Equations with Variables on Each Side & Absolute Value

Whole Numbers

100

2x + 9 = 3x - 9

18

200

6x + 4 = 3x + 10

2

300

3x - 20 = 5x + 12

-16

400

2x - 6 = 5x - 6

0

500

60 + 25x = 450 + 10x

26

Absolute Value

100

| k - 10 | = 3

{7, 13}

200

|7 + p | = 7

{-14, 0}

300

| a / 7 |   = 3

{-21, 21}

400

| a - 5 |  8  = 5

{-35, 45}

500

4 | n + 8 |  = 56

{-22, 6}

Questions

100

What do we need to get by itself?

Variable

200

What is the inverse of addition?

Subtraction

300

What is the inverse of division?

multiplication

400

What can I combine the fraction (2/5) with?

(1/8)m + (2/5) + (1/2)m = (3/8)m + (3/4)m 

Nothing

500

Write all of the fractions I can combine:

(-2/6)x + (5/6)x + 2 = (-3/6) + (1/6)x

-2/6, 5/6, 1/6

Mix

100

5x - 8 = 4x

x = 8

200

6 + 5x = 8 + 4x

x = 2

300

5 + 0.5s = s

s = 10

400

| n | - 6 = 10

{-16, 16}

500

 | n + 6 | + 10  = 52

{-48 ,36}