distributive property and factoring

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

Fill in the blank: 2(x + 7) = 2x + __

Back

14

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 - 10

Back

2(4x - 5)

Front

What is the result of applying the distributive property to 2(1 + 10v)?

Back

2 + 20v

Front

Fill in the blank: 4(3x + __) = 12x + 16

Back

4

Front

What is a common factor?

Back

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

Front

Factor 3x + 27

Back

3(x + 9)

Front

What is the first step in factoring an expression?

Back

The first step is to identify the greatest common factor (GCF) of the terms in the expression.

Front

How do you check if your factoring is correct?

Back

You can check by multiplying the factors back together to see if you get the original expression.