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: 0.4(10x + 20)

Back

4x + 8

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

Combine like terms: n - 10 + 9n - 3

Back

10n - 13

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

Which of the following is equivalent to 8(5f - 7) + 3f?

Back

43f - 56

Front

Simplify: -2(3x + 5) + 6x

Back

-10

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 the expression: 2x + 7(x - 5) - 4

Back

9x - 39

Front

What is the result of multiplying a negative number by a positive number?

Back

The result is a negative number.