Factoring the GCF in Algebraic Expressions

What does GCF stand for?

• Greatest Common Formula

• Greatest Common Function

• Greatest Common Fraction

• Greatest Common Factor

What is the significance of the GCF in factoring?

• It is the average value of two numbers.

• It is the smallest value that any two numbers have in common.

• It is the sum of two numbers.

• It is the largest value that any two numbers have in common.

What are the factor pairs of 6?

• 1 and 2, 3 and 6

• 2 and 3, 3 and 5

• 1 and 6, 3 and 5

• 1 and 6, 2 and 3

What are the factor pairs of 15?

• 1 and 15, 2 and 7

• 1 and 15, 3 and 5

• 2 and 7, 3 and 5

• 1 and 3, 5 and 15

What is the GCF of 6 and 15?

• 1

• 5

• 2

• 3

What is the first step in setting up the area model for factoring?

• Identifying the second factor

• Factoring out the GCF

• Setting up the area box

• Distributing the factors

What is the second factor in the expression 6x + 15 after factoring out the GCF?

• 2x + 3

• 3x + 5

• 3x + 2

• 2x + 5

How do you verify the factored expression using the distributive property?

• By dividing the factors

• By multiplying the factors

• By adding the factors

• By subtracting the factors

What is the result of distributing 3 times 2x?

• 3x

• 6x

• 9x

• 12x

What is the result of distributing 3 times 5?

• 18

• 15

• 12

• 10