Q2. - Algebra 1

Question

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

$\mathbf{6}\mathbf{+}\mathbf{4}\left(19-15\right)$

Step-by-Step Solution

Answer

The value of the expression is: $\mathbf{6}\mathbf{+}\mathbf{4}\left(19-15\right)\mathbf{=}\mathbf{30}$.

Step 1 – Given information.

Given expression is:

$6+4\left(19-15\right)$

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 BODMAS rule that is according the following order to solve the expression: 

$\mathrm{Brackets}\to \mathrm{Division}\to \mathrm{Multiplication}\to \mathrm{Addition}\to \mathrm{Subtraction}$

Step 3 – Evaluate the expression.

The expression $6+4\left(19-15\right)$ can be solved in below:

$\begin{array}{c}6+4\left(19-15\right)=6+4\left(4\right)\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =6+24\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =30\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\end{array}$