Q29. - Algebra 1

Question

Simplify each expression. If not possible, write simplified.

$\mathbf{13}\mathit{r}\mathbf{+}\mathbf{5}\mathit{r}$

Step-by-Step Solution

Answer

The simplified expression of $13r+5r$ is 18r.

Step 1. Identify the like terms.

Like terms are the terms having the same variables with the same power.

The given expression has r as like terms.

Step 2. Combine the like terms.

Use the distributive property, $\left(a\pm b\right)c=a\times c\pm b\times c$.

So, the expression can be rewritten as follows:

$13r+5r=\left(13+5\right)r$

Step 3. Simplify the expression.

A simplified expression does not contain any like terms or parentheses.

$\begin{array}{l}13r+5r=\left(13+5\right)r \left[Add\right]\\ =18r\end{array}$