Question

Tatiana is buying b number of books and m number of magazines at the book fair. The books cost $4 each and the magazines cost $2 each. Tatiana's total purchase can be shown with this expression: 4b+2m. Which

expression is equivalent to 4b+2m

Answer 1

`4b + 2m = 2(2b + m)`

Explanation:

Given

`4b + 2m`

Required

Write an equivalent expression

To do this, we simply write
`4b + 2m` as a product of two factors.

Express 4b as 2 * 2b

`4b + 2m = 2 * 2b + 2m`

Express 2m as 2 * m

`4b + 2m = 2 * 2b + 2 * m`

Factor 2 out of the expression:

`4b + 2m = 2 *(2b + m)`

`4b + 2m = 2(2b + m)`

Hence:

An equivalent expression is:
`2(2b + m)`