Solving Equations Study Guide

Distributive Property

100

2(2x+10)

4x+20

200

3(x+3)

3x+9

300

-5(3x+5)

-15x-25

400

10(-3x-5)

-30x-50

500

-2(x-11)

-2x+22

Combine Like Terms

100

7x+2x-6

9x-6

200

5x-4+3x+8

8x+4

300

-10x+6y-4x+8y+22

-14x+14y+22

400

-x+9-1+7x-6x

8

500

12x+5y-5z-8x-y+9z

4x+4y+4z

Two-Step Equations

100

2x+2=6

x=2

200

2x-2=6

x=4

300

x/2+2=6

x=8

400

2-2x=6

x=-2

500

2-x/2=6

-8

Variable on Both Sides

100

x+5=2x

x=5

200

3x+5=2x+9

x=4

300

8x-10=3x-5

x=1

400

5x+14=3x+14

x=0

500

4-4x=-8x+44

x=10

Final Jeopardy

500

2(5x+5)=40

x=3