Practice solving for x with this printable one-step equations worksheet designed for middle school math students.
One-step equations worksheet with 15 algebra problems for students to solve and check.
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Show Answer Key & Explanations
Step-by-step solution for: One-Step Equations Math Worksheet Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: One-Step Equations Math Worksheet Worksheet
Let's solve each one-step equation step by step and check the solution.
---
Solve:
Subtract 5 from both sides:
$$
x = 10 - 5 = 5
$$
Check:
$$
5 + 5 = 10 \quad \text{✓ True}
$$
✔ Answer: $ x = 5 $
---
Solve:
Divide both sides by 6:
$$
x = \frac{42}{6} = 7
$$
Check:
$$
6 \times 7 = 42 \quad \text{✓ True}
$$
✔ Answer: $ x = 7 $
---
Solve:
Add 6 to both sides:
$$
x = 9 + 6 = 15
$$
Check:
$$
15 - 6 = 9 \quad \text{✓ True}
$$
✔ Answer: $ x = 15 $
---
Solve:
Multiply both sides by 6:
$$
x = 10 \times 6 = 60
$$
Check:
$$
60 \div 6 = 10 \quad \text{✓ True}
$$
✔ Answer: $ x = 60 $
---
Solve:
Divide both sides by 2:
$$
x = \frac{14}{2} = 7
$$
Check:
$$
2 \times 7 = 14 \quad \text{✓ True}
$$
✔ Answer: $ x = 7 $
---
Solve:
Subtract 7 from both sides:
$$
x = 20 - 7 = 13
$$
Check:
$$
13 + 7 = 20 \quad \text{✓ True}
$$
✔ Answer: $ x = 13 $
---
Solve:
Add 2 to both sides:
$$
x = 16 + 2 = 18
$$
Check:
$$
18 - 2 = 16 \quad \text{✓ True}
$$
✔ Answer: $ x = 18 $
---
Solve:
Subtract 7 from both sides:
$$
x = 8 - 7 = 1
$$
Check:
$$
1 + 7 = 8 \quad \text{✓ True}
$$
✔ Answer: $ x = 1 $
---
Solve:
Multiply both sides by 2:
$$
x = 5 \times 2 = 10
$$
Check:
$$
10 \div 2 = 5 \quad \text{✓ True}
$$
✔ Answer: $ x = 10 $
---
Solve:
Subtract 10 from both sides:
$$
x = 14 - 10 = 4
$$
Check:
$$
4 + 10 = 14 \quad \text{✓ True}
$$
✔ Answer: $ x = 4 $
---
Solve:
Divide both sides by 5:
$$
x = \frac{45}{5} = 9
$$
Check:
$$
5 \times 9 = 45 \quad \text{✓ True}
$$
✔ Answer: $ x = 9 $
---
Solve:
Add 9 to both sides:
$$
x = 10 + 9 = 19
$$
Check:
$$
19 - 9 = 10 \quad \text{✓ True}
$$
✔ Answer: $ x = 19 $
---
Solve:
Subtract 18 from both sides:
$$
x = 23 - 18 = 5
$$
Check:
$$
18 + 5 = 23 \quad \text{✓ True}
$$
✔ Answer: $ x = 5 $
---
Solve:
Divide both sides by 16:
$$
x = \frac{16}{16} = 1
$$
Check:
$$
16 \times 1 = 16 \quad \text{✓ True}
$$
✔ Answer: $ x = 1 $
---
Solve:
Subtract 7 from both sides:
$$
x = 7 - 7 = 0
$$
Check:
$$
0 + 7 = 7 \quad \text{✓ True}
$$
✔ Answer: $ x = 0 $
---
| Equation | Solution |
|--------|---------|
| $ x + 5 = 10 $ | $ x = 5 $ |
| $ 6x = 42 $ | $ x = 7 $ |
| $ x - 6 = 9 $ | $ x = 15 $ |
| $ x \div 6 = 10 $ | $ x = 60 $ |
| $ 14 = 2x $ | $ x = 7 $ |
| $ 20 = x + 7 $ | $ x = 13 $ |
| $ 16 = x - 2 $ | $ x = 18 $ |
| $ x + 7 = 8 $ | $ x = 1 $ |
| $ 5 = x \div 2 $ | $ x = 10 $ |
| $ x + 10 = 14 $ | $ x = 4 $ |
| $ 5x = 45 $ | $ x = 9 $ |
| $ x - 9 = 10 $ | $ x = 19 $ |
| $ 18 + x = 23 $ | $ x = 5 $ |
| $ 16x = 16 $ | $ x = 1 $ |
| $ x + 7 = 7 $ | $ x = 0 $ |
---
One-step equations require only one operation (addition, subtraction, multiplication, or division) to solve for $ x $. The goal is to isolate the variable on one side of the equation.
Always check your answer by plugging it back into the original equation!
Let me know if you'd like this in a printable format! 😊
---
🔹 1. $ x + 5 = 10 $
Solve:
Subtract 5 from both sides:
$$
x = 10 - 5 = 5
$$
Check:
$$
5 + 5 = 10 \quad \text{✓ True}
$$
✔ Answer: $ x = 5 $
---
🔹 2. $ 6x = 42 $
Solve:
Divide both sides by 6:
$$
x = \frac{42}{6} = 7
$$
Check:
$$
6 \times 7 = 42 \quad \text{✓ True}
$$
✔ Answer: $ x = 7 $
---
🔹 3. $ x - 6 = 9 $
Solve:
Add 6 to both sides:
$$
x = 9 + 6 = 15
$$
Check:
$$
15 - 6 = 9 \quad \text{✓ True}
$$
✔ Answer: $ x = 15 $
---
🔹 4. $ x \div 6 = 10 $
Solve:
Multiply both sides by 6:
$$
x = 10 \times 6 = 60
$$
Check:
$$
60 \div 6 = 10 \quad \text{✓ True}
$$
✔ Answer: $ x = 60 $
---
🔹 5. $ 14 = 2x $
Solve:
Divide both sides by 2:
$$
x = \frac{14}{2} = 7
$$
Check:
$$
2 \times 7 = 14 \quad \text{✓ True}
$$
✔ Answer: $ x = 7 $
---
🔹 6. $ 20 = x + 7 $
Solve:
Subtract 7 from both sides:
$$
x = 20 - 7 = 13
$$
Check:
$$
13 + 7 = 20 \quad \text{✓ True}
$$
✔ Answer: $ x = 13 $
---
🔹 7. $ 16 = x - 2 $
Solve:
Add 2 to both sides:
$$
x = 16 + 2 = 18
$$
Check:
$$
18 - 2 = 16 \quad \text{✓ True}
$$
✔ Answer: $ x = 18 $
---
🔹 8. $ x + 7 = 8 $
Solve:
Subtract 7 from both sides:
$$
x = 8 - 7 = 1
$$
Check:
$$
1 + 7 = 8 \quad \text{✓ True}
$$
✔ Answer: $ x = 1 $
---
🔹 9. $ 5 = x \div 2 $
Solve:
Multiply both sides by 2:
$$
x = 5 \times 2 = 10
$$
Check:
$$
10 \div 2 = 5 \quad \text{✓ True}
$$
✔ Answer: $ x = 10 $
---
🔹 10. $ x + 10 = 14 $
Solve:
Subtract 10 from both sides:
$$
x = 14 - 10 = 4
$$
Check:
$$
4 + 10 = 14 \quad \text{✓ True}
$$
✔ Answer: $ x = 4 $
---
🔹 11. $ 5x = 45 $
Solve:
Divide both sides by 5:
$$
x = \frac{45}{5} = 9
$$
Check:
$$
5 \times 9 = 45 \quad \text{✓ True}
$$
✔ Answer: $ x = 9 $
---
🔹 12. $ x - 9 = 10 $
Solve:
Add 9 to both sides:
$$
x = 10 + 9 = 19
$$
Check:
$$
19 - 9 = 10 \quad \text{✓ True}
$$
✔ Answer: $ x = 19 $
---
🔹 13. $ 18 + x = 23 $
Solve:
Subtract 18 from both sides:
$$
x = 23 - 18 = 5
$$
Check:
$$
18 + 5 = 23 \quad \text{✓ True}
$$
✔ Answer: $ x = 5 $
---
🔹 14. $ 16x = 16 $
Solve:
Divide both sides by 16:
$$
x = \frac{16}{16} = 1
$$
Check:
$$
16 \times 1 = 16 \quad \text{✓ True}
$$
✔ Answer: $ x = 1 $
---
🔹 15. $ x + 7 = 7 $
Solve:
Subtract 7 from both sides:
$$
x = 7 - 7 = 0
$$
Check:
$$
0 + 7 = 7 \quad \text{✓ True}
$$
✔ Answer: $ x = 0 $
---
✔ Final Answers Summary:
| Equation | Solution |
|--------|---------|
| $ x + 5 = 10 $ | $ x = 5 $ |
| $ 6x = 42 $ | $ x = 7 $ |
| $ x - 6 = 9 $ | $ x = 15 $ |
| $ x \div 6 = 10 $ | $ x = 60 $ |
| $ 14 = 2x $ | $ x = 7 $ |
| $ 20 = x + 7 $ | $ x = 13 $ |
| $ 16 = x - 2 $ | $ x = 18 $ |
| $ x + 7 = 8 $ | $ x = 1 $ |
| $ 5 = x \div 2 $ | $ x = 10 $ |
| $ x + 10 = 14 $ | $ x = 4 $ |
| $ 5x = 45 $ | $ x = 9 $ |
| $ x - 9 = 10 $ | $ x = 19 $ |
| $ 18 + x = 23 $ | $ x = 5 $ |
| $ 16x = 16 $ | $ x = 1 $ |
| $ x + 7 = 7 $ | $ x = 0 $ |
---
🎯 Key Concept:
One-step equations require only one operation (addition, subtraction, multiplication, or division) to solve for $ x $. The goal is to isolate the variable on one side of the equation.
Always check your answer by plugging it back into the original equation!
Let me know if you'd like this in a printable format! 😊
Parent Tip: Review the logic above to help your child master the concept of free one step equations worksheet.