if necessary.  Do not type spaces in your answer.
11x+8−1711x+8-17  



(a)  

18.

Solve for x

−3x=12-3x=12  

a)

-4

b)

15

c)

9

d)

-36

19.

Solve for x

−3+x=12-3+x=12  

a)

-4

b)

15

c)

9

d)

-36

20.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

14x−9+3x=5214x-9+3x=52  



(a)  

21.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

14x−9=3x+5214x-9=3x+52  



(a)  

22.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

14x−9+3x+5214x-9+3x+52  



(a)  

23.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

62=11x−5+7x62=11x-5+7x  



(a)  

24.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

62+11x=−5+7x62+11x=-5+7x  



(a)  

25.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

62+11x−5+7x62+11x-5+7x  



(a)  

26.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

27x−18+13x=9227x-18+13x=92  



(a)  

27.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

27x−18=13x+9227x-18=13x+92  



(a)  

28.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

27x−18+13x+9227x-18+13x+92  



(a)  

29.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

−2+x=10-2+x=10  



(a)  

30.

Solve or Simplify. Round to the nearest hundredth, if necessary. Do not type spaces.

−2x=10-2x=10  



(a)  

31.

Simplify

6−2⋅310\frac{6-2\cdot3}{10}  

a)

0

b)

10

c)

1210\frac{12}{10}  

d)

65\frac{6}{5}  

32.

Solve.  Round to the nearest hundredth if necessary.

2(3x+4)=262\left(3x+4\right)=26  



(a)  

33.

Solve. Round to the nearest hundredth.
13−3(4x−9)=5613-3\left(4x-9\right)=56  



(a)  

34.

Solve. Round to the nearest hundredth.
13+3(4x−9)=5613+3\left(4x-9\right)=56  



(a)  

35.

Find the perimeter of the rectangle. Do not type spaces between terms.

(a)  

36.

Simplify.  Do not type spaces between terms.
43−2(7x−8)43-2\left(7x-8\right)  




(a)  

37.

Simplify.  Do not type spaces between terms.
43−2(7x+8)43-2\left(7x+8\right)  




(a)  

38.

Simplify.  Do not type spaces between terms.
43+2(7x−8)43+2\left(7x-8\right)  




(a)  

39.

Simplify.  Do not type spaces between terms.
20−5(3x−7)20-5\left(3x-7\right)  




(a)  

40.

Simplify.  Do not type spaces between terms.
20+5(3x−7)20+5\left(3x-7\right)  




(a)  

41.

Solve.  Round to the nearest hundredth.
20−5(3x−7)=8620-5\left(3x-7\right)=86  




(a)  

42.

Solve.  Round to the nearest hundredth.
20+5(3x−7)=8620+5\left(3x-7\right)=86  




(a)  

43.

Find the perimeter of the rectangle. Do not type spaces between terms.

(a)  

44.

Solve.  Select the best answer.

x+10=x+10x+10=x+10  

a)

identity

b)

no soluti

c)

10

d)

0

e)

1

45.

Simplify.  Do not type spaces between terms.

x+10+x+10x+10+x+10  



(a)  

46.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)=12x+74\left(3x+7\right)=12x+7  



(a)  

47.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)=12x+284\left(3x+7\right)=12x+28  



(a)  

48.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)=4x+284\left(3x+7\right)=4x+28  



(a)  

49.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)=5x+194\left(3x+7\right)=5x+19  



(a)  

50.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

8x−10=2(4x−10)8x-10=2\left(4x-10\right)  



(a)  

51.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

8x−10=2(4x−5)8x-10=2\left(4x-5\right)  



(a)  

52.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

8x−10=2(3x−5)8x-10=2\left(3x-5\right)  



(a)  

53.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

8x−10=2(3x−15)8x-10=2\left(3x-15\right)  



(a)  

54.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(4x−9)=8(2x−5)4\left(4x-9\right)=8\left(2x-5\right)  



(a)  

55.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(4x−9)=8(5x−7)4\left(4x-9\right)=8\left(5x-7\right)  



(a)  

56.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37x=135\frac{3}{7x}=\frac{13}{5}  



(a)  

57.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37x⋅135\frac{3}{7x}\cdot\frac{13}{5}  



(a)  

58.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37x÷135\frac{3}{7x}\div\frac{13}{5}  



(a)  

59.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
119=717x\frac{11}{9}=\frac{7}{17x}  



(a)  

60.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
119⋅717x\frac{11}{9}\cdot\frac{7}{17x}  



(a)  

61.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
119÷717x\frac{11}{9}\div\frac{7}{17x}  



(a)  

62.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37=135x\frac{3}{7}=\frac{13}{5x}  



(a)  

63.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37⋅135x\frac{3}{7}\cdot\frac{13}{5x}  



(a)  

64.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37÷135x\frac{3}{7}\div\frac{13}{5x}  



(a)  

65.

A dripping faucet wastes 3 cups of water every 10 hours. How much water is wasted in a week? Round to the nearest hundredth, if necessary.

(a)  

66.

In November 2010, the average cost of 5 gallons of gasoline was $14.46. How much would 16 gallons cost at that rate? Round to the nearest hundredth. Do not type the $ symbol.

(a)  

67.

If 3 packs of toothpicks cost $0.87, how much will 11 packs cost? Round to the nearest hundredth. Do not type the $ symbol.

(a)  

68.

Willis Tower in Chicago is 1450 feet tall. The John Hancock Center in Chicago is 1127 feet tall. Suppose you are asked to build a small-scale replica of each. If you make the Willis Tower 3 meters tall, what would be the approximate height of the John Hancock replica? Round your answer to the nearest hundredth.

(a)  

69.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
173x−5=114x\frac{17}{3x-5}=\frac{11}{4x}  



(a)  

70.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
173x−5=114\frac{17}{3x-5}=\frac{11}{4}  



(a)  

71.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
173x+5=114x\frac{17}{3x+5}=\frac{11}{4x}  



(a)  

72.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
173x⋅114\frac{17}{3x}\cdot\frac{11}{4}  



(a)  

73.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
173x=114\frac{17}{3x}=\frac{11}{4}  



(a)  

74.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
134x−7=115x\frac{13}{4x-7}=\frac{11}{5x}  



(a)  

75.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
134x−7=115\frac{13}{4x-7}=\frac{11}{5}  



(a)  

76.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
134x=115\frac{13}{4x}=\frac{11}{5}  



(a)  

77.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
134x⋅115\frac{13}{4x}\cdot\frac{11}{5}  



(a)  

78.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
134x÷115\frac{13}{4x}\div\frac{11}{5}  



(a)  

79.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
75x=1113x+3\frac{7}{5x}=\frac{11}{13x+3}  



(a)  

80.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
75=1113x+3\frac{7}{5}=\frac{11}{13x+3}  



(a)  

81.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
75=1113x\frac{7}{5}=\frac{11}{13x}  



(a)  

82.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
75⋅1113x\frac{7}{5}\cdot\frac{11}{13x}  



(a)  

83.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
75÷1113x\frac{7}{5}\div\frac{11}{13x}  



(a)  

84.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
75x÷1113\frac{7}{5x}\div\frac{11}{13}  



(a)  

85.

What property is used?
x4−5=20\frac{x}{4}-5=20  


x4=25\frac{x}{4}=25  

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

86.

What property is used?

x4=25\frac{x}{4}=25  
x=100x=100  

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

87.

What property is used?

10x+20=6010x+20=60  
10x=4010x=40  

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

88.

What property is used?

10x=4010x=40  
x=4x=4  

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

89.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
113x+7=95x+6\frac{11}{3x+7}=\frac{9}{5x+6}  

(a)  

90.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
113x+7=95x\frac{11}{3x+7}=\frac{9}{5x}  



(a)  

91.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
113x⋅75\frac{11}{3x}\cdot\frac{7}{5}  



(a)  

92.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
113x÷75\frac{11}{3x}\div\frac{7}{5}  



(a)  

93.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
113÷75x\frac{11}{3}\div\frac{7}{5x}  



(a)  

94.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
113=75x\frac{11}{3}=\frac{7}{5x}  



(a)  

95.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37x+2=115x+9\frac{3}{7x+2}=\frac{11}{5x+9}  



(a)  

96.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37=115x+9\frac{3}{7}=\frac{11}{5x+9}  



(a)  

97.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37÷115x\frac{3}{7}\div\frac{11}{5x}  



(a)  

98.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37⋅115x\frac{3}{7}\cdot\frac{11}{5x}  



(a)  

99.

If it's an equation, solve and round to the nearest hundredth.  If it's an expression, write as a fraction and use the / button for division.
37=115x\frac{3}{7}=\frac{11}{5x}  



(a)  

100.

Solve. Round to the nearest hundredth, if necessary. 37(5x+9)=81\frac{3}{7}\left(5x+9\right)=81  



(a)  

101.

Solve. Round to the nearest hundredth, if necessary.
25(4x−7)=68\frac{2}{5}\left(4x-7\right)=68  



(a)  

102.

Solve. Round to the nearest hundredth, if necessary.
53(2x+13)=700\frac{5}{3}\left(2x+13\right)=700  



(a)  

103.

Solve. Round to the nearest hundredth, if necessary.
53x+112=40\frac{5}{3}x+\frac{11}{2}=40  



(a)  

104.

Solve. Round to the nearest hundredth, if necessary.
53x+112=40x\frac{5}{3}x+\frac{11}{2}=40x  



(a)  

105.

Solve. Round to the nearest hundredth, if necessary.
45x+75=1310\frac{4}{5}x+\frac{7}{5}=\frac{13}{10}  



(a)  

106.

Solve. Round to the nearest hundredth, if necessary.
45x+72=1310x\frac{4}{5}x+\frac{7}{2}=\frac{13}{10}x  



(a)  

107.

Solve. Round to the nearest hundredth, if necessary.
x5+13=52\frac{x}{5}+13=52  



(a)  

108.

Solve. Round to the nearest hundredth, if necessary.
x7−31=89\frac{x}{7}-31=89  



(a)  

109.

Solve. Round to the nearest hundredth, if necessary.
32=11+x332=11+\frac{x}{3}  



(a)  

110.

Solve. Round to the nearest hundredth, if necessary.
92=17+x1192=17+\frac{x}{11}  



(a)  

111.

Which inequality represents the graph shown?

a)

3≤x≤53\le x\le5

b)

3<x<53<x<5

c)

3<x or x<53<x\ or\ x<5

d)

3≤x or x≤53\le x\ or\ x\le5

112.

Which inequality represents the graph shown?

a)

3≤x<53\le x<5

b)

3≤x<53\le x<5

c)

x≤3   or   x>5x\le3\ \ \ or\ \ \ x>5

d)

x<3   or   x≥5x<3\ \ \ or\ \ \ x\ge5

113.

Which inequality represents the graph shown?

a)

2<x<72<x<7

b)

2≤x≤72\le x\le7

c)

x≤2   or   x≥7x\le2\ \ \ or\ \ \ x\ge7

d)

x<2   or   x>7x<2\ \ \ or\ \ \ x>7

114.

Solve.

50<10−2x50<10-2x  



(a)  

115.

Solve.  Do not type spaces in your answer.

50<10−x250<10-\frac{x}{2}  



(a)  

116.

Solve.  Do not type spaces in your answer.

 8<2x+8<348<2x+8<34 



(a)  

117.

Solve.  Round to the nearest hundredth.  Indicate "identity" or "no solution" if applicable.

2(4x+3)>8x+52\left(4x+3\right)>8x+5  

a)

identity

b)

no solution

c)

x>-1

d)

1>x

118.

Solve.  Round to the nearest hundredth.  Indicate "identity" or "no solution" if applicable.

2(4x+3)+8x>52\left(4x+3\right)+8x>5  



(a)  

119.

Solve.  Do not type spaces in your answer.

−40<20+x2-40<20+\frac{x}{2}  



(a)  

120.

Solve.  Do not type spaces in your answer.

100−5y>40100-5y>40  



(a)  

121.

Solve. Indicate "Identity" or "No Solution" if applicable.

5(2x+3)≤10x+205\left(2x+3\right)\le10x+20  



(a)  

122.

You rent a truck to move into your college dorm. There is a one-time rental fee of $54 and you are charged $1.43 per mile driven. If you have $280, which inequality models the situation?

a)

54+1.43x>28054+1.43x>280  

b)

54+1.43x<28054+1.43x<280  

c)

54+1.43x≥28054+1.43x\ge280  

d)

54+1.43x≤28054+1.43x\le280  

e)

54+1.43x=28054+1.43x=280  

123.

 10<2x+4<3810<2x+4<38 

Solve the compound inequality



(a)  

124.

 20<x+4<3420<x+4<34 

Solve the compound inequality



(a)  

125.

34>−2x34>-2x  


Solve

a)

-17<x

b)

-17>x

c)

17<x

d)

36>x

126.

Solve. Round to the nearest hundredth. Do not type spaces. Use >= for "greater than or equal to" and <= for "less than or equal to".
3x−10>313x-10>31  



(a)  

127.

Solve. Round to the nearest hundredth. Do not type spaces. Use >= for "greater than or equal to" and <= for "less than or equal to".
x3−10>31\frac{x}{3}-10>31  



(a)  

128.

Solve. Round to the nearest hundredth. Do not type spaces. Use >= for "greater than or equal to" and <= for "less than or equal to".
24≤12+5x24\le12+5x  



(a)  

129.

Solve. Round to the nearest hundredth. Do not type spaces. Use >= for "greater than or equal to" and <= for "less than or equal to".
24≤12+x524\le12+\frac{x}{5}  



(a)  

130.

Solve. Round to the nearest hundredth. Do not type spaces. Use >= for "greater than or equal to" and <= for "less than or equal to".
47>16+8x47>16+8x  



(a)  

131.

Solve. Round to the nearest hundredth. Do not type spaces. Use >= for "greater than or equal to" and <= for "less than or equal to".
47>16+x847>16+\frac{x}{8}  



(a)  

132.

10<2x10<2x  

Which are equivalent? Select all that apply!

a)

x>5

b)

5<x

c)

x<5

d)
e)
133.

10>2x10>2x  

Which are equivalent? Select all that apply!

a)

5>x

b)

5<x

c)

x<5

d)
e)
134.

10>2+x10>2+x  

Which are equivalent? Select all that apply!

a)

8>x8>x  

b)

12>x12>x  

c)

5>x5>x  

d)
e)
135.

You earn $8 per hour babysitting. You are saving for a phone that costs $1300. So far you have $451.  How many more hours do you need to babysit in order to buy your phone?  Select the inequality that models the situation.

a)

8x+451≥13008x+451\ge1300

b)

8x+451≤13008x+451\le1300

c)

451x+8≥1300451x+8\ge1300

d)

451x+8≤1300451x+8\le1300

136.

On Monday, you withdraw $50 from your bank, write a check for your cell phone bill for $160, and use your debit card to buy $40 worth of groceries. At the end of the day, your account has more than $400. Which inequality models the situation?

a)

x-250>400

b)

250-x>400

c)

x-250<400

d)

250-x<400

137.

Solve.  Indicate "identity" or "no solution" if applicable.
5(2x+3)>10x+75\left(2x+3\right)>10x+7  



(a)  

138.

Solve.  Indicate "identity" or "no solution" if applicable.
5(2x+3)≤10x+75\left(2x+3\right)\le10x+7  



(a)  

139.

Solve.  Indicate "identity" or "no solution" if applicable.
5(2x+3)<4x+155\left(2x+3\right)<4x+15  



(a)  

140.

Solve.  Indicate "identity" or "no solution" if applicable.
5(2x+3)<4x+335\left(2x+3\right)<4x+33  



(a)  

141.

Solve.  Indicate "identity" or "no solution" if applicable.
7x−8+3x>10x+167x-8+3x>10x+16  



(a)  

142.

Solve.  Indicate "identity" or "no solution" if applicable.
7x−8+3x>4x+167x-8+3x>4x+16  



(a)  

143.

Solve.  Indicate "identity" or "no solution" if applicable.
7x−8+3x<2x+87x-8+3x<2x+8  



(a)  

144.

Solve.  Indicate "identity" or "no solution" if applicable.
7(3x+5)<21x+117\left(3x+5\right)<21x+11  



(a)  

145.

Solve.  Indicate "identity" or "no solution" if applicable.
7(3x+5)>21x+117\left(3x+5\right)>21x+11  



(a)  

146.

Solve.  Indicate "identity" or "no solution" if applicable.
7(3x+5)>3x+357\left(3x+5\right)>3x+35  



(a)  

147.

Solve.  Indicate "identity" or "no solution" if applicable.
7(3x+5)>3x−17\left(3x+5\right)>3x-1  



(a)  

148.

−2x>−10-2x>-10  

Which are equivalent? Select all that apply!

a)

x>5

b)

x<-5

c)

x<5

d)
e)
149.

x−2>−4\frac{x}{-2}>-4  

Which are equivalent? Select all that apply!

a)

8>x8>x  

b)

x>8x>8  

c)

x<−8x<-8  

d)
e)
150.

Solve.  Round to the nearest hundredth.  Do not type spaces.

43<12−7x43<12-7x  



(a)  

151.

Solve.  Round to the nearest hundredth.  

17−8x>6417-8x>64  

(a)  

152.

Which inequality represents the graph?

a)

x>−3.5x>-3.5

b)

x<−3.5x<-3.5

c)

x>−2.5x>-2.5

d)

x<−2.5x<-2.5

153.

 10<2x+4<3810<2x+4<38 

Solve the compound inequality



(a)  

154.

Solve
3x<6  or  x−4≥163x<6\ \ or\ \ x-4\ge16  

a)

x<2  or  x≥20x<2\ \ or\ \ x\ge20  

b)

x<3  or  x≥20x<3\ \ or\ \ x\ge20  

c)

x<2  or  x≥12x<2\ \ or\ \ x\ge12  

d)

x<3   or   x≥20x<3\ \ \ or\ \ \ x\ge20  

155.

Solve
2x<8  or  x+1≥132x<8\ \ or\ \ x+1\ge13  

a)

x<4  or  x≥12x<4\ \ or\ \ x\ge12  

b)

x<6  or  x≥12x<6\ \ or\ \ x\ge12  

c)

x<4  or  x≥14x<4\ \ or\ \ x\ge14  

d)

x<6   or   x≥14x<6\ \ \ or\ \ \ x\ge14  

156.

 4<2x+6≤224<2x+6\le22 

Solve the compound inequality



(a)  

157.

Solve
6<3x+15≤276<3x+15\le27  




(a)  

158.

Solve
20≤5x−15<4520\le5x-15<45  




(a)  

159.

 4<2x7+6≤224<\frac{2x}{7}+6\le22 

Solve the compound inequality



(a)  

160.

Solve
20≤5x−15<4520\le5x-15<45  




(a)  

161.

 12<4x+83≤2412<\frac{4x+8}{3}\le24 

Solve the compound inequality



(a)  

162.

Solve the compound inequality
10≤5x+152<3510\le\frac{5x+15}{2}<35  




(a)  

163.

 12<4x3+8≤2412<\frac{4x}{3}+8\le24 

Solve the compound inequality



(a)  

164.

Solve
20≤5x4−15<4520\le\frac{5x}{4}-15<45  




(a)  

165.

Select all that are "compound inequalities"

a)

−3≤x<11-3\le x<11

b)

x<11x<11

c)
d)
e)
166.

Select all that are "compound inequalities"

a)

x<4   or   x≤7x<4\ \ \ or\ \ \ x\le7

b)

x<4x<4

c)
d)
e)
167.

Solve. Round to the nearest hundredth. Give your smallest of the two answers.  Indicate "no solution" if applicable.
∣2x+8∣+7=34\left|2x+8\right|+7=34  



(a)  

168.

Solve. Round to the nearest hundredth. Give your smallest of the two answers.  Indicate "no solution" if applicable.
∣2x+8∣+70=34\left|2x+8\right|+70=34  



(a)  

169.

Solve. Round to the nearest hundredth. Give your smallest of the two answers.  Indicate "no solution" if applicable.
∣3x+7∣=45\left|3x+7\right|=45  



(a)  

170.

Solve. Round to the nearest hundredth. Give your smallest of the two answers.  Indicate "no solution" if applicable.
∣3x+7∣+9=45\left|3x+7\right|+9=45  



(a)  

171.

Solve. Round to the nearest hundredth. Give your smallest of the two answers.  Indicate "no solution" if applicable.
∣3x+7∣+92=45\left|3x+7\right|+92=45  



(a)  

172.

Solve. Round to the nearest hundredth. Type the smallest inequality.
∣3x+7∣>24\left|3x+7\right|>24  



(a)  

173.

Solve. Round to the nearest hundredth. Type the smallest inequality.
∣3x∣+7>24\left|3x\right|+7>24  



(a)  

174.

Solve. Round to the nearest hundredth. Type the smallest inequality.
3∣x+7∣>243\left|x+7\right|>24  



(a)  

175.

Solve. Round to the nearest hundredth. Type the smallest inequality.
∣2x−6∣<72\left|2x-6\right|<72  



(a)  

176.

Solve. Round to the nearest hundredth. Type the smallest inequality.
∣2x∣−6<72\left|2x\right|-6<72  



(a)  

177.

Solve. Round to the nearest hundredth. Type the smallest inequality.
2∣x−6∣<722\left|x-6\right|<72  



(a)  

178.

Select all inequalities and graphs that are equivalent.
5x<10  or  x+3≥305x<10\ \ or\ \ x+3\ge30  

a)

x<2  or  x≥27x<2\ \ or\ \ x\ge27  

b)
c)
d)

x<5  or  x≥27x<5\ \ or\ \ x\ge27  

e)

x<2  or  x≥10x<2\ \ or\ \ x\ge10  

179.

Select all that are equivalent to


4<x+6≤94<x+6\le9  

a)
b)

−2<x≤3-2<x\le3  

c)

4<x≤34<x\le3  

d)
e)
180.

Which graph is correct for the given inequality?

3<x3<x  

a)
b)
c)
d)

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