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Worksheets

Solving equations review

Total questions: 83

Worksheet time: 21hrs 45mins

Name
Class
Date
1.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
2.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
3.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
4.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
5.
x - 62 = 123
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)
Add 123 to each side.
6.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
7.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
8.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
d)
x = 3
9.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
10.
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
11.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
12.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
13.

m - 5 = -10

a)

-15

b)

15

c)

-5

d)

5

14.

how would you solve this equation: 9x=153?

a)

multiply by 9 on both sides

b)

divide by 9 on both sides

c)

add 9 to both sides

d)

subtract 9 from both sides

15.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
16.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
17.
Solve for the missing variable:
a)
m = 5
b)
m = 1/5
c)
m = 25
d)
m = 55
18.
5m = 10  solve for m
a)
50
b)
15
c)
5
d)
2
19.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
20.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
21.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
22.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
23.
Solve -3 + 2x = -1 
a)
x = 3
b)
x = 2
c)
x = 1
d)
x = -2
24.
Solve  9 - 5t  = 24
a)
t = -3
b)
t = 3
c)
t = -6.6
d)
t = 12
25.
a)
t = 20
b)
t = -20
c)
t = -40
d)
t = 40
26.
Solve
-7+ 2x  = -23
a)
x = -8
b)
x = 8
c)
x = 13
d)
x = -13
27.
Solve   2y - 4 = -10
a)
y = -7
b)
y = 3
c)
y = -3
d)
y = 7
28.
Solve  12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
29.
6.    -3x + 5 = -13
a)
x = -5
b)
x = 2
c)
x = -6
d)
x = 6
30.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
31.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
32.
6p - 5 =13
a)
12
b)
15
c)
3
d)
-3
33.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
34.
a)
t = 20
b)
t = -20
c)
t = -40
d)
t = 40
35.
12 = 4 - 4x
a)
10
b)
8
c)
4
d)
2
36.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
37.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
38.
Solve  8 -3x = -13
a)
7
b)
8
c)
9
d)
10
39.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
40.
Solve if 3x + 5 = 4
a)
1/3
b)
2/3
c)
-1/3
d)
-2/3
41.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
42.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
43.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
44.

Evaluate m² + 12q if m = 5 and q = -3

a)

10

b)

-25

c)

-11

d)

13

45.
Evaluate 4y  if       y = 3
a)
7
b)
12
46.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
47.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
48.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
49.
Evaluate -2x  if     x = 10
a)
-8
b)
20
c)
-20
50.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
51.
Evaluate 7 + j if     j = -2
a)
-14
b)
14
c)
5
d)
9
52.

If x = 3 solve x + 4 =

a)

5

b)

6

c)

7

d)

8

53.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
54.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

55.

If p = -6, what does -10(p + 4) equal?

a)

2

b)

20

c)

-2

d)

-20

56.
Determine which of the following is a solution to the linear function
 y = 3x - 10
a)
(1, -13)
b)
(0, 10)
c)
(2, -4)
d)
(-3. -1)
57.
The commission of a sales representative can be modeled by C(x) = 4x - 10, where x is the number of items sold.  If the sales representative sales 30 items, how much commission will they earn?
a)
$20
b)
$120
c)
$5
d)
$110
58.
The amount of water in the bucket ( in pints) can be modeled by the equation y = 2x + 7 where x is the number of pitchers used to put water in the bucket.  If the bucket contains 29 pints of water, how many pitchers of water were used to fill it?
a)
11
b)
65
c)
9
d)
18
59.
Which of the following ordered pairs is a solution to the linear function 3x - 4y = 10
a)
(-1, 2)
b)
(3, 0)
c)
(2, -1)
d)
(-2, 1)
60.
What is the value of y in the function  
y = 1/2 x + 10  when x = 24?
a)
22
b)
58
c)
12
d)
29
61.
The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
y = -3.8x + 290
a)
80
b)
236.8
c)
-80
d)
72.6
62.
The GPA of a student can be predicted using the equation
y = 1.4 x + 1.4  where x is the hours the student spends studying.  What is the expected GPA of a student that spends no hours studying?
a)
2.4
b)
1.4
c)
not enough information
d)
2.8
63.

Which ordered pair is a solution to the equation below?

y = -3x + 6

a)

(2, -3)

b)

(1, 3)

c)

(1, -3)

d)

(6, 0)

64.
Evaluate y = x + 5 when x = 3.
a)
8
b)
2
c)
9
d)
6
65.
Evaluate y = 7x when x = -5
a)
-35
b)
35
c)
2
d)
75
66.
Evaluate y = 4x - 1 when x = 10.
a)
39
b)
41
c)
399
d)
38
67.

Find the slope of the graph.

a)

1/3

b)

-3

c)

3

d)

-1/3

68.

Find the slope of the graph.

a)

1/4

b)

1

c)

5

d)

1/5

69.

Find the slope of the graph.

a)

1/2

b)

2

c)

-2

d)

4/2

70.

Find the slope of the graph.

a)

undefined

b)

0

c)

1

d)

-1

71.

What type of slope?

a)

negative

b)

positive

c)

zero

d)

undefined

72.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
73.

What type of slope?

a)

undefined

b)

positive

c)

negative

d)

zero

74.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
75.

What does the variable m stand for?

a)

y-intercept

b)

slope

76.

What does the variable b stand for?

a)

y-intercept

b)

slope

77.

Find the slope given these points:

(1,2) & (3,4)

a)

1

b)

2

c)

-1

d)

-2

78.

Find the slope given these points:

(-2,-3) & (2,3)

a)

3/2

b)

0

c)

undefined

d)

-3/2

79.

Find the slope given these points:

(-5,3) & (3,5)

a)

1/4

b)

4

c)

1

d)

-1

80.

Find the slope given these points:

(2,-4) & (3,1)

a)

5

b)

-3

c)

3

d)

-5

81.

Find the slope given these points:

(0,5) & (6,2)

a)

-1/2

b)

-2

c)

-1/3

d)

1/2

82.

Find the slope given these points:

(4,-4) & (2,0)

a)

-2

b)

2

c)

1/2

d)

-1/2

83.

Find the slope given these points:

(-8,4) & (-5,1)

a)

-1

b)

1

c)

3/13

d)

5/13