Question

Evaluate the expression when $r=4\text{\hspace{0.17em}and\hspace{0.17em}}s=6$.

$3.5s+r$

Short answer

The value of the expression is25.

Step-by-step solution

. Order of operations

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.

. Multiply from left to right

To evaluate the expression$3.5s+r$ , substitute 4 for r and 6 for s in the expression and then simplify further using the order of operations as shown below,

$\begin{array}{c}3.5s+r=3.5\left(6\right)+4\\ =3.5\cdot 6+4\\ =21+4\end{array}$

. Add the numbers

Now to simplify further, add the numbers to get

$\begin{array}{c}3.5s+r=21+4\\ =25\end{array}$

Thus, the value of the expression is 25.