To solve these one-step multiplication and division equations, we need to isolate the variable (the letter) on one side of the equal sign. We do this by performing the opposite operation on both sides of the equation.
Here is the step-by-step solution for each problem:
1.
3x = 9
Divide both sides by 3:
x = 9 ÷ 3
x = 3
2.
y/7 = 11
Multiply both sides by 7:
y = 11 × 7
y = 77
3.
5j = 20
Divide both sides by 5:
j = 20 ÷ 5
j = 4
4.
a/5 = 12
Multiply both sides by 5:
a = 12 × 5
a = 60
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.
x/4 = 16
Multiply both sides by 4:
x = 16 × 4
x = 64
9.
4m = 56
Divide both sides by 4:
m = 56 ÷ 4
m = 14
10.
g/7 = 13
Multiply both sides by 7:
g = 13 × 7
g = 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/15 = 27
Multiply both sides by 15:
b = 27 × 15
b = 405
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 Answer:
1. x = 3
2. y = 77
3. j = 4
4. a = 60
5. c = 6
6. d = 54
7. z = 11
8. x = 64
9. m = 14
10. g = 91
11. k = 18
12. y = 63
13. p = 13
14. b = 405
15. u = 20
16. n = 114
17. n = 24
18. s = 128
Parent Tip: Review the logic above to help your child master the concept of solving equations with multiplication and division worksheet.
