Solving Equations

One-Step Equations

100

x - 9 = 13

x = 22

200

x + 16 = 0

x= -16

300

4 = x - 8

x = 12

400

5x = -80

x= -16

500

x/5 =7

x= 35

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

(x/2)+2 =-8

x= -20

400

(x/2)+8=10

x= 4

500

(x/3)-3=-3

x= 0

Solve by Distribution

100

Solving Equations

3(x + 1) = 21

x = 6

200

Solving Equations

2(x - 2) = 10

x = 7

300

Solving Equations

-4(x - 3) = -48

x = 15

400

Solving Equations

5(-2x + 3) = 35

x = -2

500

Solving Equations

-9(-4x + 6) = -234

x = -5

Equations with Variables on Both Sides

100

4x - 2 = 3x + 5

x = 7

200

2x - 8 = 5x + 4

x = -4

300

3 + 4x = 2x + 11

x = 4

400

9 - x = 6 + 2x

x = 1

500

10x + 18 = 8x + 4

x = -7

Random

100

How would we get x alone?

6x=36

Divide by 6 on both sides

200

What operation is the inverse of subtraction?

addition

300

What operation is the inverse of multiplication?

division

400

How would we get x alone?

x/8 - 7 = 25

add 7 on both sides, then multiply by 8 on both sides

500

Solve for x:

8 + 4x = 9x - 7

x = 3