Q26. - Algebra 2

Question

Evaluate each expression if a=-5, b=6   and c=2.8

$9-\left|-2b+8\right|$

Step-by-Step Solution

Answer

The absolute value of expression is $\mathbf{5}$. 

Step1- Order of evaluation

To evaluate any expression involving one operation, follow the below order of operation

• First replace the algebraic expression inside the grouping symbols like matrix brackets ( $\left|\right|$) with numeric expression
• Perform the multiplication inside the bracket

 

• Perform the addition  inside the bracket

 

• Evaluate the absolute value

 

Perform the subtraction from left to right 

Step2- Simplify the expression inside grouping symbol

To evaluate the value of given expression , simply the  expression inside the bracket and then find the absolute value of expression as shown below

$\begin{array}{c}9-|-2b+8|=9-|-2\times 6+8|\\ =9-|-12+8|\\ =9-|-4|\end{array}$

Step3- Find the absolute value of expression inside the bracket and subtract

The absolute value of  $\left|-4\right|=4$

The solution is 9-4=5.