Flashcard - Combine, Distribute, Factor

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

Apply the distributive property: 2(3x - 4y)

Back

6x - 8y

Front

Apply the distributive property: 6(x + y + 7)

Back

6x + 6y + 42

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Simplify the expression: -9n + 12n + 7

Back

3n + 7

Front

Simplify the expression: 7p - 3q + 2p - 5q

Back

9p - 8q

Front

Simplify the expression: 3x + 2y - 4x + 5y

Back

-x + 7y

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.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value, often denoted by letters such as x, y, or z.