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Worksheets

Algebra I Summer School Final

Total questions: 119

Worksheet time: 6hrs 57mins

Name
Class
Date
1.

3x = 36

a)

x = 4

b)

x = 9

c)

x = 12

d)

x = 6

2.

3x = 36

a)

x = 4

b)

x = 9

c)

x = 12

d)

x = 6

3.

3x = 36

a)

x = 4

b)

x = 9

c)

x = 12

d)

x = 6

4.

123 = x - 62

How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Subtract 123 to each side.

e)

Add 123 to each side.

5.

-10 = m - 5

(a)  

6.

-15 = -16 + x

(a)  

7.

20 = 12 + x

(a)  

8.

What would be the best first step to solving the equation?

15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

9.

Solve the following equation:


15 = x + 8

(a)  

10.

Solve the following equation:


15 = 1 + a

(a)  

11.

Solve the following equation.


8 = -12 + m

(a)  

12.

Solve the following equation.


3 = -1 + c

(a)  

13.

Solve the following equation.


30 = m - 12

(a)  

14.

Solve the following equation.


-3 = w + 14

(a)  

15.

Solve the following equation.


-6 = w - 4

(a)  

16.

Solve the following equation.


-4 = -2 + x

(a)  

17.

Solve the following equation.


-14 = -12 + x

(a)  

18.

Solve the following equation.


-14 = 12 + x

(a)  

19.

Solve:


5b = 25

(a)  

20.

Solve:


7z = 56

(a)  

21.

Solve:


4p = 16

(a)  

22.

Solve:


-6x = 30

(a)  

23.

What would be the best first step to solving the equation?

-6x = -24

a)

multiply both sides by -6

b)

divide both sides by -6

c)

add 6 to both sides

d)

subtract -6 from both sides

24.

What is the correct step to solve for the variable?


15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

25.

What would be the best first step to solving the equation?

-6x = -24

a)

multiply both sides by -6

b)

divide both sides by -6

c)

add 6 to both sides

d)

subtract -6 from both sides

26.

Solve:


18 = 3b

(a)  

27.

Solve:

 80=x1580=\frac{x}{15}  



(a)  

28.

Solve:

 x22=44\frac{x}{22}=44  



(a)  

29.

What is the first step to solve the following equation:  x7=12\frac{x}{7}=12  

a)

Add 7 to both sides

b)

Subtract 7 from both sides

c)

Divide 7 to both sides

d)

Multiply 7 to both sides

30.

Solve: m5= 10\frac{m}{5}=\ 10  



(a)  

31.

Solve:  10=x210=\frac{x}{2}  



(a)  

32.

Solve:  5=v45=\frac{v}{4}  



(a)  

33.

Solve:


 20=n520=\frac{n}{5}  



(a)  

34.

Solve:  5=x85=\frac{x}{8}  



(a)  

35.

Solve:

 b4=4\frac{b}{4}=4  



(a)  

36.

Solve:  k7=12\frac{k}{7}=-12  


a)

k = 84

b)

k = -84

c)

k = 12

d)

k = -12

37.

Solve:  15x=16-1-5x=-16  



(a)  

38.

Solve: -10 + 14x = 4



(a)  

39.

Solve:  46x=8-4-6x=8  



(a)  

40.

Solve: -11 - 7x = 3

(a)  

41.

Solve for x:


   57x=195-7x=19  



(a)  

42.

Solve for x:

   1+6x=131+6x=13  



(a)  

43.

Solve: 7 + 4x = 23

(a)  

44.

Solve:  4x+3=29-4x+3=-29  



(a)  

45.

Solve:  5x1=16-5x-1=-16  



(a)  

46.

Solve: 14x - 10 = 4



(a)  

47.

Solve: -4x - 7 = -19



(a)  

48.

Solve:  6x4=8-6x-4=8  



(a)  

49.

2x - 1 = x + 2

a)

6

b)

3

c)

2

d)

x

50.

7x + 5 = 3x + 29

a)

6

b)

10

c)

14

d)

4

51.

30 + 6t = 11t

(a)  

52.

7x + 1 = 4x + 34

(a)  

53.

8w - 8 = -4x + 16

(a)  

54.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
55.

Solve:

 11b+22=33b11011b+22=33b-110  



(a)  

56.

Solve:

 21x21=728x-21x-21=7-28x  



(a)  

57.

Solve:

 4m4=8m+204m-4=8m+20  



(a)  

58.

Solve:

 1x+9=5x9-1x+9=5x-9  

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

59.

Solve:

 3(x+1)=93(x+1)=9  

a)

2

b)

 83\frac{8}{3}  

c)

5

d)

4

60.

Solve:

 9(x+4)=189(x+4)=18  

(a)  

61.

Solve:


 8(3x)=168(3-x)=-16  

a)

-5

b)

5

c)

1

d)

 -1

62.

Solve:

 4(3+2x)=13-4\left(-3+2x\right)=-13  





(a)  

63.

Solve:

 3(4x1)=43(4x-1)=4  



a)

 712\frac{7}{12}  

b)

1

c)

 512\frac{5}{12}  

d)

2

64.

-4(v + 8) = 8


What is the solution to the equation?

(a)  

65.

-2(x - 3) = 24


What is the solution to the equation?

(a)  

66.

2(x + 8) = -2

(a)  

67.

-124 = 4 (1+ 8k)


What is the solution to the equation?

a)

-11

b)

10

c)

-4

d)

-2

68.
-10(5x-3)=330
a)
x=9
b)
x=6
c)
x=55
d)
x=-6
69.

-(n - 8) = -2

(a)  

70.

-10(5x - 3) = 330

(a)  

71.

Solve:

 15b60=8b60-15b-60=-8b-60  

a)

10

b)

0

c)

-22

d)

14

72.

Solve:

 3(7+7k)=35k21-3(7+7k)=35k-21  

a)

18

b)

-8

c)

No Solution

d)

0

73.

Solve:

 12x+12=3(x1)-12x+12=-3(x-1)  

a)

10

b)

1

c)

14

d)

23

74.

Solve:

 11(b+2)=11(10+3b)11(b+2)=11(−10+3b)  



(a)  

75.

Solve:

 21x21=7(14x)-21x-21=7(1-4x)  



(a)  

76.

Solve:

 4(m1)=2(4m+10)4(m−1)=2\left(4m+10\right)  



(a)  

77.

Solve:

3(10+4v)=6(59v)−3(10+4v)=−6(5−9v)



(a)  

78.

Solve:

12x+12=3(x1)-12x+12=-3(x-1)



(a)  

79.

Solve:

3(7+7k)=35k21-3(7+7k)=35k-21



(a)  

80.
Solve: -18 - 6x = 6(1 + 3x)
a)
-1
b)
1
c)
No Solution
d)
Infinite Solutions
81.

3(6-2x)=-3x

a)

6

b)

3

c)

-2

d)

2

82.
What is the y-intercept of the line?
a)
 (0,1/2)
b)
(0,1)
c)
(0, -1/2)
d)
(0, -1)
83.
What is the x- intercept of the line?
a)
(1, 0)
b)
(2, 0)
c)
( -1, 0)
d)
(-2, 0)
84.

Give the y-intercept
a)
(2,0)
b)
(-2,0)
c)
(0,-2)
d)
there is no y-intercept
85.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

86.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

87.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

88.

What is the slope of this line?

a)

Positve

b)

Negative

c)

Zero

d)

Undefined

89.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

90.

What is the slope of the line

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

91.

What is the slope of the line?

(a)  

92.

What is the slope of the line?

(a)  

93.

What is the slope of the line?

a)

-1

b)

1

c)

-1/2

d)

-2

94.

What is the slope of the line?

a)

3/2

b)

-3/2

c)

2/3

d)

-2/3

95.

What is the slope of the line?

(a)  

96.

What is the slope of the line?

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

97.

What is the slope of this line?

a)

4/3

b)

-4/3

c)

3/4

d)

-3/4

98.
Find the slope
a)
2/1
b)
-2/1
c)
1/2
d)
-1/2
99.

Find the slope of a line that passes through the given points:

(5,1) and (8,3)

a)

23\frac{2}{3}

b)

23-\frac{2}{3}

c)

32-\frac{3}{2}

d)

32\frac{3}{2}

100.

Find the slope of a line that passes through the given points:
(1,1) and (3,4)

a)

23\frac{2}{3}

b)

 23-\frac{2}{3} 

c)

 32-\frac{3}{2} 

d)

32\frac{3}{2}

101.

Find the slope of a line that passes through the given points:
(6,3) and (1,4)

a)

 15\frac{1}{5} 

b)

 15-\frac{1}{5} 

c)

 5-5 

d)

 11 

102.

Find the slope of the line that passes through:

(-12, -5) and (0, -8)

(a)  

103.

Find the slope of the line that passes through:

(3, 5) and (-2, 0)

(a)  

104.

Find the slope of the line that passes through:

(5,6) and (3,9)

(a)  

105.

Find the slope of the line that passes through:

(-12, -5) and (0, -8)

(a)  

106.

Find the slope of the line that passes through:

(10, 1) and (5, 2)

(a)  

107.

Find the slope of the line that passes through:

(2, 4) and (6, 12)

(a)  

108.

Find the slope of a line that passes through the given points:

(5,1) and (8,3)

(a)  

109.

What is the slope in the equation: 


 y=4x+3y=4x+3  

a)

3

b)

4x

c)

4

d)

x

110.

What is the y-intercept in the equation:


 y=4x5y=-4x-5  

a)

-4

b)

-4x

c)

5

d)

-5

111.

Which is the graph of  y=x+2y=-x+2  ? 

a)
b)
c)
d)
e)
112.

Which is the graph of  y=5x3y=5x-3  ? 

a)
b)
c)
d)
e)
113.

Which is the graph of  y=2y=2  ? 

a)
b)
c)
d)
114.

Which graph below represents the following equation:


 y=12x4y=\frac{1}{2}x-4  

a)
b)
c)
d)
e)
115.

Which graph below represents the following equation:


 y=12x4y=-\frac{1}{2}x-4  

a)
b)
c)
d)
e)
116.

Which graph below represents the following equation:


 y=2x4y=-2x-4  

a)
b)
c)
d)
e)
117.

Which graph below represents the following equation:


 y=2x4y=2x-4  

a)
b)
c)
d)
e)
118.

Which graph below represents the following equation:


 y=13x4y=\frac{1}{3}x-4  

a)
b)
c)
d)
e)
119.

Which graph below represents the following equation:


 y=34x+3y=\frac{3}{4}x+3  

a)
b)
c)
d)
e)