Question

What is the simplified form of the quantity of x plus 3, all over 4 + the quantity of x plus 2, all over 4 ? (2 points) the quantity of 2x plus 5, all over 4 the quantity of x squared plus 5x plus 6, all over 4 the quantity of x squared plus 5x plus 6, all over 16 the quantity of x plus 3, all over the quantity x plus 2

Answer 1

ANSWER

$\frac{2x + 5}{4}$

EXPLANATION

We want to simplify

$\frac{x + 3}{4} + \frac{x + 2}{4}$

The fractions have the same denominator so we write one denominator and add the numerators to obtain,

$\frac{x + 3 + x + 2}{4}$

Regroup in the denominator to get,

$\frac{x + x + 3 + 2}{4}$

This simplifies to;

$\frac{2x + 5}{4}$