Math 8 Equations Review

Solving Equations with Variables on One Side

100

-3x+2=14

x=-4

200

-4(5x-3)-8=64

x=-3

300

4/5x-6=-6/5

x=6

400

2/6(3x+4)-1/6=-5/6

x=-2

500

7/2(4p-5/4)=-595/8

x=-5

Variables on Both Sides

100

3x+4=5x-10

x=7

200

8-12x=4(2x-3)

x=1

300

-3(2x-5)-7=-8x+2

x=-3

400

3/4(4-2x)=5(x-1.5)-2.5

x=2

500

17/4+1/2x=3/2(-10/3x+1)

x=-1/2

Finish the Equation

100

Finish the equation to make it true for all solutions

12x-5=

12x-5=12x-5

200

Finish the equation to make it true for no solutions

-3x+4=

Any equation where m=3 and b≠4

300

Finish the equation to make it true for all solutions

3-4(5x+2)=

3-4(5x+2)=-20x-5

400

Finish the equation to make it true for no solutions

3(2x-5)-x=

Any equation where m=5 and b≠-5

500

Finish the equation so that it is true for all solutions

3+1/4(8x-12)-2x=

x

How Many Solutions?

100

6x+3=6x-4

No solutions. The lines are parallel because they have the same slope and different y-intercepts.

200

5x+4-3x=10+2x-6

All solutions. The lines have the same slope and y-intercept.

300

-2x+5=8x-6x-2

One solution. The slope is different for each line and they intersect where x=1.75

400

6x-4+2(5x+2)=16x

All solutions. The lines have the same slope and y-intercept.

500

4x=-4x

One solution. The lines will intersect at x=0.

Random

100

Who is this?

Sheldon Graduate Justin Herbert

200

WHAT ARE THOSE?

300

What band is this?

Spice Girls

400

WHO'S THAT POKEMON?

Jigglypuff!

500

What is this?

The Lincoln Memorial in Washington, DC