Q39. - Algebra 2

Question

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

39. $w+12÷z$

Step-by-Step Solution

Answer

Expression $w+12÷z$ results into 2

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 $-3$ for $z$ into given expression

$w+12÷z=6+12÷\left(-3\right)$ 

Step 3 - Simplify 6 + 12 ÷ - 3

Now, to simplify follow order of simplification to get

$\begin{array}{c}6+12÷\left(-3\right)=6+\left(-4\right)\\ =2\end{array}$

Thus, $w+12÷z=2$