 Videos and solutions to help Grade 6 students learn how to solve one-step equations by relating an equation to a diagram and check to determine if their solution makes the equation true.

New York State Common Core Math Grade 6, Module 4, Lesson 26

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Lesson 26 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.

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
b. 12 = 8 + c

Exercise 2

Given the equation d - 5 = 7:

a. Demonstrate how to solve the equation using tape diagrams.
b. Demonstrate how to solve the equation algebraically.

Exercise 3

Solve each problem and show your work. You may choose which method (tape diagrams or algebraically) you prefer.

a. e + 12 = 20
b. f - 15 = 15
c. g - 8 = 9

Problem Set
1. Find the solution to the equation below using tape diagrams. Check your answer.
m - 7 = 17

2. Find the solution of the equation below algebraically. Check your answer.
n + 14 = 25

3. Find the solution of the equation below using tape diagrams. Check your answer.
p + 8 = 18

g - 62 = 14

m + 108 = 243

6. Identify the mistake in the problem below. Then, correct the mistake.
p - 21 = 34
p - 21 - 21 = 34 - 21
p = 13

7. Identify the mistake in the problem below. Then, correct the mistake.
q + 18 = 22
q + 18 - 18 = 22 + 18
q = 40

8. Match the equation with the correct solution on the right.
r + 10 = 22, r = 10
r - 15 = 5, r = 20
r - 18 = 14, r = 12
r + 5 = 15, r = 32

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