Q40. - Algebra 2

Question

Evaluate each expression if $w=6, x=0.4, y=\frac{1}{2},$ and $z=-3$

$w\left(8-y\right)$

Step-by-Step Solution

Answer

Expression $w\left(8-y\right)$ results into 45

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 - Substitute given values

Substitute 6 for $w$ and $\frac{1}{2}$ for $y$ into given expression

 $w\left(8-y\right)=6\left(8-\frac{1}{2}\right)$

Step 3 - Simplify 6 8 - 1 2

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then multiply resultant numbers

$\begin{array}{c}6\left(8-\frac{1}{2}\right)=6\left(\frac{16}{2}-\frac{1}{2}\right)\\ =6\left(\frac{16-1}{2}\right)\\ =6\left(\frac{15}{2}\right)\\ =\frac{90}{2}\\ =45\end{array}$

Thus,  value of $w\left(8-y\right)$ is 45