Q9. - Algebra 1

Question

Evaluate the following expression. Name the property used in each step:

$\mathbf{3}\left(22-3\cdot 7\right)$

Step-by-Step Solution

Answer

The value of the expression is: $\mathbf{3}\left(22-3\cdot 7\right)\mathbf{=}\mathbf{3}$.

Step 1 – Given information.

Given expression is:

$3\left(22-3\cdot 7\right)$

Step 2 – Write the concept.

The substitution property for multiplication, addition and subtraction is:

$\begin{array}{c}a\cdot b=c\\ a\pm b=c\end{array}$

The multiplicative identity is:

$a\times 1=a$

Step 3 – Evaluate the expression.

The expression $3\left(22-3\cdot 7\right)$ can be solved in below:

$\begin{array}{c}3\left(22-3\cdot 7\right)=3\left(22-21\right)\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =3\left(1\right)\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =3\left[\text{Property of Mulplicative\hspace{0.17em}\hspace{0.17em}Identity}\right]\end{array}$