If x = -2 and y = 3, what is the value of the algebraic expression 3x^2 - y^2 + 4x? — ACT

If $x = -2$ and $y = 3$ , what is the value of the algebraic expression $3x^2 - y^2 + 4x$ ?

-5

Substituting

x = -2

and

y = 3

gives

3(-2)^2 - (3)^2 + 4(-2)

. Squaring

-2

yields

4

, so the first term becomes

3(4) = 12

. Squaring

3

yields

9

, so the second term becomes

-9

. Multiplying

4

-2

yields

-8

. Summing these values gives

12 - 9 - 8 = -5

Substitute the given values

x = -2

and

y = 3

into the expression

3x^2 - y^2 + 4x

3(-2)^2 - (3)^2 + 4(-2)

Replace each variable with its respective numeric value.

Evaluate the exponential terms according to the order of operations (PEMDAS).

3(4) - 9 + 4(-2)

Squaring a negative number yields a positive result:

(-2)^2 = 4

, and

(3)^2 = 9

Perform multiplication operations.

12 - 9 - 8

3 \cdot 4 = 12

and

4 \cdot (-2) = -8

Add and subtract from left to right.

-5

12 - 9 = 3

, and

3 - 8 = -5

Evaluating Algebraic Expressions with Signed Numbers

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