Q83. - Algebra 2

Question

Evaluate each expression if $a=2, b=-\frac{3}{4},$ and $c=1.8$.

$8b-5$

Step-by-Step Solution

Answer

Expression $8b-5$ results into $-11$

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 - Substitute given values

Substitute  $-\frac{3}{4}$ for b into given expression

$8b-5=8\left(-\frac{3}{4}\right)-5$

Step 3 - Simplify 8 - 3 4 - 5

To evaluate, firstly perform multiplication and finally subtraction from left to right   to get

$\begin{array}{c}8\left(-\frac{3}{4}\right)-5=-\left(\frac{8\times 3}{4}\right)-5\\ =-6-5\\ =-11\end{array}$

Thus,  $8b-5=-11$