Q1. - Algebra 2

Question

Describe how will you evaluate the expression $a+b\left[\left(c+d\right)÷e\right]$ given values for $a,b,c,d,$ and  $e$

Step-by-Step Solution

Answer

Follow the following steps:

• To simplify parentheses add $c$ with  $d$
• Divide resultant with $e$
• Then multiply it by $b$
• Finally add $a$ to get resultant value

Step 1 - Follow order for simplification

Firstly, evaluate expression inside parentheses, brackets, braces and fraction

Then simplify powers

Then do multiplication and/or division from left to right

Then do add and/or subtract from left to right

Step 2 - Simplify bracket

$\left[\left(c+d\right)÷e\right]$

Since, parentheses is inside bracket so first simplify it by adding $c\text{ and }d$  then divide resultant by $e$

Step 3 -Multiply resultant of bracket with b then add a

$a+b\left[\left(c+d\right)÷e\right]=a+\underset{}{\underbrace{b\times \left[\left(c+d\right)÷e\right]}}$

Thus, given expression will be evaluated by following steps

• To simplify parentheses add $c$ with $d$
• Divide resultant with  $e$
• Then multiply it by  $b$
• Finally add $a$ to get resultant value