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Mathematics Worksheet

⚖️ Linear Equations

Chapter: Algebra I · Level ★★☆ · Time: 30 min
SCORE___ / 20
NameClassDate
After this worksheet you can
Solve one- and multi-step linear equations.Isolate the variable using inverse operations.Balance both sides of an equation.Check a solution by substitution.
📚 Quick Recap

A linear equation states that two expressions are equal, with variables appearing only to the first power — solving one means finding the value that makes both sides balance.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1Solve 4x + 6 = 26:
2Solve 7x − 3 = 25:
3Solve 5x + 2 = 2x + 14:
4Solve 3(x − 1) = 12:

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5Solving 4x + 6 = 26 gives x = .
6To solve, use operations to isolate x.
7Solve for x: 4x + 6 = 26.
8Solve for x: 7x − 3 = 25.
9Solve for x: 5x + 2 = 2x + 14.

🚀 Section C · Challenge ● CHALLENGE 5

10Solve for x: 3(x − 1) = 12.
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-B  |  5 5   6 inverse   7 = x = 5   8 = x = 4   9 = x = 4  |  10 = x = 5

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