Solving Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 + x

x= 5

400

5x = -80

x= -16

500

-16 = x+2

x= -18

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

Vocab

100

An equation is solved by performing: _______

Inverse Operations

200

When solving a multi-step equation your first step should be: _______________

distribute is possible

300

Equations with one solution have:

different variable terms

400

Equations with Infinite Solutions have:

the same variable terms and the same constants

500

Equations with no solutions have:

The same variable terms and different constants

Multi-Step Equations

100

Solving Equations

x + 3 + 3x = 7

x = 1

200

Solving Equations

5 + 5x - 1 = 29

x = 5

300

Solving Equations

-45 = 3x + 4 + 4x

x = -7

400

Solving Equations

14 = -(2a + 6) + 2

a= -9

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Equations with Variables on Both Sides

100

4x - 2 = 3x + 5

x = 7

200

2(x - 4) = 5x + 4

x = -4

300

6x + 3 - 2x = 4x + 11

No solution

400

9 - x = 6 + 2x

x = 1

500

6x - 15 + 4x = 5(2x - 3)

Infinite Solutions