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

Answer:

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

Step-by-step 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: $2(2b + m)$