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## 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.   e - 4 = - 3 e = 2.   3b = 21 b =

### Complexity=5, Mode=2

Solve.

 1.   4b + 2 = - 26 b = 2.   - 13 = 2e - 1 e =

### Complexity=10, Mode=2

Solve.

 1.   - 31 = 4z - 7 z = 2.   - 56 = 8j + 8 j =

### Complexity=5, Mode=3

Solve.

 1.   3(- 5d + 5) = - 120 d = 2.   4(4k - 5) = - 52 k =

### Complexity=6, Mode=3

Solve.

 1.   - 4 = 4(5n - 1) n = 2.   6(3e + 3) = 144 e =

### Complexity=7, Mode=3

Solve.

 1.   - 33 = 3(3d + 4) d = 2.   6(4z - 4) = 24 z =

### Complexity=5, Mode=4

Solve.

 1.   q + 2 = 4q + 23 q = 2.   - 4h + 15 = - 5 h =

### Complexity=6, Mode=4

Solve.

 1.   - 6 = - 3h - 33 h = 2.   - 3k + 39 = - 8k + 4 k =

### Complexity=7, Mode=4

Solve.

 1.   - 10b + 7 = - 6b + 35 b = 2.   - 4c - 20 = - 11c + 1 c =

### Complexity=9, Mode=4

Solve.

 1.   - 8b + 22 = - 2b + 4 b = 2.   5c + 14 = 11c + 2 c =

### Complexity=12, Mode=4

Solve.

 1.   9v + 16 = 12v - 2 v = 2.   3e + 22 = 7e - 6 e =

### Complexity=15, Mode=4

Solve.

 1.   - 11h + 10 = - 3h + 50 h = 2.   - 2c + 43 = 7c - 2 c =

### Complexity=5, Mode=1

Solve.

1e - 4 = - 3
e =
Solution
e - 4 + 4 = - 3 + 4
e = 1

23b = 21
b =
Solution
Divide by 3

b = 7

### Complexity=5, Mode=2

Solve.

14b + 2 = - 26
b =
Solution
4b + 2 - 2 = - 26 - 2
4b = - 28

Divide by 4

b = - 7

2- 13 = 2e - 1
e =
Solution
- 13 + 1 = 2e - 1 + 1
- 12 = 2e

Divide by 2

- 6 = e

e = - 6

### Complexity=10, Mode=2

Solve.

1- 31 = 4z - 7
z =
Solution
- 31 + 7 = 4z - 7 + 7
- 24 = 4z

Divide by 4

- 6 = z

z = - 6

2- 56 = 8j + 8
j =
Solution
- 56 - 8 = 8j + 8 - 8
- 64 = 8j

Divide by 8

- 8 = j

j = - 8

### Complexity=5, Mode=3

Solve.

13(- 5d + 5) = - 120
d =
Solution
- 15d + 15 - 15 = - 120 - 15
- 15d = - 135

Divide by - 15

d = 9

24(4k - 5) = - 52
k =
Solution
16k - 20 + 20 = - 52 + 20
16k = - 32

Divide by 16

k = - 2

### Complexity=6, Mode=3

Solve.

1- 4 = 4(5n - 1)
n =
Solution
- 4 + 4 = 20n - 4 + 4
0 = 20n

Divide by 20

0 = n

0 - n = n - n
-n = 0

Multiply by - 1
 -n(- 1) = 0 • - 1

n = 0

26(3e + 3) = 144
e =
Solution
18e + 18 - 18 = 144 - 18
18e = 126

Divide by 18

e = 7

### Complexity=7, Mode=3

Solve.

1- 33 = 3(3d + 4)
d =
Solution
- 33 - 12 = 9d + 12 - 12
- 45 = 9d

Divide by 9

- 5 = d

d = - 5

26(4z - 4) = 24
z =
Solution
24z - 24 + 24 = 24 + 24
24z = 48

Divide by 24

z = 2

### Complexity=5, Mode=4

Solve.

1q + 2 = 4q + 23
q =
Solution
q + 2 - 2 = 4q + 23 - 2
q = 4q + 21

q - 4q = 4q + 21 - 4q
- 3q = 21

Divide by - 3

q = - 7

2- 4h + 15 = - 5
h =
Solution
- 4h + 15 - 15 = - 5 - 15
- 4h = - 20

Divide by - 4

h = 5

### Complexity=6, Mode=4

Solve.

1- 6 = - 3h - 33
h =
Solution
- 6 + 33 = - 3h - 33 + 33
27 = - 3h

Divide by - 3

- 9 = h

h = - 9

2- 3k + 39 = - 8k + 4
k =
Solution
- 3k + 39 - 39 = - 8k + 4 - 39
- 3k = - 8k - 35

- 3k + 8k = - 8k - 35 + 8k
5k = - 35

Divide by 5

k = - 7

### Complexity=7, Mode=4

Solve.

1- 10b + 7 = - 6b + 35
b =
Solution
- 10b + 7 - 7 = - 6b + 35 - 7
- 10b = - 6b + 28

- 10b + 6b = - 6b + 28 + 6b
- 4b = 28

Divide by - 4

b = - 7

2- 4c - 20 = - 11c + 1
c =
Solution
- 4c - 20 + 20 = - 11c + 1 + 20
- 4c = - 11c + 21

- 4c + 11c = - 11c + 21 + 11c
7c = 21

Divide by 7

c = 3

### Complexity=9, Mode=4

Solve.

1- 8b + 22 = - 2b + 4
b =
Solution
- 8b + 22 - 22 = - 2b + 4 - 22
- 8b = - 2b - 18

- 8b + 2b = - 2b - 18 + 2b
- 6b = - 18

Divide by - 6

b = 3

25c + 14 = 11c + 2
c =
Solution
5c + 14 - 14 = 11c + 2 - 14
5c = 11c - 12

5c - 11c = 11c - 12 - 11c
- 6c = - 12

Divide by - 6

c = 2

### Complexity=12, Mode=4

Solve.

19v + 16 = 12v - 2
v =
Solution
9v + 16 - 16 = 12v - 2 - 16
9v = 12v - 18

9v - 12v = 12v - 18 - 12v
- 3v = - 18

Divide by - 3

v = 6

23e + 22 = 7e - 6
e =
Solution
3e + 22 - 22 = 7e - 6 - 22
3e = 7e - 28

3e - 7e = 7e - 28 - 7e
- 4e = - 28

Divide by - 4

e = 7

### Complexity=15, Mode=4

Solve.

1- 11h + 10 = - 3h + 50
h =
Solution
- 11h + 10 - 10 = - 3h + 50 - 10
- 11h = - 3h + 40

- 11h + 3h = - 3h + 40 + 3h
- 8h = 40

Divide by - 8

h = - 5

2- 2c + 43 = 7c - 2
c =
Solution
- 2c + 43 - 43 = 7c - 2 - 43
- 2c = 7c - 45

- 2c - 7c = 7c - 45 - 7c
- 9c = - 45

Divide by - 9

c = 5