Distributing and Factoring

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

Factor the expression: 16 + 24x

Back

8(2 + 3x)

Front

How do you factor an expression using the GCF?

Back

1. Find the GCF of the coefficients. 2. Divide each term by the GCF. 3. Write the expression as the GCF multiplied by the simplified expression.

Front

Factor the expression: 36x - 28

Back

4(9x - 7)

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or work with.

Front

Simplify the expression: 8(2s - 1)

Back

16s - 8

Front

Back

2x - 3

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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.