Simplifying and Factoring 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: 3(2x + 1) + 2(x - 4)

Back

8x - 5

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor completely: 16 + 24x

Back

8(2 + 3x)

Front

True or False? 2x + 6 = 2(x + 3)

Back

True

Front

Factor: -8x - 10

Back

-2(4x + 5)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

Factor: 17xy - x

Back

x(17y - 1)

Front

What is the first step in simplifying an expression?

Back

The first step is to apply the distributive property if there are parentheses.

Front

Simplify: 4(3x + 2) - 2(2x + 1)

Back

10x + 6