Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the process of factoring expressions by finding the greatest common factor (GCF) and dividing each term by it. The tutorial includes multiple examples, demonstrating how to factor expressions, identify prime expressions, and solve application problems. It also explains how to simplify expressions by combining like terms before factoring. The video concludes with a comprehensive review of the steps involved in factoring and checking the work by redistributing.

What is the first step in factoring an expression?

• Distribute the terms

• Combine like terms

• Simplify the expression

• Find the greatest common factor (GCF)

What is the GCF of 7 and 7?

• 0

• 14

• 7

• 1

If the GCF of 4 and 20 is 4, what is the factored form of 4K + 20?

• 4(K + 2)

• 4(K + 5)

• 4(K + 4)

• 4(K + 6)

What do you write if there is no GCF for the terms in an expression?

• None

• Undefined

• Prime

• Zero

In the application problem, why is Jane's answer more correct than Ryan's?

• She made fewer mistakes

• She used the greatest common factor

• She simplified the expression

• She used a different method

What is the GCF of 3 and 21?

• 3

• 21

• 1

• 7

What is the factored form of 10M - 8?

• 2(10M - 8)

• 2(10M - 4)

• 2(5M - 8)

• 2(5M - 4)

What is the GCF of 18 and 10?

• 10

• 5

• 2

• 1

What is the factored form of 6M - 24?

• 6(M - 6)

• 6(M - 4)

• 6(M - 8)

• 6(M - 24)

What is the GCF of 14 and 6?

• 1

• 14

• 2

• 7