This document provides instruction on solving one-step equations using addition and subtraction. It introduces using tape diagrams to visualize and solve equations. Students will practice solving equations algebraically and using tape diagrams. They will check their work by substituting solutions back into the original equations. Examples are provided for students to solve equations involving addition or subtraction of a single variable term.

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Problem Set Lesson 25 Answers

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MODULE 4 Expressions and Equations
Topic G: Solving Equations
Lesson 26: One‐Step Equations―Addition and
Subtraction
Student Outcomes
§ Students solve one‐step equations by relating an equation to a diagram.
§ Students check to determine if their solution makes the equation true.

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Let's see how to use tape diagrams to calculate solutions to one‐step equations.
a + 2 = 8

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Classwork
Exercise 1
Solve each equation. Use both tape diagrams and algebraic methods for each
problem. Use substitution to check your answers.
a. b + 9 = 15

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b. 12 = 8 + c

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d ­ 5 = 7
a. Demonstrate how to solve the equation using tape diagrams.
b. Demonstrate how to solve the equation algebraically.
c. Check your answer.
Exercise 2
Given the equation

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Example 3
Solve each problem and show your work. You may choose which method (tape
diagrams or algebraically) you prefer. Check your answers after solving each problem.
a. e + 12 = 20

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b. f ­ 10 = 15

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c. g ­ 8 = 9

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Closing
Please take out your exit ticket for Lesson 26, close your
binder, and complete the exit ticket. This will be collected.

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