Let's solve each of the
one-step equations listed in the image. A one-step equation is an equation that can be solved in a single step by performing one operation (addition, subtraction, multiplication, or division) on both sides.
---
1) 3x = 6
To solve for $ x $, divide both sides by 3:
$$
x = \frac{6}{3} = 2
$$
✔ Answer: $ x = 2 $
---
2) 12x = 24
Divide both sides by 12:
$$
x = \frac{24}{12} = 2
$$
✔ Answer: $ x = 2 $
---
3) 50x = 100
Divide both sides by 50:
$$
x = \frac{100}{50} = 2
$$
✔ Answer: $ x = 2 $
---
4) 3x = 9
Divide both sides by 3:
$$
x = \frac{9}{3} = 3
$$
✔ Answer: $ x = 3 $
---
5) 4x = 24
Divide both sides by 4:
$$
x = \frac{24}{4} = 6
$$
✔ Answer: $ x = 6 $
---
6) 9x = 81
Divide both sides by 9:
$$
x = \frac{81}{9} = 9
$$
✔ Answer: $ x = 9 $
---
7) 7x = 14
Divide both sides by 7:
$$
x = \frac{14}{7} = 2
$$
✔ Answer: $ x = 2 $
---
8) 6x = 24
Divide both sides by 6:
$$
x = \frac{24}{6} = 4
$$
✔ Answer: $ x = 4 $
---
9) 5x = 45
Divide both sides by 5:
$$
x = \frac{45}{5} = 9
$$
✔ Answer: $ x = 9 $
---
10) 3x = 27
Divide both sides by 3:
$$
x = \frac{27}{3} = 9
$$
✔ Answer: $ x = 9 $
---
✔ Final Answers:
1) $ x = 2 $
2) $ x = 2 $
3) $ x = 2 $
4) $ x = 3 $
5) $ x = 6 $
6) $ x = 9 $
7) $ x = 2 $
8) $ x = 4 $
9) $ x = 9 $
10) $ x = 9 $
---
🔍 Explanation:
Each equation is of the form $ ax = b $. To solve for $ x $, we divide both sides by $ a $:
$$
x = \frac{b}{a}
$$
This isolates $ x $ and gives the solution.
Let me know if you'd like this in a printable format or with steps shown!
Parent Tip: Review the logic above to help your child master the concept of algebra one step equation worksheet.