FLASHCARD: Simplify Expressions

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 the expression: 3/4 (12x + 16)

Back

9x + 12

Front

Use the Distributive Property to solve: -5(-2x + 4)

Back

10x - 20

Front

What is the simplified form of 5(3y + 4)?

Back

15y + 20

Front

Can 3x^3 be combined with 5x^3?

Back

True

Front

Simplify the expression: 4x^2y + 6xy - 2x^2y + 3y - 4xy

Back

2x^2y + 2xy + 3y

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing any operations.

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 the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.