One-Step Equations-Addition and Subtraction

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.

Related Topics:
Lesson Plans and Worksheets for Grade 6
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 6
Common Core For Grade 6

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

Grade 6, Module 4, Lesson 26 Worksheets (PDF)

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.
c. Check your answer.

Exercise 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
b. f - 15 = 15
c. g - 8 = 9

• Show Step-by-step Solutions

• Show Step-by-step Solutions

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

4. Find the solution to the equation algebraically. Check your answer.
g - 62 = 14

5. Find the solution to the equation using the method of your choice. Check your answer.
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

• Show Step-by-step Solutions

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.