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Solving Equations Test

Total questions: 101

Worksheet time: 4hrs 37mins

Name
Class
Date
1.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
2.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
3.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
4.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
5.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
6.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
7.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
8.
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.
9.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
10.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
11.
Solve the equation:
x - 5.5 = 10.5
a)
x = 16
b)
x = -15
c)
x = 5
d)
x = -5
12.

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

a)

multiply

b)

divide

c)

add

d)

subtract

13.
x - (-1) = 11
a)
x = 10
b)
x = 12
c)
x = -10
d)
x = 11
14.
-y = 22
a)
y = 1
b)
y = -22
c)
y = 0
d)
y = -1
15.
What is the first step to solve this equation:
  3x = 44
a)
Add 3 to both sides
b)
Subtract 3 from both sides
c)
Multiply 3 on both sides
d)
Divide 3 on both sides.
16.
-4 + r = 10
a)
r = 14
b)
r = 6
c)
r = -6
d)
r = 40
17.
10 = -7 + b
a)
b = -17
b)
b = 3
c)
b = 17
d)
b = -3
18.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
19.
n - 6 = -15
a)
n = -21
b)
n = -9
c)
n = 9
d)
n = 21
20.
Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?
a)
3x=24
b)
x/3=24
c)
24x =3
d)
x/24 =3
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.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
36.
12 = 4 - 4x
a)
10
b)
8
c)
4
d)
2
37.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
38.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
39.
Solve if 3x + 5 = 4
a)
1/3
b)
2/3
c)
-1/3
d)
-2/3
40.
Solve  8 -3x = -13
a)
7
b)
8
c)
9
d)
10
41.

What do you need to do to both sides to isolate the variable?

16 = k1116\ =\ \frac{k}{11}

a)

Divide both sides by 11

b)

Subtract 11 from both sides

c)

Multiply both sides by 11

d)

Add 11 to both sides

42.

x + 12 = 20

a)

x= 32

b)

x = 12

c)

x = 8

d)

42

43.

What is the solution of 42 = 7f?

a)

294

b)

35

c)

49

d)

6

44.


Solve.
y9= 3\frac{y}{9}=\ 3  

a)

12

b)

27

c)

6

d)

3

45.


23w = 10\frac{2}{3}w\ =\ 10  

a)

6 236\ \frac{2}{3}  

b)

15

c)

30

d)

10 2310\ \frac{2}{3}  

46.

x + 10 = -30

a)

x = -20

b)

x = -40

c)

x = 20

d)

x = 3

47.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
48.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
49.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
50.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
51.
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.
52.
What would be the best first step to solving the equation?
a)
multiply both sides by 3
b)
multiply both sides by 4
c)
divide both sides by 3
d)
divide both sides by 4
53.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
54.
Simplify the expression:
8(4b - 5)
a)
32b + 40
b)
32b - 40
c)
32(b - 40)
d)
84b - 85
55.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

56.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

57.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
58.

-1(3v - 8)

a)

-3v-8

b)

3v-8

c)

-3v+8

d)

6v+8

59.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p + -24

60.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 + -35n

d)

10 + 35n

61.

Distribute

9(x - 5)

a)

9x + -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

62.
½(8x + 2)
a)
4x + 2
b)
4x + 1
c)
16x + 4
d)
16x - 4
63.
Which of the following is equivalent to
9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
64.
Simplify:
7(y - 3)
a)
7y - 21
b)
7y - 3
c)
7y + 3
d)
7y + 21
65.
Which of the following expressions is equivalent to 10x - 8?
a)
2(5x - 8)
b)
10(x - 8)
c)
8(2x - 1)
d)
2(5x - 4)
66.

Solve the following equation:

5x+8=435x+8=43  

(a)  

67.

Solve the following equation:

x37=1\frac{x}{3}-7=1  

(a)  

68.

Solve the following equation:

54=75x+554=\frac{7}{5}x+5  

(a)  

69.

Solve the following equation:

126x=60-12-6x=-60  

(a)  

70.

Solve the following equation:

4y+11=234y+11=23  

(a)  

71.

Solve the following equation:

106x=10410-6x=-104  

(a)  

72.

Solve the following equation:

63=7+28y63=7+28y  

(a)  

73.

Solve the following equation:

3=x4+7-3=\frac{x}{4}+7  

(a)  

74.

Solve the following equation:

x5+4=4\frac{x}{5}+4=-4  

(a)  

75.

Solve the following equation:

x5+6=3\frac{x}{-5}+6=3  

(a)  

76.

Solve the following equation:

23x+4=26\frac{2}{3}x+4=-26  

(a)  

77.

Solve the following equation:

45y8=8\frac{4}{5}y-8=8  

(a)  

78.

Solve the equation:

x+125=4\frac{x+12}{-5}=-4  

(a)  

79.

Solve the following equation:

35x+8=20\frac{3}{5}x+8=20  

(a)  

80.

Solve the following equation:

x+93=8\frac{x+9}{3}=8  

(a)  

81.

Solve the following equation:

1=x+56-1=\frac{x+5}{6}  

(a)  

82.

Solve the following equation:

n+516=1\frac{n+5}{-16}=-1  

(a)  

83.

Solve the following equation:

12x15=4512x-15=45  

(a)  

84.

Solve the following equation:

40=9x1440=9x-14  

(a)  

85.

What is the value of x?

2 (3x + 1) = 14

a)

7

b)

5

c)

2

d)

11

86.

What is the value of x?

9 (2 - 2x) = 9

a)

0

b)

4

c)

7

d)

1

87.

What is the value of x?

5 (x - 13) = 35

a)

20

b)

14

c)

7

d)

18

88.

What is the value of x?

3 (-1 - 8x) = -3

a)

-1

b)

5

c)

1

d)

0

89.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
90.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

91.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
92.

-1(3v - 8)

a)

-3v-8

b)

3v-8

c)

-3v+8

d)

6v+8

93.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Guess and check

94.

What is the first step to solve this equation?
x - 5 = 7 - 2x

a)

Add 7 to both sides of the equation

b)

Add 2x to both sides of the equation

c)

Subtract 2x from both sides of the equation

d)

Subtract 5 from both sides of the equation

95.

Solve. 4x + 7 = 3

a)

-1

b)

1

c)

2.5

d)

2.5

96.
Solve the equation
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
97.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
98.
Solve the equation
16 = -6x + 4x - 2
a)
x = 9
b)
x = -6
c)
x = -9
d)
 = 6
99.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
100.
Solve:
2(2t - 3) = 6(t + 2)
a)
t=9
b)
t=4
c)
t=-9
d)
t=-3
101.
Solve for y:
-5 - 7y = -20y + 34
a)
y = 3
b)
y = 1
c)
y = 0.67
d)
y = 46