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 single term by two or more terms inside a set of parentheses.

Front

Simplify: 5p + 7y + 2t - 3p + 4y

Back

2p + 11y + 2t

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

Simplify the expression: 6(x - 3 + 5y)

Back

6x - 18 + 30y

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.

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

Back

2a + 2b + 4

Front

What is the result of combining 1x + 3x + 6x + 1x?

Back

11x

Front

Explain the importance of the Distributive Property in algebra.

Back

The Distributive Property is important because it allows for the simplification of expressions and is essential for solving equations.