Distributive Property/Combine Like Terms

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify: 8(5f - 7) + 3f

Back

43f - 56

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

2a + 2b + 4

Front

What is a like term?

Back

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

Front

Simplify: -9(2g - 3)

Back

-18g + 27

Front

What is the result of applying the Distributive Property to 3x(9 + 2y - 3z)?

Back

27x + 6xy - 9xz

Front

Simplify: 8y + 5 - 2y

Back

6y + 5

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.

Front

If you have the expression 4(x + 2) + 3x, how do you simplify it?

Back

Distribute: 4x + 8 + 3x = 7x + 8.