Combining Like Terms & Distributive Property Flashcard

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: 3x(4 + 2)

Back

18x

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: -n + 4(n + 1)

Back

3n + 4

Front

What is the result of applying the Distributive Property to 2(7 - 2x)?

Back

-4x + 14

Front

Simplify: 5(8x - 2)

Back

40x - 10

Front

What is the value of 3(–7 – 8n)?

Back

-21 - 24n

Front

If you have 2x + 3x, what is the simplified form?

Back

5x

Front

What is the first step in simplifying the expression 4(2x + 3)?

Back

Apply the Distributive Property: 4 * 2x + 4 * 3.

Front

What is a like term?

Back

A like term is a term that has the same variable raised to the same power, such as 2x and 5x.