Subtracting Integers on a Number Line
6-8
1
Solving One-Step Equations: x + 5 = 12
Lesson Details
Grade Level
6-8
Duration (minutes)
1
Summary
This lesson teaches how to solve a one-step equation using the example x + 5 = 12. It shows that to get the variable alone, you use the opposite operation of what's attached to it — since 5 is being added, you subtract 5 from both sides, canceling it out on the left and leaving x = 7 on the right. It closes with the key rule: whatever you do to one side of an equation, you must do to the other side too, to keep it 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:
• One-Step Equation: An equation you can solve using just one math operation.
• Inverse Operations: To undo an operation, use its opposite (the opposite of adding is subtracting, and vice versa).
• Balance Rule: Whatever you do to one side of an equation, you must do to the other side too.
Instructions: Read each question carefully and write your answer in the space provided.
- Question 1: What is a one-step equation?
- Question 2: In the equation x + 5 = 12, what operation is attached to x?
- Question 3: What is the opposite (inverse) operation used to solve x + 5 = 12?
- Question 4: Solve for x: x + 5 = 12. Show your work.
- Question 5: What is the “key rule” for keeping an equation balanced?
- Question 6: Solve for x on your own: x + 8 = 20. Show your work.
Click to reveal Teacher Answer Key
1. An equation you can solve using just one math operation.
2. Addition (+5).
3. Subtraction (subtract 5 from both sides).
4. x + 5 – 5 = 12 – 5, so x = 7.
5. Whatever you do to one side of the equation, you must do to the other side too, to keep it balanced.
6. x + 8 – 8 = 20 – 8, so x = 12.
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: Have students write their own one-step addition equation (like the video's example), trade papers with a partner, and solve each other's equations using inverse operations, showing every step just like the video demonstrated.