Factor Expressions

Front

What is a factor expression?

Back

A factor expression is a mathematical expression that can be factored into simpler expressions, often involving variables and coefficients.

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

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you combine like terms?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the result of (5x - 2y) - (-6x + 5y)?

Back

11x - 7y.

Front

What does it mean to factor out a coefficient?

Back

Factoring out a coefficient means to take the common factor from terms in an expression, simplifying it.

Front

What is the result of -(-x + 2) - 4x?

Back

-3x - 2.

Front

What is the simplified form of -4(4x - 5)?

Back

-16x + 20.

Front

What is the result of simplifying 2x + 1 + 7x?

Back

9x + 1.

Front

What is a variable in an expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions.