Math Skill: Single Variable Equations 2
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Single Variable Equations 2

Master Single Variable Equations first before starting this topic.
To review the Single Variable Equations topic, see here.

The problems in this topic usually require more than one operation.
To make calculations easier, follow this order of operations:

1. addition and subtraction
2. multiplication and division

Example 1:

Solve.
- 25 = 3h - 1     h =

So the answer is h =

Example 2:

Solve.
- 8n + 2 = - 30     n =

So the answer is n =

Complexity=5, Mode=1

Solve.
 1.   0 = a - 3 a = 2.   - 3 = g - 1 g =

Complexity=5, Mode=2

Solve.
 1.   2v + 1 = 11 v = 2.   32 = 5e - 3 e =

Complexity=9, Mode=2

Solve.
 1.   2 = 2c - 6 c = 2.   8j + 2 = 58 j =

Complexity=10, Mode=2

Solve.
 1.   17 = 2u + 1 u = 2.   3j + 9 = 21 j =

Complexity=12, Mode=2

Solve.
 1.   7k + 5 = - 37 k = 2.   - 23 = - 4f + 1 f =

Complexity=15, Mode=2

Solve.
 1.   - 26 = 5p - 11 p = 2.   7j - 1 = 20 j =

Complexity=20, Mode=2

Solve.
 1.   14 = 10c - 16 c = 2.   5m - 6 = - 16 m =

Complexity=5, Mode=1

Solve.
10 = a - 3
a =
Solution
0 + 3 = a - 3 + 3
3 = a

a = 3

2- 3 = g - 1
g =
Solution
- 3 + 1 = g - 1 + 1
- 2 = g

g = - 2

Complexity=5, Mode=2

Solve.
12v + 1 = 11
v =
Solution
2v + 1 - 1 = 11 - 1
2v = 10

Divide by 2

v = 5

232 = 5e - 3
e =
Solution
32 + 3 = 5e - 3 + 3
35 = 5e

Divide by 5

7 = e

e = 7

Complexity=9, Mode=2

Solve.
12 = 2c - 6
c =
Solution
2 + 6 = 2c - 6 + 6
8 = 2c

Divide by 2

4 = c

c = 4

28j + 2 = 58
j =
Solution
8j + 2 - 2 = 58 - 2
8j = 56

Divide by 8

j = 7

Complexity=10, Mode=2

Solve.
117 = 2u + 1
u =
Solution
17 - 1 = 2u + 1 - 1
16 = 2u

Divide by 2

8 = u

u = 8

23j + 9 = 21
j =
Solution
3j + 9 - 9 = 21 - 9
3j = 12

Divide by 3

j = 4

Complexity=12, Mode=2

Solve.
17k + 5 = - 37
k =
Solution
7k + 5 - 5 = - 37 - 5
7k = - 42

Divide by 7

k = - 6

2- 23 = - 4f + 1
f =
Solution
- 23 - 1 = - 4f + 1 - 1
- 24 = - 4f

Divide by - 4

6 = f

f = 6

Complexity=15, Mode=2

Solve.
1- 26 = 5p - 11
p =
Solution
- 26 + 11 = 5p - 11 + 11
- 15 = 5p

Divide by 5

- 3 = p

p = - 3

27j - 1 = 20
j =
Solution
7j - 1 + 1 = 20 + 1
7j = 21

Divide by 7

j = 3

Complexity=20, Mode=2

Solve.
114 = 10c - 16
c =
Solution
14 + 16 = 10c - 16 + 16
30 = 10c

Divide by 10

3 = c

c = 3

25m - 6 = - 16
m =
Solution
5m - 6 + 6 = - 16 + 6
5m = - 10

Divide by 5

m = - 2