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 each term inside a parenthesis.

Front

Expand the expression: 3(x + 4)

Back

3x + 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: 12x + 36

Back

12(x + 3)

Front

Expand the expression: 5(2x + 3)

Back

10x + 15

Front

What is a negative factor?

Back

A negative factor is a number that, when multiplied by another number, results in a negative product.

Front

Factor completely: -4x - 16

Back

-4(x + 4)

Front

Expand the expression: -2(3y - 5)

Back

-6y + 10

Front

What is the result of expanding 7(2a + 1)?

Back

14a + 7

Front

Factor the expression: 15m + 30

Back

15(m + 2)