Expanding 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

Expand the expression: 3(2x + 4)

Back

6x + 12

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 the expression: 15x + 10

Back

5(3x + 2)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.

Front

Expand the expression: 4(x + 5)

Back

4x + 20

Front

What is the result of factoring out the greatest common factor (GCF)?

Back

Factoring out the GCF simplifies the expression by reducing it to its simplest form.

Front

Factor the expression: 8x^2 + 4x

Back

4x(2x + 1)

Front

Expand the expression: -2(3x - 4)

Back

-6x + 8

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.