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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Common Core For Grade 6

**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

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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

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

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

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

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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