Q43. - Algebra 2

Question

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

43. $5x+2z$

Step-by-Step Solution

Answer

Expression $5x+2z$ results into $-4$

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 $x$, and $-3$ for $z$ into given expression

$5x+2z=5\left(0.4\right)+2\left(-3\right)$

Step 3 - Simplify 5 0 . 4 + 2 - 3

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

$\begin{array}{c}5\left(0.4\right)+2\left(-3\right)=2+\left(-6\right)\\ =-4\end{array}$

Thus, value of $5x+2z$ is $-4$