Combining Like Terms

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What are like terms?

Back

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

Front

Simplify the expression: -2x + 11 + 6x

Back

4x + 11

Front

Simplify the expression: -10x + 15 - 3x + 2

Back

-13x + 17

Front

Simplify the expression: 3x - 5x

Back

-2x

Front

Simplify the expression: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Simplify the expression: 5x + 3y + 5 + 4x + 3y + y + 8

Back

9x + 7y + 13

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 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) and the same exponent(s). For example, in 2x^2 + 3x^2 + 4x, 2x^2 and 3x^2 are like terms.