Basic Algebra/Solving Equations/Solving Equations with Variables on Both Sides of the Equation

VocabularyEdit

Variable - a letter (a-z) that takes the place of a number.

Equation - an example would be like 8y - 3 = 1 + 10y (The answer is y=-2 )

LessonEdit

NOTE: WHAT YOU DO TO ONE SIDE YOU MUST DO TO THE OTHER SIDE! NO EXCEPTIONS!

1) do the distributive property.

2) Combine like terms on both sides.

3) add/subtract numbers next to a variable on both sides.

4) divide by the number next to the variable on both sides.

5) The answer should look like: x=20 or 20=x.

(Note: the variables and numbers may vary in your answer.)

Example ProblemsEdit

A simple problem:


2(x+5)=5(x-10)<---Problem

2x+10=5x-50<---Distributive Prop.

2x+10-2x=5x-2x-50<---Subtract the variables with numbers next to them.

10=3x-50<---This is what you're left with.

10+50=3x-50+50<---get rid of the 50 by subtracting

60=3x<---This is what you're left with.

60/3=3x/3<---Get rid of the three by dividing by three

20=x<---This is your answer.

Practice GamesEdit

Put links here to games that reinforce these skills

Purplemath.com: http://www.purplemath.com/modules/index.htm

Practice ProblemsEdit

(Note: put answer in parentheses after each problem you write)

Practice Problem #1:

3x - 2 = x + 16

Answer: x = 9

Practice Problem #2:

2y = 15 - y

Answer :y = 5

Practice Problem #3:

\frac{z - 5}{-3} = 9 + 3.4z

Amswer: z = -1\frac{27}{28}

Last modified on 16 February 2014, at 08:30