Calculate the intermediate and final values for the given algebraic expression.

Answer:To evaluate the expression

5x - y^2

for

x = 3

and

y = -4

, we first substitute the given numbers. The term

5x

evaluates to 【15】. The term

y^2

evaluates to 【16】. Subtracting the second result from the first gives a final answer of 【-1】.

The intermediate values are 15 and 16, resulting in a final answer of -1.

Substituting the given values into the expression

5x - y^2

yields

5(3) - (-4)^2

. Following the order of operations, first evaluate the exponent:

(-4)^2 = 16

. Next, perform the multiplication:

5(3) = 15

. Finally, perform the subtraction:

15 - 16 = -1

Substitute x = 3 into the first term, 5x.

5(3) = 15

Variable substitution replaces the variable with its assigned numerical value.

Substitute y = -4 into the second term, y^2.

(-4)^2 = 16

Squaring a negative number results in a positive value, since negative multiplied by negative is positive.

Subtract the evaluated second term from the evaluated first term.

15 - 16 = -1

The original expression requires subtracting the y^2 term from the 5x term.

Evaluating Algebraic Expressions

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