MathsFreePrintable

Linear Equations Practice

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Linear Equations Practice worksheet preview

Linear Equations Practice

Balance scale showing equation solving

📚 Part 1: One-Step Equations

Solve each equation using inverse operations. Show your working.

1. x + 7 = 12
2. m - 3.5 = 8.2
3. 6y = 24
4. n ÷ 4 = 2.5

✏️ Part 2: Two-Step Equations

Solve each equation step by step. Remember to check your answer by substitution.

5. 3x + 8 = 20
6. 2y - 7 = 15
7. 4m + 5.5 = 17.5
8. (p + 6) ÷ 3 = 4

🌟 Part 3: Word Problems & Extensions

9. Sarah has $15 more than Jake. If Sarah has $32, how much does Jake have?

Write an equation: ___________________

10. A rectangle has a perimeter of 28 cm. If the width is 5 cm, what is the length?

Hint: Perimeter = 2(length + width)

Write an equation: ___________________

11. Extension Challenge: Solve: ½x - 3 = 7
12. Check your answer to question 11 by substitution:

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