Combining Like Terms and Distributive Property

Front

What does it mean to combine like terms in an expression?

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 is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across terms inside parentheses.

Front

Simplify the expression: -k + 6 + k - 3

Back

3

Front

Simplify the expression: -9(x - 6)

Back

-9x + 54

Front

Simplify the expression: 9x + 1 - 1

Back

9x

Front

Simplify the expression: -6n - 2n

Back

-8n

Front

Simplify the expression: 10(v + 5)

Back

10v + 50

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 2x and 3x.

Front

What is an example of using the distributive property?

Back

An example is: 3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

Front

How do you identify like terms in an expression?

Back

You identify like terms by looking for terms that have the same variable and exponent.