Solving Equations with Variables on Both Sides

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Objective

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

Part 1 of 4

Warm-up video

Algebra-1 with Mr. Peters · 9:08

We don't generate video — this one is by Algebra-1 with Mr. Peters on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

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

  2. 2

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

  3. 3

    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.

Part 3 of 4

Practice

8 questions

1

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

2

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

Part 4 of 4

Exit ticket

Quick comprehension check

Solve for x: 2(x + 3) - 5 = 3x + 4

Sample answer included in the free materials

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