Distributive Property with Combining 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 number by a sum by distributing the multiplication to each addend.

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Front

What does it mean to combine like terms?

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: 9x + 5(x + 3)

Back

14x + 15

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

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

Back

43f - 56

Front

What is the first step in using the Distributive Property?

Back

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

Front

Simplify: 12(4x + 5) + 10x

Back

58x + 60

Front

What is the result of combining 2x and 3x?

Back

5x

Front

If you have the expression 4a + 2b + 3a, what is the simplified form?

Back

7a + 2b