Algebra 2 Unit 1 Solving Linear Equations

Algebra 2 Unit 1: Linear Equations

The first unit of most Algebra 2 courses covers linear equations and their applications. Mastering these sets the foundation for everything that follows.

Key Concepts

• One-step, two-step, and multi-step equations
• Variables on both sides
• Distributive property applications
• Word problems with linear equations

Worked Example

Solve \( 3(2x - 4) + 5 = 2x + 9 \):

1. Distribute: \( 6x - 12 + 5 = 2x + 9 \)
2. Combine: \( 6x - 7 = 2x + 9 \)
3. Subtract 2x: \( 4x - 7 = 9 \)
4. Add 7: \( 4x = 16 \)
5. Divide: \( x = 4 \)

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