Question

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

80. $a+2b-c$

Short answer

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

Step-by-step solution

- 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.

- Substitute given values

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

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

- Simplify -5+20.25-12

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, $a+2b-c=-5$