Unit 2: Lesson 4 - Factoring out the GCF

Front

What is the distributive property in mathematics?

Back

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

Front

How do you apply the distributive property to the expression -2(6n + 3)?

Back

By applying the distributive property, -2(6n + 3) becomes -12n - 6.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the numbers in a set without leaving a remainder.

Front

How do you find the GCF of two numbers, such as 24 and 56?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common. For 24 and 56, the GCF is 8.

Front

Rewrite the expression 36x + 45 using the GCF. What is the result?

Back

The expression can be rewritten as 9(4x + 5), where 9 is the GCF.

Front

What is the GCF of the numbers 36 and 42?

Back

The GCF of 36 and 42 is 6.

Front

How can you express the sum of two numbers, such as 36 + 42, using the GCF?

Back

You can express it as 6(6 + 7), where 6 is the GCF.

Front

What is the first step in factoring out the GCF from an expression?

Back

The first step is to identify the GCF of all the terms in the expression.

Front

Why is factoring out the GCF useful in simplifying expressions?

Back

Factoring out the GCF simplifies expressions, making them easier to work with and understand.

Front

Can the GCF be a negative number?

Back

No, the GCF is always a positive integer.