Q1. - Algebra 2

Question

OPEN ENDED Write two rational expressions that are equivalent.

Step-by-Step Solution

Answer

$\frac{2x+1}{x-3}$ and $\frac{4x+2}{2x-6}$  are two rational expressions that are equivalent.

Step 1. Given

Rational expression.

Step 2. To determine

Write two rational expressions that are equivalent.

Step 3. Calculation

If we multiply the numerator and denominator of a rational expression by the same number then we will get an equivalent rational expression.

For example:

$\frac{2x+1}{x-3}=\frac{2\left(2x+1\right)}{2\left(x-3\right)}=\frac{4x+2}{2x-6}$

It means $\frac{2x+1}{x-3}$ and $\frac{4x+2}{2x-6}$  are two rational expressions that are equivalent.