Given the expression 7x - 2y^2, what is its numerical value when x = 5 and y = 3? — Armed Services Vocational Aptitude Battery (ASVAB)

Given the expression $7x - 2y^2$ , what is its numerical value when $x = 5$ and $y = 3$ ?

Answer: 17

The expression evaluates to 17 by successfully substituting the values into the variables and properly applying the order of operations.

Substitute the values

x = 5

and

y = 3

into the algebraic expression.

7(5) - 2(3)^2

Variables must be replaced with their numerical values before evaluating.

Calculate the exponent.

7(5) - 2(9)

According to the order of operations (PEMDAS), exponents must be evaluated before multiplication.

Perform the multiplication operations.

35 - 18

Multiplication is evaluated before subtraction.

Subtract the resulting numbers.

This final arithmetic step yields the evaluated expression.

Evaluating Algebraic Expressions

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