This document provides instruction on solving one-step equations using addition and subtraction. It introduces using tape diagrams to represent and solve equations visually before demonstrating algebraic methods. Students work through examples of solving various one-step equations algebraically and checking their solutions. The lesson aims to help students competently solve one-step equations by relating equations to diagrams and checking that their solutions make the original equations true.

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Problem Set Lesson 25 Answers

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MODULE 4 Expressions and Equaons
Topic G: Solving Equaons
Lesson 26: One‐Step Equaons ―Addion and
Subtracon
Student Outcomes
§ Students solve one‐step equaons by relang an equaon to a diagram.
§ Students check to determine if their soluon makes the equaon true.

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

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Classwork
Exercise 1
Solve each equaon. Use both tape diagrams and algebraic methods for each
problem. Use substuon 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 equaon using tape diagrams.
b. Demonstrate how to solve the equaon algebraically.
c. Check your answer.
Exercise 2
Given the equaon

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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 aer 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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