Combining Like Terms Flashcard

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3a and 5a are like terms, while 3a and 4b 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, 3a + 5a = (3 + 5)a = 8a.

Front

What is the simplified form of 4a + 9 + a?

Back

5a + 9

Front

What is the simplified form of 3 - 2a + 3a + 5a?

Back

6a + 3

Front

What is the result of 4(x + 3) - 5?

Back

4x + 7

Front

What is the simplified form of 6b + 7b - 10?

Back

13b - 10

Front

What is the simplified form of 3x + 4 + 5x + 3?

Back

8x + 7

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4a, 4 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, 5 is the constant.