Q57. - Algebra 1

Question

Solve each expression if  $x=-2, y=6, \text{and }z=4$

$\left|y+x\right|-z+4$

Step-by-Step Solution

Answer

The value of the expression is $4$

Step-1. Use the definition of absolute value function.

The absolute value or modulus of a real number x, denoted |x| is the non-negative value of x without regard to its sign.

Absolute value refers to a point's distance from zero or origin on the number line, regardless of the direction. 

Step-2. Plug values and Simplify.

We are given the expressions:  $|y+x|-z+4$

Plugging the values $x=-2,y=6,\text{ and }z=4$ and simplifying as shown we get:

$\begin{array}{l}=\left|y+x\right|-z+4\\ =\left|6+\left(-2\right)\right|-4+4\\ =\left|6-2\right|\\ =\left|4\right|\\ =4\end{array}$ 

Thus the value of the expression is  $4$.