Solving Equations with Variables on Both Sides

9th Grade45 minutes

Learning Objective

I can solve multi-step equations with variables on both sides.

Key Concepts

The three steps to solving multi-step equations are: distribute, combine like terms, and solve for the variable.

When distributing a negative number, remember to multiply it by each term inside the parentheses, which will change the sign of each term.

To isolate the variable, use inverse operations such as addition or subtraction to move constants to the other side of the equation, then multiply or divide to solve for the variable.

Practice Questions

This lesson includes 8 practice questions to reinforce learning.

View questions preview

1. What is the first step in solving multi-step equations according to Mr. Peters?

2. Solve for x: 2(x + 3) - 5 = 15

3. Simplify the expression by combining like terms: 5y + 3 - 2y - 7

...and 5 more questions

Educational Video

How to Solve Multi-Step Equations in 3 Easy Steps! || Algebra-1 with Mr. Peters

Algebra-1 with Mr. Peters

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