Solving Equations Practice

Steps to Solve an Equation

100

This process is when you multiply the number outside the parentheses by each term insides the parentheses.

Distribute

200

This process is when you put together all of the terms that are of the same type.  Variables with variables and constants with constants.

Combine Like Terms

300

When you want to solve, it helps to have have all the variables on one side of the equation by doing this.

Move the Variable

400

Now that you have all the variables on one side, you need to make sure that the "regular numbers" are all on the opposite side of the equation by doing this.

Add or Subtract the Constant

500

The final step to isolate the variable is to do this.

(Multiply or) Divide the Coefficient.

Put It All Together

100

2y+3+8y+4

10y+7

200

15w+2-5w+11

10w+13

300

-10z+13+14z+15

4z+28

400

5(7x-7)+2(-6x+4)

23x-27

500

7(-2z+4)-9(2z-4)

-32z+64

More than two steps? When will it end?!

100

6(x+5)=66

x=6

200

3(6x+6)=0

x=-1

300

-4(x+2)+10=-6

x=2

400

-3(x+6)+6=-30

x=6

500

-2(-2x+1)+x=-37

x=-7

Multi-Step Mayhem

100

-3(x+2)+6=-12

x=4

200

2(6x−4)−3x=19
 

x=3

300

−9(x+2)+69=20+13

x=2

400

−11(x+9)+731=16+22

x=54

500

9x+9+12x=3(5x+5)

x=1

Solve for y and Variables on Both Sides

100

-4x+y=15

y=4x+15

200

14x-7y=49

y=2x-7

300

8x-7=-5x-46

x=-3

400

12x+6=3x-84

x=-10

500

10x+2(-x-12)=3(-x+15)+8

x=7