Q41. - Algebra 2

Question

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

41. $z\left(x+1\right)$

Step-by-Step Solution

Answer

Expression $z\left(x+1\right)$ results into $-4.2$

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 $0.4$ for $x$ and $-3$ for $z$ into given expression

 $z\left(x+1\right)=\left(-3\right)\left(0.4+1\right)$

Step 3 - Simplify - 3 0 . 4 + 1

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then simplify as shown below

$\begin{array}{c}\left(-3\right)\left(0.4+1\right)=\left(-3\right)\left(1.4\right)\\ =-4.2\end{array}$

Thus, value of $z\left(x+1\right)$$-4.2$ is