Question

Evaluate the expression when $x=4,\text{\hspace{0.17em}and}y=3$

localid="1648722643340" $7(x^2-5y)$

Short answer

The value of expression is7.

Step-by-step solution

Step-1 – 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.

Step-2 – Substitute the values

To evaluate the expression $7(x^2-5y)$, substitute 4 for x and 3 for y in the given expression, and simplify further using the order of operations as shown below,

$\begin{array}{c}7(x^2-5y)=7(4^2-5\left(3\right))\\ =7(16-5\left(3\right))\\ =7(16-15)\\ =7\left(1\right)\end{array}$

Step-3 – Multiply the numbers

To simplify further, Multiply the resulting numbers to get

$\begin{array}{c}7(x^2-5y)=7(4^2-5\left(3\right))\\ =7(16-5\left(3\right))\\ =7(16-15)\\ =7\left(1\right)\\ =7\end{array}$

So, the value of the expression is 7.