Question

Determine the truth value of each statement based on the expression.

6x^2 - 2x - 14y + 3x

1. Before simplifying, there are 4 terms in the expression.

2. 6x^2 and 3x are like terms.

3. The coefficient on y is 14.

4. Simplified, the expression is 6x^2 + 5x - 14y.

5. The commutative property allows the expression to be written as 6x^2 - 14y + 3x - 2x.

Answer 1

1. True — the terms are 6x^2, -2x, -14y, and 3x (four terms).

2. False — 6x^2 and 3x are not like terms (x^2 vs x).

3. False — the coefficient of y is -14, not 14.

4. False — combining -2x + 3x gives +x, so the simplified form is 6x^2 + x - 14y.

5. True — by the commutative property you can reorder terms: 6x^2 - 14y + 3x - 2x is equivalent.