Let's solve each of the one-step multiplication and division equations step by step. The goal is to isolate the variable on one side of the equation.
---
1. $ 5n = 10 $
To solve for $ n $, divide both sides by 5:
$$
n = \frac{10}{5} = 2
$$
✔ Answer: $ n = 2 $
---
2. $ \frac{x}{4} = 6 $
Multiply both sides by 4:
$$
x = 6 \times 4 = 24
$$
✔ Answer: $ x = 24 $
---
3. $ 3g = 21 $
Divide both sides by 3:
$$
g = \frac{21}{3} = 7
$$
✔ Answer: $ g = 7 $
---
4. $ \frac{z}{5} = 13 $
Multiply both sides by 5:
$$
z = 13 \times 5 = 65
$$
✔ Answer: $ z = 65 $
---
5. $ 6u = 48 $
Divide both sides by 6:
$$
u = \frac{48}{6} = 8
$$
✔ Answer: $ u = 8 $
---
6. $ \frac{m}{6} = 8 $
Multiply both sides by 6:
$$
m = 8 \times 6 = 48
$$
✔ Answer: $ m = 48 $
---
7. $ 7o = 84 $
Divide both sides by 7:
$$
o = \frac{84}{7} = 12
$$
✔ Answer: $ o = 12 $
---
8. $ \frac{f}{5} = 15 $
Multiply both sides by 5:
$$
f = 15 \times 5 = 75
$$
✔ Answer: $ f = 75 $
---
9. $ 5h = 80 $
Divide both sides by 5:
$$
h = \frac{80}{5} = 16
$$
✔ Answer: $ h = 16 $
---
10. $ \frac{d}{8} = 14 $
Multiply both sides by 8:
$$
d = 14 \times 8 = 112
$$
✔ Answer: $ d = 112 $
---
11. $ 8y = 120 $
Divide both sides by 8:
$$
y = \frac{120}{8} = 15
$$
✔ Answer: $ y = 15 $
---
12. $ \frac{t}{7} = 20 $
Multiply both sides by 7:
$$
t = 20 \times 7 = 140
$$
✔ Answer: $ t = 140 $
---
13. $ 9e = 153 $
Divide both sides by 9:
$$
e = \frac{153}{9} = 17
$$
✔ Answer: $ e = 17 $
---
14. $ \frac{c}{5} = 11 $
Multiply both sides by 5:
$$
c = 11 \times 5 = 55
$$
✔ Answer: $ c = 55 $
---
15. $ 11d = 550 $
Divide both sides by 11:
$$
d = \frac{550}{11} = 50
$$
✔ Answer: $ d = 50 $
---
16. $ \frac{x}{17} = 8 $
Multiply both sides by 17:
$$
x = 8 \times 17 = 136
$$
✔ Answer: $ x = 136 $
---
17. $ 13j = 299 $
Divide both sides by 13:
$$
j = \frac{299}{13} = 23
$$
✔ Answer: $ j = 23 $
---
18. $ \frac{w}{14} = 7 $
Multiply both sides by 14:
$$
w = 7 \times 14 = 98
$$
✔ Answer: $ w = 98 $
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | $ n = 2 $ |
| 2 | $ x = 24 $ |
| 3 | $ g = 7 $ |
| 4 | $ z = 65 $ |
| 5 | $ u = 8 $ |
| 6 | $ m = 48 $ |
| 7 | $ o = 12 $ |
| 8 | $ f = 75 $ |
| 9 | $ h = 16 $ |
| 10 | $ d = 112 $ |
| 11 | $ y = 15 $ |
| 12 | $ t = 140 $ |
| 13 | $ e = 17 $ |
| 14 | $ c = 55 $ |
| 15 | $ d = 50 $ |
| 16 | $ x = 136 $ |
| 17 | $ j = 23 $ |
| 18 | $ w = 98 $ |
---
🔍 Explanation Summary:
- For equations like $ ax = b $, divide both sides by $ a $: $ x = \frac{b}{a} $
- For equations like $ \frac{x}{a} = b $, multiply both sides by $ a $: $ x = b \times a $
These are
one-step equations, so only one operation (multiplication or division) is needed to solve for the variable.
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 one step equations multiplication worksheet.
