Here are the solutions for each equation on the worksheet. To solve these, we use inverse operations: if a number is multiplying the variable, we divide by it; if a number is dividing the variable, we multiply by it.
1. $5n = 10$
Divide both sides by 5:
$n = 10 \div 5$
$n = 2$
2. $\frac{x}{5} = 6$
Multiply both sides by 5:
$x = 6 \times 5$
$x = 30$
3. $3g = 21$
Divide both sides by 3:
$g = 21 \div 3$
$g = 7$
4. $\frac{c}{7} = 13$
Multiply both sides by 7:
$c = 13 \times 7$
$c = 91$
5. $6u = 48$
Divide both sides by 6:
$u = 48 \div 6$
$u = 8$
6. $\frac{m}{5} = 8$
Multiply both sides by 5:
$m = 8 \times 5$
$m = 40$
7. $7a = 84$
Divide both sides by 7:
$a = 84 \div 7$
$a = 12$
8. $\frac{t}{3} = 15$
Multiply both sides by 3:
$t = 15 \times 3$
$t = 45$
9. $5h = 80$
Divide both sides by 5:
$h = 80 \div 5$
$h = 16$
10. $\frac{k}{9} = 14$
Multiply both sides by 9:
$k = 14 \times 9$
$k = 126$
11. $8y = 120$
Divide both sides by 8:
$y = 120 \div 8$
$y = 15$
12. $\frac{r}{7} = 20$
Multiply both sides by 7:
$r = 20 \times 7$
$r = 140$
13. $9b = 153$
Divide both sides by 9:
$b = 153 \div 9$
$b = 17$
14. $\frac{c}{12} = 11$
Multiply both sides by 12:
$c = 11 \times 12$
$c = 132$
15. $11d = 550$
Divide both sides by 11:
$d = 550 \div 11$
$d = 50$
16. $\frac{x}{17} = 8$
Multiply both sides by 17:
$x = 8 \times 17$
$x = 136$
17. $13j = 299$
Divide both sides by 13:
$j = 299 \div 13$
$j = 23$
18. $\frac{w}{14} = 7$
Multiply both sides by 14:
$w = 7 \times 14$
$w = 98$
Final Answer:
1. n = 2
2. x = 30
3. g = 7
4. c = 91
5. u = 8
6. m = 40
7. a = 12
8. t = 45
9. h = 16
10. k = 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 one step equations multiplication and division worksheet answers.
