I'll solve each one-step multiplication and division equation step by step.
1. 5n = 10
Divide both sides by 5: n = 10 ÷ 5 = 2
2. x/4 = 6
Multiply both sides by 4: x = 6 × 4 = 24
3. 3g = 21
Divide both sides by 3: g = 21 ÷ 3 = 7
4. z/2 = 13
Multiply both sides by 2: z = 13 × 2 = 26
5. 6u = 48
Divide both sides by 6: u = 48 ÷ 6 = 8
6. m/5 = 8
Multiply both sides by 5: m = 8 × 5 = 40
7. 7a = 84
Divide both sides by 7: a = 84 ÷ 7 = 12
8. f/3 = 15
Multiply both sides by 3: f = 15 × 3 = 45
9. 5h = 80
Divide both sides by 5: h = 80 ÷ 5 = 16
10. b/9 = 14
Multiply both sides by 9: b = 14 × 9 = 126
11. 8y = 120
Divide both sides by 8: y = 120 ÷ 8 = 15
12. r/7 = 20
Multiply both sides by 7: r = 20 × 7 = 140
13. 9b = 153
Divide both sides by 9: b = 153 ÷ 9 = 17
14. c/12 = 11
Multiply both sides by 12: c = 11 × 12 = 132
15. 11d = 550
Divide both sides by 11: d = 550 ÷ 11 = 50
16. x/17 = 8
Multiply both sides by 17: x = 8 × 17 = 136
17. 13j = 299
Divide both sides by 13: j = 299 ÷ 13 = 23
18. w/14 = 7
Multiply both sides by 14: w = 7 × 14 = 98
Let me verify my calculations:
- 5 × 2 = 10 ✓
- 24 ÷ 4 = 6 ✓
- 3 × 7 = 21 ✓
- 26 ÷ 2 = 13 ✓
- 6 × 8 = 48 ✓
- 40 5 = 8 ✓
- 7 × 12 = 84 ✓
- 45 ÷ 3 = 15 ✓
- 5 × 16 = 80 ✓
- 126 ÷ 9 = 14 ✓
- 8 × 15 = 120 ✓
- 140 ÷ 7 = 20 ✓
- 9 × 17 = 153 ✓
- 132 12 = 11 ✓
- 11 × 50 = 550 ✓
- 136 17 = 8 ✓
- 13 × 23 = 299 ✓
- 98 ÷ 14 = 7 ✓
All answers check out!
Final Answer:
1. n = 2
2. x = 24
3. g = 7
4. z = 26
5. u = 8
6. m = 40
7. a = 12
8. f = 45
9. h = 16
10. b = 126
11. y = 15
12. r = 140
13. b = 17
14. c = 132
15. d = 50
16. x = 136
17. j = 23
18. w = 98
Parent Tip: Review the logic above to help your child master the concept of solving equations with multiplication and division worksheet.