Question

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

$\left|4a+7\right|$

Short answer

The absolute value of expression is$\mathbf{13}$.

Step-by-step solution

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

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

$\left|4a+7\right|=\left|4\times -5+7\right|=\left|-13\right|$

Step3- Find the absolute value of expression inside the bracket

The absolute value of $\left|-13\right|=13$.