Linear Equations

Solve one-step and two-step linear equations with real-world applications.

7th Grade

Equations

~45 min

🎮 Interactive Activity: One-Step Equation Solver

Solve equations step by step!

3x + 5 = 17

🎮 Interactive Activity: Two-Step Equation Solver

Solve two-step equations using inverse operations!

2x + 5 = 17

1. Understanding Linear Equations

What is a Linear Equation?

A linear equation is an equation where the variable has an exponent of 1. The graph of a linear equation is a straight line.

Example: Linear vs Non-linear

Linear: 3x + 5 = 14, 2x - 7 = 0

Non-linear: x² + 3 = 10, 2x³ = 16

Key Concepts:

• Solution: The value that makes the equation true
• Inverse Operations: Operations that undo each other (addition/subtraction, multiplication/division)
• Balance: Whatever you do to one side, do to the other

2. One-Step Equations

3. Two-Step Equations

4. Word Problems

5. Problem-Solving Strategies

6. Common Errors & Tips

Frequently Asked Questions

Practice Time!

Practice Quiz

Questions

Correct

Score

Solve: x + 8 = 15

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Solve: 5x = 35

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Solve: 3x - 7 = 14

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Solve: 2x + 5 = 17

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Solve: x/4 = 6

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Solve: 4x + 3 = 2x + 11

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Solve: 3(x - 4) = 15

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Solve: 2x - 6 = x + 3

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Solve: 5 - 2x = 11

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Solve: 3x/2 = 9

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