Evaluate the algebraic expression for the given variable values.

Answer:If

x = -3

and

y = 4

, the value of the expression

2x^2 - 3y

is 【6】.

Substituting

x = -3

into

x^2

gives

(-3)^2 = 9

. Multiplying by

2

yields

18

. Substituting

y = 4

into

3y

gives

12

. Subtracting

12

from

18

gives the correct value of

6

Substitute the given values

x = -3

and

y = 4

into the expression

2x^2 - 3y

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

Replace each variable with its designated numeric value.

Evaluate the exponent

(-3)^2

2(9) - 3(4)

Following the order of operations (PEMDAS), exponents are evaluated before multiplication.

Perform the multiplication operations.

18 - 12

Multiply

2 \times 9 = 18

and

3 \times 4 = 12

Subtract the terms to find the final value.

6

Perform final subtraction:

18 - 12 = 6

Evaluating Algebraic Expressions with Negative Values

Estimated Time:45s

Question