2-3: Solving Two-Step Equations

Part 1

Example Using Models to Solve Two-Step Equations

Write the modeled equation. Then solve it.

On the left, a group of 3 x-tiles and 2 one-tiles. On the right, a group of 11 one-tiles.

Solution

Step 1 Represent the equation in algebra tiles. 3x + 2 = 11

First four steps for solving 3x + 2 = 11

Step 2 Add two −1 tiles to each side.

First four steps for solving 3x + 2 = 11

Step 3 On each side, the −1 and + 1 tiles make two groups of zero pairs.

First four steps for solving 3x + 2 = 11

Step 4 Remove the zero pairs so there are three x tiles on the left and nine + 1 tiles on the right.

First four steps for solving 3x + 2 = 11


End ofPage 58

Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties