the difference of three times a number and twelve is eqaul to eight more than the number. write the equation that models the situation and find the number

Answer 1

In word problems like this, the hardest part is translating the words into math.

First identify the quantities involved.

Let x be “a number”

 

Next Translate the words.

Translate “three times a number” into “3x”

Translate “the difference between 3x and twelve” into ”3x-12”

Translate “is equal to eight more than x” into “ =8+x”

now string them together:

 

3x-12 = 8+x

 

This is your equation. can you solve it for x?

Answer 2

n = the number

 

The stated information translates into algebra as

 

3n - 12 = n + 8

 

Can you solve for n?