Combine Like Terms/ Distribute

Front

What does it mean to combine like terms in algebra?

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 multiply a term by each term inside the parentheses.

Front

Simplify: 5a + 2b - 7b + 4a

Back

9a - 5b

Front

Simplify: 5(2x + 3)

Back

10x + 15

Front

Simplify: -3(y + 7)

Back

-3y - 21

Front

Simplify: -9n + 12n + 7

Back

3n + 7

Front

Simplify: -4(-2a + 5)

Back

8a - 20

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

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.