Distributive Property and 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 the expression: 6(x - 3 + 5y)

Back

6x - 18 + 30y

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: 9x + 5(x + 3)

Back

14x + 15

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: 7j + 3k + 10j - k

Back

17j + 2k

Front

What is the result of applying the Distributive Property to 3(2c - 5)?

Back

6c - 15

Front

What is the purpose of the Distributive Property in algebra?

Back

The Distributive Property helps simplify expressions and solve equations by allowing you to eliminate parentheses.