Q4. - Algebra 2

Question

Choose the term from the list above that best matches each example.

$\mathbf{35}\mathbf{x}\mathbf{+}\mathbf{56}\mathbf{=}\mathbf{7}\left(\mathbf{5}\mathbf{x}\mathbf{+}\mathbf{8}\right)$

Step-by-Step Solution

Answer

Distributive property

Step 1 – Distributive property.

For any real numbers, $p,q$ and r, $p\left(q+r\right)=pq+pr$.

Step 2 – Description of step.

Apply the distributive property to the right-hand side of the given example.

 $\begin{array}{c}7\left(5x+8\right)=7\cdot 5x+7\cdot 8\\ =35x+56\end{array}$

Which is equal to the left-hand side.

Step 3 – Description of step.

By observing the step 2 and the list it can be concluded that the term ‘distributive property’ best matches the given example.