Q56. - Algebra 1

Question

Solve each expression if  $x=-2,y=6,\text{and }z=4$. (Lesson 2-5)

$12-\left|z+9\right|$

Step-by-Step Solution

Answer

The value of the expression is $-1$

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:  $12-|z+9|$

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

$\begin{array}{l}=12-\left|z+9\right|\\ =12-\left|4+9\right|\\ =12-\left|13\right|\\ =12-13\\ =-1\end{array}$ 

Thus the value of the expression is  $-1$.