Q73. - Algebra 1

Question

Evaluate the following expression:

$\mathbf{11}\left(5\right)\mathbf{-}\mathbf{8}\left(5\right)$

Step-by-Step Solution

Answer

The value of the expression $11\left(5\right)-8\left(5\right)$ is 15.

Step 1. Given information.

The expression is $11\left(5\right)-8\left(5\right)$.

Step 2. Write the Distributive property.

The distributive law of multiplication over addition or subtraction is given in below:

$ba\pm ca=\left(b\pm c\right)a$

Here  and  are real numbers.

Step 3. Rewrite the expression.

The expression $11\left(5\right)-8\left(5\right)$ can be written using the distributive property as in below:

$11\left(5\right)-8\left(5\right)=\left(11-8\right)5$

Step 4. Evaluate the expression.

The value of the expression $11\left(5\right)-8\left(5\right)$ is:

$\begin{array}{l}11\left(5\right)-8\left(5\right)=\left(11-8\right)5\\ =\left(3\right)5\\ =15\end{array}$