Examine the following expression.

p squared minus 3 + 3 p minus 8 + p + p cubed

Which statements about the expression are true? Check all that apply.

The constants, - 3 and - 8, are like terms.

The terms 3 p and p are like terms.

The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.

The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.

The expression contains six terms.

The terms p squared and p cubed are like terms.

Like terms have the same variables raised to the same powers.

The expression contains seven terms.

Question

Mathematics

Maestro

31 December, 14:55

Examine the following expression.

p squared minus 3 + 3 p minus 8 + p + p cubed

Which statements about the expression are true? Check all that apply.

The constants, - 3 and - 8, are like terms.

The terms 3 p and p are like terms.

The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.

The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.

The expression contains six terms.

The terms p squared and p cubed are like terms.

Like terms have the same variables raised to the same powers.

The expression contains seven terms.

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Answers (1)

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Viviana Ingram · Answer 1

True expressions:

The constants, - 3 and - 8, are like terms. The terms 3 p and p are like terms. The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed. The expression contains six terms. Like terms have the same variables raised to the same powers.

Step-by-step explanation:

The expression is:

p² - 3 + 3p - 8 + p + p³

False expressions:

The terms p squared, 3 p, p, and p cubed have variables, so they are like terms. (They don't have the same exponents) The terms p squared and p cubed are like terms. (They don't have the same exponents) The expression contains seven terms. (It contains 6 terms)