Q20. - Algebra 1

Question

Use the Distributive Property to rewrite each expression. Then evaluate.

7(2 + 1)

Step-by-Step Solution

Answer

The value of the expression $7\left(2+1\right)$ is $\mathbf{21}$.

Step 1. Use the distributive property.

The distributive law of multiplication over addition or subtraction states that, $a\left(b\pm c\right)=ab\pm ac$.

So, the values of the real number  should be as follows:

$\begin{array}{l}a=7\\ b=2\\ c=1\end{array}$

Step 2. Rewrite the expression.

Use the distributive property to expand the expression further as shown below:

$7\left(2+1\right)\text{=}\left(\text{7}\right)\text{2+}\left(\text{7}\right)\text{1}$

Step 3. Evaluate the expression.

To simplify further, multiply the numbers and solve further as shown below:

$\begin{array}{l}7\left(2+1\right)\text{=}\left(\text{7}\right)\text{2+}\left(\text{7}\right)\text{1 }\left[Multiply\right]\\ =14+7 \left[Add\right]\\ =21\end{array}$