8th Grade Equations Review

Combing Like Terms & Distributive Property

100

12 + 3.5p - 5.4p - p

-3p + 12

200

-6(9 - 9v)

-54 + 54v

300

-2n -(9 - 10n)

8n - 9

400

7(-12x - 3) + 10(6x + 7)

-24x + 49

500

A figure has the following measurements

x, 2x+5, 3x+2, and 6x-17

What will the perimeter be?

12x - 10

Steps to Solving

100

What is the first step to solving this linear equation?

3b+4=19

subtract 4 from both sides

200

What would be the second step?

-5y+7= -23

divide by -5 on both sides

300

What is the second step?

-3(1 - 10x) + 5x = 5

Combine 30x and 5x

You get 600pts.

400

What is the correct order to solve linear equations?

Distribute, Combine Like Terms, Add/Subtract, Multiply/Divide

500

What is the final step?

4/5 m +2= -6

Multiply both sides by 5/4

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

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

x = 4

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

10(x + 3) -(-9x - 4) = x - 5 + 3

Double Points

x=-2

You get 800 points

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, infinite solutions

200

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

No solution

300

x = -3 is an example of what type of solution?

One Solution

400

A linear equation that has the same coefficient and different constant will be an example of that type of solution?

No Solutions

500

When solving a linear equation and you get 6x+2=6x+2, how many solutions would this equation have?

Infinite Solutions