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old U1 - Pre Alg Review

Total questions: 137

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

Simplify

24÷6+23⋅424\div6+2^3\cdot4  



(a)  

2.

Simplify

18÷9⋅218\div9\cdot2  

(a)  

3.

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

4.

Simplify

2+329−7+2\frac{2+3^2}{9-7+2}  

a)

114\frac{11}{4}  

b)

undefined

c)

254\frac{25}{4}  

5.

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

6.

Simplify

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



(a)  

7.

Simplify

15÷3+(10−7)15\div3+\left(10-7\right)



(a)  

8.

Evaluate if x=5

100÷10⋅x100\div10\cdot x  

(a)  

9.

Evaluate if x=8

20−x+1020-x+10  

(a)  

10.

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



(a)  

11.

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



(a)  

12.

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



(a)  

13.

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



(a)  

14.

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



(a)  

15.

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



(a)  

16.

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



(a)  

17.

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



(a)  

18.

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



(a)  

19.

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



(a)  

20.

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



(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.

14x−9+3x+5214x-9+3x+52  



(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.

62+11x−5+7x62+11x-5+7x  



(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.

27x−18+13x+9227x-18+13x+92  



(a)  

30.

Evaluate if x=3

14x−8+9x14x-8+9x  



(a)  

31.

Solve.  Round to the nearest hundredth if necessary.

2(3x+4)=262\left(3x+4\right)=26  



(a)  

32.

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



(a)  

33.

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



(a)  

34.

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

(a)  

35.

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




(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.
20−5(3x−7)20-5\left(3x-7\right)  




(a)  

39.

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




(a)  

40.

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




(a)  

41.

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




(a)  

42.

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

(a)  

43.

Solve.  Select the best answer.

x+10=x+10x+10=x+10  

a)

identity

b)

no soluti

c)

10

d)

0

e)

1

44.

Simplify.  Do not type spaces between terms.

x+10+x+10x+10+x+10  



(a)  

45.

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)  

46.

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)  

47.

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)  

48.

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)  

49.

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)  

50.

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)  

51.

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)  

52.

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)  

53.

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)  

54.

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)  

55.

Match the following

a)

x=xx=x  

1.

identity

b)

x+1=xx+1=x  

2.

no solution

c)

10x=5x10x=5x  

3.

x=0

d)

10=5x10=5x  

4.

x=2

e)

10=−5x10=-5x  

5.

x=-2

56.

 6x+10=2(6x+5)6x+10=2\left(6x+5\right)  



Solve.  



(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}=\frac{13}{5}  



(a)  

58.

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



(a)  

59.

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)  

60.

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)  

61.

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)  

62.

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)  

63.

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)  

64.

Solve. Round to the nearest hundredth. Give your smallest of the two answers.  Indicate "no solution" if applicable. ∣7x+2∣=59\left|7x+2\right|=59  



(a)  

65.

Solve. Round to the nearest hundredth. Give your smallest of the two answers.  Indicate "no solution" if applicable. ∣x+12∣+93=13\left|x+12\right|+93=13  



(a)  

66.

Solve. Round to the nearest hundredth. Give your smallest of the two answers.  Indicate "no solution" if applicable. ∣x+23∣+11=93\left|x+23\right|+11=93  



(a)  

67.

Match the following

a)

∣2x+13∣=−47\left|2x+13\right|=-47  

1.

Absolute Value Equation with No Solution

b)

∣2x+13∣=47\left|2x+13\right|=47  

2.

Absolute Value Equation with Two Solutions

c)

2x+13−472x+13-47  

3.

Expression

d)

2x+13=−472x+13=-47  

4.

Equation with one solution

68.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

10≤2x+8<4010\le2x+8<40  

(a)  

69.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

6x+11<2(3x+11)6x+11<2\left(3x+11\right)  

(a)  

70.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

6x+11≤2(6x+11)6x+11\le2\left(6x+11\right)  

(a)  

71.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

6x+22≤2(6x+11)6x+22\le2\left(6x+11\right)  

(a)  

72.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

6x+23≤2(3x+11)6x+23\le2\left(3x+11\right)  

(a)  

73.

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

74.

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

75.

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)
76.

Select all that are "compound inequalities"

a)

−3≤x<11-3\le x<11

b)

x<11x<11

c)
d)
e)
77.

Select all that are "compound inequalities"

a)

x<4   or   x≤7x<4\ \ \ or\ \ \ x\le7

b)

x<4x<4

c)
d)
e)
78.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

103≥8−7x103\ge8-7x  

(a)  

79.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

23≥87−13x23\ge87-13x  

(a)  

80.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

30>8+x330>8+\frac{x}{3}  

(a)  

81.

Solve. Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to".

8≤2x+8<348\le2x+8<34  

(a)  

82.

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  

83.

Solve.  Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to". 5(2x+3)≤10x+75\left(2x+3\right)\le10x+7  



(a)  

84.

Solve.  Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to". 5(10x+3)≤10x+75\left(10x+3\right)\le10x+7  



(a)  

85.

Solve.  Round to the nearest hundredth, if necessary. Indicate "Identity" or "No Solution" if applicable. Use <= for "less than or equal to". 5(2x−3)≤10x+75\left(2x-3\right)\le10x+7  



(a)  

86.

Match the following

a)
1.

x<-2.5

b)
2.

x<-1.5

c)
3.

x>=0.5

d)
4.

x>=-0.5

e)
5.

x<0.5

87.

Match the following

a)
1.

-1.5<=x<1.5

b)
2.

-2.5<=x<1.5

c)
3.

-2.5<x<1.5

d)
4.

-2.5<x<=1.5

e)
5.

-2.5<x<=3.5

88.

Use the slope formula to find the slope between (-3, 5) and (-3, 2)

(a)  

89.

Use the slope formula to find the slope between the points (2, 4) and (-1, 4)

(a)  

90.

Use the slope formula to find the slope between the points (1, 9) and (1, 5)

(a)  

91.

Use the slope formula to find the slope between the points (4, 1) and (-2, 1)

(a)  

92.

Use the slope formula to find the slope between the points (4, 1) and (-2, 5)

(a)  

93.

Use the slope formula to find the slope between the points (5, 2) and (-3, 4)

(a)  

94.

What is the slope of h(x)?

(a)  

95.

What is the slope of p(x)?

(a)  

96.

What is the slope of g(x)?

(a)  

97.

Which functions have a negative slope?

a)

f(x)

b)

g(x)

c)

h(x)

d)

p(x)

98.

What is the slope of the given line?

a)

m=−32m=-\frac{3}{2}

b)

m=32m=\frac{3}{2}

c)

m=23m=\frac{2}{3}

d)

m=−23m=-\frac{2}{3}

e)

m=−3−2m=\frac{-3}{-2}  

99.

What is the slope of f(x)?

a)

52\frac{5}{2}  

b)

25\frac{2}{5}  

c)

−25-\frac{2}{5}  

d)

−52-\frac{5}{2}  

e)

−5−2\frac{-5}{-2}  

100.

Which function(s) have a positive slope?

a)

f(x)

b)

g(x)

c)

h(x)

d)

j(x)

101.

What is the slope of h(x)?

a)

−23-\frac{2}{3}  

b)

23\frac{2}{3}  

c)

−32-\frac{3}{2}  

d)

32\frac{3}{2}  

e)

−2−3\frac{-2}{-3}  

102.

Use the slope formula to find the slope between (3, 5) and (-1, -2). Use the / button for division.

(a)  

103.

Use the slope formula to find the slope between (1, 5) and (-2, 1). Use the / button for division.

(a)  

104.

Use the slope formula to find the slope between (0, -2) and (-4, 1). Use the / button for division.

(a)  

105.

Which function(s) have a negative slope?

a)

f(x)

b)

g(x)

c)

h(x)

d)

j(x)

106.

What is the slope of the given line?

a)

m=−25m=-\frac{2}{5}

b)

m=−52m=-\frac{5}{2}

c)

m=25m=\frac{2}{5}

d)

m=52m=\frac{5}{2}

e)

m=−2−5m=\frac{-2}{-5}  

107.

What is the equation of f(x) in slope intercept form? Write your answer using function notation.

(a)  

108.

What is the equation of p(x) in slope intercept form? Write your answer using function notation.

(a)  

109.

What is the equation of g(x) in slope intercept form? Write your answer using function notation.

(a)  

110.

Write the equation of f(x) in slope intercept form. Write in function notation.

(a)  

111.

Write the equation of g(x) in slope intercept form. Write in function notation.

(a)  

112.

What is the equation of h(x) in slope intercept form? Write your answer using function notation.

(a)  

113.

Which functions have a positive "b" value?

a)

f(x)

b)

g(x)

c)

h(x)

d)

J(x)

114.

Which is the equation for f(x)?

a)

f(x)=15x+4f\left(x\right)=\frac{1}{5}x+4  

b)

f(x)=5x+4f\left(x\right)=5x+4  

c)

f(x)=−15x+4f\left(x\right)=\frac{-1}{5}x+4  

d)

f(x)=−5x+4f\left(x\right)=-5x+4  

115.

Given the equation, which statement is true?

y=−34x+2y=-\frac{3}{4}x+2  

a)

m=−34     and    b=2m=-\frac{3}{4}\ \ \ \ \ and\ \ \ \ b=2  

b)

m=−3    and    b=−4m=-3\ \ \ \ and\ \ \ \ b=-4  

c)

m=34    and    b=2m=\frac{3}{4}\ \ \ \ and\ \ \ \ b=2  

d)

m=4    and  b=−3m=4\ \ \ \ and\ \ b=-3  

e)

m=3   and   b=xm=3\ \ \ and\ \ \ b=x  

116.

Identify the slope of the equation

y=−x−3y=-x-3  

a)

0

b)

1

c)

-1

d)

-3

117.

Write the equation of f(x) in slope intercept form. Use function notation.

(a)  

118.

Which functions have a positive slope?

a)

f(x)

b)

g(x)

c)

h(x)

d)

j(x)

119.

Which functions have a negative "m" value?

a)

f(x)

b)

g(x)

c)

h(x)

d)

j(x)

120.

Which functions have a negative "m" value?

a)

f(x)

b)

g(x)

c)

p(x)

d)

Q(x)

121.

What is the equation of g(x) in slope intercept form? Use function notation.

(a)  

122.

What is the equation of f(x) in slope intercept form? Use function notation.

(a)  

123.

What is the equation of Q(x) in slope intercept form? Use function notation.

(a)  

124.

What is the equation of p(x) in slope intercept form? Use function notation.

(a)  

125.

Write the equation in slope intercept form of the line that goes through the points (5,4) and a slope of 2.

(a)  

126.

Write the equation in slope intercept form of the line that goes through the points (2,7) and a slope of -3.

(a)  

127.

Write the equation in slope intercept form of the line that goes through the points (6,8) and a slope of 4.

(a)  

128.

Write the equation in slope intercept form of the line that goes through the points (1,-3) and (3,-7)

(a)  

129.

Write the equation in slope intercept form of the line that goes through the points (-1,-9) and (2,6)

(a)  

130.

Write the equation in slope intercept form of the line that goes through the points (3,2) and (6,8)

(a)  

131.

Write the equation of g(x) in slope intercept form. Use function notation.

(a)  

132.

Write the equation of j(x) in slope intercept form. Use function notation.

(a)  

133.

Write the equation in slope intercept form of the line that goes through the points (3,-8) and (-2,2)

(a)  

134.

Write the equation in slope intercept form of the line that goes through the points (1,-9) and (-1,-1)

(a)  

135.

Write the equation in slope intercept form of the line that goes through the points (6,2) and (3,0)

(a)  

136.

Write the equation in slope intercept form of the line that goes through the points (5,2) and (10,6)

(a)  

137.

Write the equation in slope intercept form of the line that goes through the points (4,2) and (6,7)

(a)  

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