Math Practice Problems - Single Variable Equations 3

Single Variable Equations 3 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=5, Mode=1

Solve.

1. ^-3 = m + 2
m =

2. ^-3 = m + 5
m =

Complexity=5, Mode=2

Solve.

1. 4p + 5 = ^-19
p =

2. 3h - 2 = 13
h =

Complexity=10, Mode=2

Solve.

1. 7v - 1 = 55
v =

2. 34 = ^-3c + 7
c =

Complexity=5, Mode=3

Solve.

1. 65 = 5(2d - 5)
d =

2. ^-100 = 5(5p + 5)
p =

Complexity=6, Mode=3

Solve.

1. 3(3q - 6) = ^-90
q =

2. ^-102 = 3(4q + 2)
q =

Complexity=7, Mode=3

Solve.

1. 204 = 3(^-7g + 5)
g =

2. 92 = 4(^-7x + 2)
x =

Complexity=5, Mode=4

Solve.

1. 3z + 2 = ^-2z + 32
z =

2. 2g - 5 = ^-2g + 19
g =

Complexity=6, Mode=4

Solve.

1. 4f + 1 = 2f - 9
f =

2. 5y - 25 = -y + 5
y =

Complexity=7, Mode=4

Solve.

1. 4e - 7 = e + 2
e =

2. 4 = 3e + 22
e =

Complexity=9, Mode=4

Solve.

1. 9q + 1 = 11q + 5
q =

2. ^-2g + 2 = ^-7g - 43
g =

Complexity=12, Mode=4

Solve.

1. 22g - 8 = 12g + 2
g =

2. 4t - 20 = 9t - 5
t =

Complexity=15, Mode=4

Solve.

1. 23z + 12 = 9z - 58
z =

2. 11w + 131 = ^-4w + 11
w =

Answers

Complexity=5, Mode=1

Solve.

#	Problem	Correct Answer	Your Answer
1	^-3 = m + 2	m =
Solution ^-3 - 2 = m + 2 - 2 ^-5 = m m = ^-5

#	Problem	Correct Answer	Your Answer
2	^-3 = m + 5	m =
Solution ^-3 - 5 = m + 5 - 5 ^-8 = m m = ^-8

Complexity=5, Mode=2

Solve.

Problem

Correct Answer

Your Answer

4p + 5 = ^-19

p =

Solution
4p + 5 - 5 = ^-19 - 5
4p = ^-24

Divide by 4

p = ^-6

Problem

Correct Answer

Your Answer

3h - 2 = 13

h =

Solution
3h - 2 + 2 = 13 + 2
3h = 15

Divide by 3

h = 5

Complexity=10, Mode=2

Solve.

Problem

Correct Answer

Your Answer

7v - 1 = 55

v =

Solution
7v - 1 + 1 = 55 + 1
7v = 56

Divide by 7

v = 8

Problem

Correct Answer

Your Answer

34 = ^-3c + 7

c =

Solution
34 - 7 = ^-3c + 7 - 7
27 = ^-3c

Divide by ^-3

^-9 = c

c = ^-9

Complexity=5, Mode=3

Solve.

Problem

Correct Answer

Your Answer

65 = 5(2d - 5)

d =

Solution
65 + 25 = 10d - 25 + 25
90 = 10d

Divide by 10

9 = d

d = 9

Problem

Correct Answer

Your Answer

^-100 = 5(5p + 5)

p =

Solution
^-100 - 25 = 25p + 25 - 25
^-125 = 25p

Divide by 25

^-5 = p

p = ^-5

Complexity=6, Mode=3

Solve.

Problem

Correct Answer

Your Answer

3(3q - 6) = ^-90

q =

Solution
9q - 18 + 18 = ^-90 + 18
9q = ^-72

Divide by 9

q = ^-8

Problem

Correct Answer

Your Answer

^-102 = 3(4q + 2)

q =

Solution
^-102 - 6 = 12q + 6 - 6
^-108 = 12q

Divide by 12

^-9 = q

q = ^-9

Complexity=7, Mode=3

Solve.

Problem

Correct Answer

Your Answer

204 = 3(^-7g + 5)

g =

Solution
204 - 15 = ^-21g + 15 - 15
189 = ^-21g

Divide by ^-21

^-9 = g

g = ^-9

Problem

Correct Answer

Your Answer

92 = 4(^-7x + 2)

x =

Solution
92 - 8 = ^-28x + 8 - 8
84 = ^-28x

Divide by ^-28

^-3 = x

x = ^-3

Complexity=5, Mode=4

Solve.

Problem

Correct Answer

Your Answer

3z + 2 = ^-2z + 32

z =

Solution
3z + 2 - 2 = ^-2z + 32 - 2
3z = ^-2z + 30

3z + 2z = ^-2z + 30 + 2z
5z = 30

Divide by 5

z = 6

Problem

Correct Answer

Your Answer

2g - 5 = ^-2g + 19

g =

Solution
2g - 5 + 5 = ^-2g + 19 + 5
2g = ^-2g + 24

2g + 2g = ^-2g + 24 + 2g
4g = 24

Divide by 4

g = 6

Complexity=6, Mode=4

Solve.

Problem

Correct Answer

Your Answer

4f + 1 = 2f - 9

f =

Solution
4f + 1 - 1 = 2f - 9 - 1
4f = 2f - 10

4f - 2f = 2f - 10 - 2f
2f = ^-10

Divide by 2

f = ^-5

Problem

Correct Answer

Your Answer

5y - 25 = -y + 5

y =

Solution
5y - 25 + 25 = -y + 5 + 25
5y = -y + 30

5y + y = -y + 30 + y
6y = 30

Divide by 6

y = 5

Complexity=7, Mode=4

Solve.

Problem

Correct Answer

Your Answer

4e - 7 = e + 2

e =

Solution
4e - 7 + 7 = e + 2 + 7
4e = e + 9

4e - e = e + 9 - e
3e = 9

Divide by 3

e = 3

Problem

Correct Answer

Your Answer

4 = 3e + 22

e =

Solution
4 - 22 = 3e + 22 - 22
^-18 = 3e

Divide by 3

^-6 = e

e = ^-6

Complexity=9, Mode=4

Solve.

Problem

Correct Answer

Your Answer

9q + 1 = 11q + 5

q =

Solution
9q + 1 - 1 = 11q + 5 - 1
9q = 11q + 4

9q - 11q = 11q + 4 - 11q
^-2q = 4

Divide by ^-2

q = ^-2

Problem

Correct Answer

Your Answer

^-2g + 2 = ^-7g - 43

g =

Solution
^-2g + 2 - 2 = ^-7g - 43 - 2
^-2g = ^-7g - 45

^-2g + 7g = ^-7g - 45 + 7g
5g = ^-45

Divide by 5

g = ^-9

Complexity=12, Mode=4

Solve.

Problem

Correct Answer

Your Answer

22g - 8 = 12g + 2

g =

Solution
22g - 8 + 8 = 12g + 2 + 8
22g = 12g + 10

22g - 12g = 12g + 10 - 12g
10g = 10

Divide by 10

g = 1

Problem

Correct Answer

Your Answer

4t - 20 = 9t - 5

t =

Solution
4t - 20 + 20 = 9t - 5 + 20
4t = 9t + 15

4t - 9t = 9t + 15 - 9t
^-5t = 15

Divide by ^-5

t = ^-3

Complexity=15, Mode=4

Solve.

Problem

Correct Answer

Your Answer

23z + 12 = 9z - 58

z =

Solution
23z + 12 - 12 = 9z - 58 - 12
23z = 9z - 70

23z - 9z = 9z - 70 - 9z
14z = ^-70

Divide by 14

z = ^-5

Problem

Correct Answer

Your Answer

11w + 131 = ^-4w + 11

w =

Solution
11w + 131 - 131 = ^-4w + 11 - 131
11w = ^-4w - 120

11w + 4w = ^-4w - 120 + 4w
15w = ^-120

Divide by 15

w = ^-8

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