Sure! Let’s solve each of the 18 one-step multiplication and division equations step by step. The goal is to isolate the variable (x, y, z, etc.) on one side of the equation.
---
1. 3x = 9
Divide both sides by 3:
→ x = 9 ÷ 3
→
x = 3
---
2. y/2 = 11
Multiply both sides by 2:
→ y = 11 × 2
→
y = 22
---
3. 5j = 20
Divide both sides by 5:
→ j = 20 ÷ 5
→
j = 4
---
4. z/3 = 12
Multiply both sides by 3:
→ z = 12 × 3
→
z = 36
---
5. 7c = 42
Divide both sides by 7:
→ c = 42 ÷ 7
→
c = 6
---
6. d/6 = 9
Multiply both sides by 6:
→ d = 9 × 6
→
d = 54
---
7. 9z = 99
Divide both sides by 9:
→ z = 99 ÷ 9
→
z = 11
---
8. y/4 = 16
Multiply both sides by 4:
→ y = 16 × 4
→
y = 64
---
9. 4m = 56
Divide both sides by 4:
→ m = 56 ÷ 4
→
m = 14
---
10. q/7 = 13
Multiply both sides by 7:
→ q = 13 × 7
→
q = 91
---
11. 6k = 108
Divide both sides by 6:
→ k = 108 ÷ 6
→
k = 18
---
12. y/3 = 21
Multiply both sides by 3:
→ y = 21 × 3
→
y = 63
---
13. 8p = 104
Divide both sides by 8:
→ p = 104 ÷ 8
→
p = 13
---
14. b/10 = 27
Multiply both sides by 10:
→ b = 27 × 10
→
b = 270
---
15. 12u = 240
Divide both sides by 12:
→ u = 240 ÷ 12
→
u = 20
---
16. n/19 = 6
Multiply both sides by 19:
→ n = 6 × 19
→
n = 114
---
17. 15n = 360
Divide both sides by 15:
→ n = 360 ÷ 15
→
n = 24
---
18. s/16 = 8
Multiply both sides by 16:
→ s = 8 × 16
→
s = 128
---
✔ Final Answers:
1. x = 3
2. y = 22
3. j = 4
4. z = 36
5. c = 6
6. d = 54
7. z = 11
8. y = 64
9. m = 14
10. q = 91
11. k = 18
12. y = 63
13. p = 13
14. b = 270
15. u = 20
16. n = 114
17. n = 24
18. s = 128
---
📌
Key Concept Reminder:
- For
multiplication equations (like 3x = 9), divide both sides by the coefficient.
- For
division equations (like y/2 = 11), multiply both sides by the denominator.
This keeps the equation balanced while isolating the variable.
Let me know if you’d like to see these solved with a visual diagram or check your work!
Parent Tip: Review the logic above to help your child master the concept of one step division equations worksheet.
