8th Grade Equations Review

Simplify

100

2x+3+4x+7

6x+10

200

2(2x+3)-8x

-4x+6

300

Simplify an expression for the perimeter of the equilateral triangle that has a side of 1.75x-2

5.25x-6

400

Which of the following expressions has a simplified value of 3a – 2?

A. -6a + 9a + 4 – 2

B. -a + 4 + 5a – a – 6

C. -8 + 3a + 10 – a

D. -10 – 5a + 12 + 8a

B

500

(-1/3)(9x-18)+8x

5x+6

Two-Step

100

3b+4=19

b=5

200

-5y+7= -23

y=6

300

15 – 2.5x = 40

x=-10

400

1/3 x +5= -2

X=-21

500

4/5 m +2= -6

m=-10

Variables on both sides

100

2x+5= 3x

x=5

200

5x+2= 3x-8

x=-5

300

12x+8= 3x+62

x=6

400

16-4x=7x+5

x=1

500

-4 – 0.2x + 11 = -0.8x + 10

x=5

Multi-Step Equations

100

7(x-2)=6x

x=14

200

-(a-12)+4a= 9a

a=2

300

3(x+1)=x+5

x=1

400

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

x=3

500

4(2a+3)= -3(a-1)+31

a=2

Types of Solutions

100

Name the three different types of solutions for equations.

One solution, No solution, all real/infinite solutions

200

If after solving the equation you arrive at 5 = -5, what is the type of solution?

No solution

300

How many solutions does 3n – 11 = -n – 75 have?

One

400

If you arrive at the step 6=6 when solving an equation, what would be the solution?

All Real / Infinite Solutions

500

If you arrive at 6x+2=6x+2 when solving the equation, what type of solution can you predict this is?

All Real / Infinite Solutions