If x = -3, y = 4, and z = -2, what is the value of the expression \frac{2x^2y}{z} + 5x? — Armed Services Vocational Aptitude Battery (ASVAB)

If $x = -3$ , $y = 4$ , and $z = -2$ , what is the value of the expression $\frac{2x^2y}{z} + 5x$ ?

The evaluated result of the algebraic expression is -51.

The correct value is determined by carefully substituting the negative variables, properly applying the exponent to get a positive

9

, calculating the fraction

\frac{72}{-2}

to get

-36

, and adding the

-15

from the second term to reach

-51

Substitute the given numerical values for each variable in the expression.

\frac{2(-3)^2(4)}{-2} + 5(-3)

Variable substitution replaces letters with their specific numerical values to prepare for arithmetic calculation.

Evaluate the exponent according to the order of operations (PEMDAS).

(-3)^2 = 9

Exponents must be calculated before multiplication or division.

Perform the multiplication in the numerator of the fraction and in the second term.

Numerator:

2(9)(4) = 72

. Second term:

5(-3) = -15

. The expression is now

\frac{72}{-2} + (-15)

Multiplication is the next step in the order of operations.

Perform the division, then combine the remaining terms.

\frac{72}{-2} = -36

. Finally,

-36 + (-15) = -51

Division occurs before addition, completing the evaluation.

Evaluating Algebraic Expressions

Estimated Time:1m 0s

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