Question

Identify the terms and the like terms in this expression. 7 + a – 2 + 3a + b2 Which statements are true? Check all that apply.

- The expression contains seven terms.

- The terms in the expression are 7, a, 2, 3a, b2.

- Constants are like terms.

- 2 and b2 are like terms because they both contain the number 2.

- a and 3a are like terms.

- a, 3a, and b2 contain variables, so they are like terms

Answer 1

Explanation:

Terms can be a single number or variable, or a coefficient.

The expression contains seven terms, incorrect. Doesn't include coefficients.

The terms in the expression are
`7`,
`a`,
`2`,
`3a`,
`b^2`. Correct. Includes coefficients.

Constants are like terms, correct. (7, 2)

2 and
`b^2` are like terms because they both contain the number 2, incorrect.
`b^2` can only combine with a coefficient with the exact same terms. (
`b^2`)

a and 3a are like terms, correct. Both are like terms since both have the variable of a.

a, 3a, and
`b^2` contain variables, so they are like terms. Incorrect. As said before,
`b^2` can't combine with 3a and a. (4a)