factoring and the distributive Property

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: 5(3 + 4)

Back

5(3 + 4) = 5*3 + 5*4 = 15 + 20 = 35

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 + 8

Back

4(3x + 2)

Front

What is the first step in using the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify: -3(2x - 5)

Back

-3(2x - 5) = -6x + 15

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

Factor the expression: 15xy - 10x

Back

5x(3y - 2)

Front

What is the result of applying the distributive property to 7(2a + 3b)?

Back

7(2a + 3b) = 14a + 21b

Front

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

Back

4(x + 2) - 3(x - 1) = 4x + 8 - 3x + 3 = x + 11