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:

addition and subtraction
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.

#	Problem	Correct Answer	Your Answer
1	0 = a - 3	a =
Solution 0 + 3 = a - 3 + 3 3 = a a = 3

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

Complexity=5, Mode=2

Solve.

Problem

Correct Answer

Your Answer

2v + 1 = 11

v =

Solution
2v + 1 - 1 = 11 - 1
2v = 10

Divide by 2

v = 5

Problem

Correct Answer

Your Answer

32 = 5e - 3

e =

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

Divide by 5

7 = e

e = 7

Complexity=9, Mode=2

Solve.

Problem

Correct Answer

Your Answer

2 = 2c - 6

c =

Solution
2 + 6 = 2c - 6 + 6
8 = 2c

Divide by 2

4 = c

c = 4

Problem

Correct Answer

Your Answer

8j + 2 = 58

j =

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

Divide by 8

j = 7

Complexity=10, Mode=2

Solve.

Problem

Correct Answer

Your Answer

17 = 2u + 1

u =

Solution
17 - 1 = 2u + 1 - 1
16 = 2u

Divide by 2

8 = u

u = 8

Problem

Correct Answer

Your Answer

3j + 9 = 21

j =

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

Divide by 3

j = 4

Complexity=12, Mode=2

Solve.

Problem

Correct Answer

Your Answer

7k + 5 = ^-37

k =

Solution
7k + 5 - 5 = ^-37 - 5
7k = ^-42

Divide by 7

k = ^-6

Problem

Correct Answer

Your Answer

^-23 = ^-4f + 1

f =

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

Divide by ^-4

6 = f

f = 6

Complexity=15, Mode=2

Solve.

Problem

Correct Answer

Your Answer

^-26 = 5p - 11

p =

Solution
^-26 + 11 = 5p - 11 + 11
^-15 = 5p

Divide by 5

^-3 = p

p = ^-3

Problem

Correct Answer

Your Answer

7j - 1 = 20

j =

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

Divide by 7

j = 3

Complexity=20, Mode=2

Solve.

Problem

Correct Answer

Your Answer

14 = 10c - 16

c =

Solution
14 + 16 = 10c - 16 + 16
30 = 10c

Divide by 10

3 = c

c = 3

Problem

Correct Answer

Your Answer

5m - 6 = ^-16

m =

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

Divide by 5

m = ^-2

Complexity=5, Mode=1

Complexity=5, Mode=2

Complexity=9, Mode=2

Complexity=10, Mode=2

Complexity=12, Mode=2

Complexity=15, Mode=2

Complexity=20, Mode=2

Answers

Complexity=5, Mode=1

Complexity=5, Mode=2

Complexity=9, Mode=2

Complexity=10, Mode=2

Complexity=12, Mode=2

Complexity=15, Mode=2

Complexity=20, Mode=2