Factoring Expressions with the GCF

Miss Felice introduces factoring algebraic expressions, explaining it as the inverse of the distributive property. She demonstrates factoring by finding the greatest common factor (GCF) of terms in expressions like 2y + 10, 6x - 9, 4 - 10z, and 4x + 6. Each example is verified using the distributive property. The video concludes with practice problems for viewers to try on their own.

What does it mean to factor an algebraic expression?

• To add the terms together

• To divide out the greatest common factor (GCF) of the terms

• To multiply the terms by a common factor

• To subtract the terms from each other

What is the GCF of the terms 2y and 10?

• 2

• 1

• 10

• 5

What is the factored form of 2y + 10?

• 2(y + 10)

• 2y + 5

• y + 5

• 2(y + 5)

What is the GCF of the terms 6x and 9?

• 6

• 1

• 3

• 9

What is the factored form of 6x - 9?

• 3(2x - 9)

• 6(x - 1.5)

• 3(2x - 3)

• 2(3x - 4.5)

What is the GCF of the terms 4 and 10z?

• 4

• 10

• 2

• 1

What is the factored form of 4 - 10z?

• 2(4 - 5z)

• 2(2 - 10z)

• 4(1 - 2.5z)

• 2(2 - 5z)

What is the GCF of the terms 4x and 6?

• 1

• 2

• 6

• 4

What is the factored form of 3x + 3?

• 3(x + 1)

• 3(x + 3)

• x + 3

• x + 1

What is the factored form of 5y - 10?

• y - 2

• 5(y - 10)

• 5(y - 2)

• 5y - 2