Q80. - Algebra 2

Question

Evaluate each expression if $a=-5,b=0.25,c=\frac{1}{2},$ and  $d=4$.

80. $a+2b-c$

Step-by-Step Solution

Answer

Expression $a+2b-c$ results into -5

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 -5  for a, 0.25 for b and $\frac{1}{2}$ for c into given expression

$a+2b-c=\left(-5\right)+2\left(0.25\right)-\frac{1}{2}$

Step 3 - Simplify - 5 + 2 0 . 25 - 1 2

Now, to simplify firstly perform multiplication then addition/subtraction from left to right   to get

$\begin{array}{c}\left(-5\right)+2\left(0.25\right)-0.5=-5+0.5-0.5\\ =-5\end{array}$

Thus,  $a+2b-c=-5$