Translate the sentence into an equation.Twice the difference of a number and 7 is equal to 5 . Use the variable w for the unknown number.

Question

Translate the sentence into an equation.

Twice the difference of a number and 7 is equal to 5 .

Use the variable w for the unknown number.

Answer 1

Twice the difference of a number and 7 is equal to 5 . Use the variable w for the unknown number.

Let's read well what is being asked.

1) The number that is being ask is called w.

2) The data given is that there is a difference between w and 7, it means (w-7)

3) There is also a condition for that difference: is twice or double, 2(w-7)

4) There is a result because it says: equal to 5, then we have

2(w-7)=5 Then we solve for w.

2w -14=5

2w=5+14

2w=19

w=19/2

w=9.5

Answer 2

The unknown number is w.

The difference of the unknown number and 7 is w-7

Twice the difference of unknown number and 7 is 2(w-7) and it is equal to 5. So the equation becomes:

2(w-7)=5.

=> 2w-14=5

=> 2w=5+14

=> 2w=19

=> w=19/4

=> w=9.5

Therefore, the unknown number w=9.5

Substitute w=9.5 in the above equation, 2(9.5-7) = 2(2.5) = 5. Hence solved!

Answer 3

2 * ( w - 7) = 5

Twice: = 2 *

The difference of a number and 7: ( w - 7 )

is equal to 5: = 5