Answers − Solving Equations, Multiplication and Division 1
1. If 7 y = 21, what is the value of y?
The inverse of × 7 is ÷ 7. So divide both sides by 7
To verify, put the value of y = 3 back into the original equation
7 × 3 = 21
2. If 5 a = 55, what is the value of a?
The inverse of × 5 is ÷ 5. So divide both sides by 5
To check, put the value of a = 11 back into the original equation
5 × 11 = 55
3. If 6 z = 42, solve z
The inverse of × 6 is ÷ 6. So divide both sides by 6
To verify, put the value of z = 7 back into the original equation
6 × 7 = 42
4. If 9 y = 36, what is the value of y?
The inverse of × 9 is ÷ 9. So divide both sides by 9
To check, put the value of y = 4 back into the original equation
9 × 4 = 36
5. If 8 z = 24, solve z
The inverse of × 8 is ÷ 8. So divide both sides by 8
To verify, put the value of z = 3 back into the original equation
8 × 3 = 24
6. If y/8 = 5, what is the value of y?
The inverse of ÷ 8 is × 8. So multiply both sides by 8
To check, put the value of y = 40 back into the original equation
40 ÷ 8 = 5
7. If b/8 = 7, solve b
The inverse of ÷ 8 is × 8. So multiply both sides by 8
To verify, put the value of b = 56 back into the original equation
56 ÷ 8 = 7
8. If y/9 = 6, what is the value of y?
The inverse of ÷ 9 is × 9. So multiply both sides by 9
To check, put the value of y = 54 back into the original equation
54 ÷ 9 = 6
9. If z/4 = 9, solve z
The inverse of ÷ 4 is × 4. So multiply both sides by 4
To verify, put the value of z = 36 back into the original equation
36 ÷ 4 = 9
10. If b/3 = 25, what is the value of b?
The inverse of ÷ 3 is × 3. So multiply both sides by 3
To check, put the value of b = 75 back into the original equation
75 ÷ 3 = 25
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