7.6 - Combine Like Terms

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in the expression 3x + 5x, you add the coefficients: 3 + 5 = 8, so it becomes 8x.

Front

Combine the like terms in the expression: 5p + 9 - 2p

Back

3p + 9

Front

Collect like terms: 4y + 8d - 2y + 3d

Back

2y + 11d

Front

What is the result of the expression 5(2x + 3)?

Back

10x + 15

Front

Which of the following is NOT a like term of the expression 4b - 5? (Options: 2b, 8, 6h, 3b)

Back

6h

Front

Combine like terms: a + 4 - 9 + 5a

Back

6a - 5

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term. For example, in the term 7x, 7 is the coefficient.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 3x + 5, the number 5 is a constant term.

Front

How do you identify like terms in an expression?

Back

To identify like terms, look for terms that have the same variable(s) raised to the same power. For example, in 2x^2 + 3x^2 + 4y, 2x^2 and 3x^2 are like terms.