Question

Identify the parts of the Expression: 9x^3+7xy+3y^2-8 Variables: Terms: Coefficients: Constants:

A. Variables: \(x, y\); Terms: \(9x^3, 7xy, 3y^2, -8\); Coefficients: \(9, 7, 3, -8\); Constants: \(-8\)
B. Variables: \(x, y\); Terms: \(9x^3, 7xy, 3y^2, -8\); Coefficients: \(9, 7, 3, -8\); Constants: \(-8\)
C. Variables: \(a, b\); Terms: \(9a^3, 7ab, 3b^2, -8\); Coefficients: \(9, 7, 3, -8\); Constants: \(-8\)
D. Variables: \(x, y\); Terms: \(9x^3, 7xy, 3y^2, -8\); Coefficients: \(3, 5, 7, -8\); Constants: \(-8\)

Answer 1

The expression 9x^3+7xy+3y^2-8 has variables x and y, terms 9x^3, 7xy, 3y^2, and -8, coefficients 9, 7, and 3, and a constant -8. The correct answer is Option A or B, as they are identical and accurately list all parts of the expression.

Step-by-step explanation:

When identifying the parts of the expression 9x^3+7xy+3y^2-8, here is the correct breakdown:

• Variables: These are the symbols that represent unknown values. In the given expression, the variables are x and y.
• Terms: Terms are the parts of the expression that are separated by plus or minus signs. The terms of the expression include 9x^3, 7xy, 3y^2, and -8.
• Coefficients: Coefficients are the numerical factors of the terms with variables. The coefficients in this expression are 9, 7, and 3.
• Constants: A constant is a term without a variable, which in this expression is -8.

Therefore, the correct option that identifies all parts accurately is:

Variables: x, y; Terms: 9x^3, 7xy, 3y^2, -8; Coefficients: 9, 7, 3; Constants: -8, which corresponds to Option A, and coincidentally, Option B as they are identical.