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

Simplify: 3(4x + 5)

Back

12x + 15

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: 8x + 12

Back

4(2x + 3)

Front

What is an equivalent expression?

Back

An equivalent expression is one that has the same value as another expression, even though it may look different.

Front

Expand: 5(x + 2)

Back

5x + 10

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: 15y + 25

Back

5(3y + 5)

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

Expand: 2(3x - 4)

Back

6x - 8