Go Back

Solving One-Step Equations

New

Lesson Details

Grade Level
6-8
Duration (minutes)
1
Summary
A grade 6-8 math lesson teaching how to solve one-step equations using inverse operations — subtracting to undo addition, adding to undo subtraction, and dividing to undo multiplication — with three worked examples.

Solving one-step equations using inverse operations — x plus 6 equals 11 solved by subtracting 6 to get x equals 5, x minus 8 equals 3 solved by adding 8 to get x equals 11, and 2x equals 14 solved by dividing by 2 to get x equals 7

Student Worksheet: Solving One-Step Equations

Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!

Key Concepts:

• Balance: Whatever you do to one side of an equation, you must do to the other side.

• Inverse Operations: Subtraction undoes addition, addition undoes subtraction, and division undoes multiplication.

• Checking: Substitute your answer back into the original equation to confirm it works.

Instructions: Read each question carefully and write your answer in the space provided.

  1. Question 1: Solve: x + 6 = 11
  2. Question 2: Solve: x − 8 = 3
  3. Question 3: Solve: 2x = 14
  4. Question 4: What operation undoes multiplication?
  5. Question 5: How can you check that x = 5 is correct for x + 6 = 11?
Click to reveal Teacher Answer Key

1. x = 5

2. x = 11

3. x = 7

4. Division

5. Substitute 5 back in: 5 + 6 = 11, which matches the original equation

Disclaimer: This worksheet was generated with AI assistance based on original video content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.

🎯 Extension Activity: Give students a new one-step equation, like x + 9 = 20 or 3x = 21, and have them identify the operation attached to x, apply the inverse operation, and check their answer.

Related Lessons

Scroll to Top