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

Simplify: 3 + 5x + 8 - 2x

Back

11 + 3x

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

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

Back

2a + 2b + 4

Front

Simplify: 0.4(10x + 20)

Back

4x + 8

Front

Which of the following is equivalent to 8(5f - 7) + 3f?

Back

43f - 56

Front

Simplify: -9(2g - 3)

Back

-18g + 27

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you apply the Distributive Property to the expression 3(2 + 4)?

Back

3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.