Converting Between Fahrenheit and Celsius: A Step-by-Step Guide
6-8
2
Solving One-Step Equations: Subtraction & Multiplication
Lesson Details
Grade Level
6-8
Duration (minutes)
1
Summary
This lesson teaches how to solve one-step equations using inverse operations, working through two examples: x − 7 = 12, solved by adding 7 to both sides to get x = 19, and 6x = 42, solved by dividing both sides by 6 to get x = 7. It closes with the key rule: find the operation attached to the variable, then apply its opposite to both sides to keep the equation balanced.
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:
• The Balance Rule: Whatever operation you apply to one side of an equation, you must apply to the other side too.
• Inverse Operations: Addition undoes subtraction, subtraction undoes addition, multiplication undoes division, division undoes multiplication.
• The One Rule: Find the operation attached to the variable, then apply its opposite to both sides.
Instructions: Read each question carefully and write your answer in the space provided.
- Question 1: Solve: x − 7 = 12
- Question 2: Solve: 6x = 42
- Question 3: What operation undoes subtraction?
- Question 4: What operation undoes multiplication?
- Question 5: How can you check that x = 19 is correct for x − 7 = 12?
- Question 6: Solve on your own: x − 4 = 15
Click to reveal Teacher Answer Key
1. x = 19 (add 7 to both sides)
2. x = 7 (divide both sides by 6)
3. Addition
4. Division
5. Substitute back in: 19 − 7 = 12, which matches the original equation
6. x = 19 (add 4 to both sides)
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 = 14 or 5x = 35, and have them identify the operation attached to x, apply the inverse operation, and check their answer.