Q14. - Algebra 2

Question

Evaluate each expression if $a=12,b=0.5,c=-3$ and $d=\frac{1}{3}$

$6b-5c$

Step-by-Step Solution

Answer

Expression $6b-5c$ results into $18$.

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 – Perform Substitution

To evaluate given expression, first substitute the value of $0.5$ for b and $-3$ for c in expression.

 

$6b-5c=6\left(0.5\right)-5\left(-3\right)$

Step 3 – Perform Simplification

To simplify further, multiply the terms from left to right then perform addition in the terms.

$\begin{array}{c}6\left(0.5\right)-5\left(-3\right)=3+15\\ =18\end{array}$