Q25. - Algebra 1

Question

Evaluate each expression if $a=4, b=3$ and $c=9$.

$5b^2÷c$

Step-by-Step Solution

Answer

The value of the given expression is $5$.

Step 1. Method of applying order of operations.

1. Evaluate expressions inside grouping symbols.
2. Evaluate all powers.
3. Multiply and/or divide in order from left to right.
4. Add or subtract in order from left to right.

Step 2. Putting the values of given variables in the expression.

$5b^2÷c=5·3^2÷9 \left[\mathrm{since} b=3, c=9\right]$

Step 3. Simplifying the expression.

$$\begin{gathered} 5·3^2÷9=5·9÷9 \left[\mathrm{Evaluating} \mathrm{Power}\right] \\ =45÷9 \left[\mathrm{Performing} \mathrm{multiplication}\right] \\ =5 \left[\mathrm{Performing} \mathrm{division}\right] \end{gathered}$$