Combining 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 have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

Front

Simplify by combining like terms: 3 + 12c - 4c

Back

8c + 3

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Simplify by combining like terms: 12b + 4b^2 - 10b

Back

4b^2 + 2b

Front

Simplify by combining like terms: 3x + 2x + 3y - 7y

Back

5x - 4y

Front

Simplify by combining like terms: -4x - 10x

Back

-14x

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

What is a constant term?

Back

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

Front

Can you combine terms with different variables?

Back

No, you cannot combine terms with different variables. For example, 3x and 4y cannot be combined.