Q42. - Algebra 2

Question

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

$w-3x+y$

Step-by-Step Solution

Answer

Expression $w-3x+y$ results into $5.3$

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 $0.4$ for $x$, 6 for $w$ and $\frac{1}{2}$ for $y$ into given expression 

 $w-3x+y=6-3\left(0.4\right)+\frac{1}{2}$

Step 3 - Simplify 6 - 3 0 . 4 + 1 2

To evaluate the value of the given expression, follow order of simplification

$\begin{array}{c}6-3\left(0.4\right)+\frac{1}{2}=6-1.2+\frac{1}{2}\\ =4.8+\frac{1}{2}\\ =4.8+0.5\\ =5.3\end{array}$

Thus, value of $w-3x+y$ is $5.3$