MathematicsFreePrintable

One-Step Equations Practice

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One-Step Equations Practice worksheet preview

One-Step Equations Practice

Balance scale with algebraic equations

🔍 Part 1: Solve Each One-Step Equation

Instructions: Use inverse operations to solve each equation. Show your work in the box provided.

1. x + 8 = 15

Solution: x = _______

2. y - 12 = 7

Solution: y = _______

3. 6n = 42

Solution: n = _______

4. m ÷ 4 = 9

Solution: m = _______

5. k + 5 = -2

Solution: k = _______

6. 3p = -18

Solution: p = _______

✓ Part 2: Check Your Solutions

Instructions: Use substitution to check if your solutions from Part 1 are correct. Replace the variable with your answer and verify both sides are equal.

7. Check your answer for problem #1 (x + 8 = 15):

Substitute x = _____ into the original equation:

8. Check your answer for problem #3 (6n = 42):

Substitute n = _____ into the original equation:

9. Check your answer for problem #5 (k + 5 = -2):

Substitute k = _____ into the original equation:

📝 Part 3: Explain Your Process

10. Choose one equation from Part 1 and explain step-by-step how you solved it. Include why you used the inverse operation you chose.

I chose equation #_____ : ________________

11. Create your own one-step equation and solve it:

My equation: ________________

Solution: _______

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