Exploring Rational Expressions in Algebra I

The video tutorial covers the concepts of greatest common factor (GCF) and least common multiple (LCM) in algebra. It explains how to find the GCF by listing factors and identifying common ones, using examples with monomials. The tutorial also demonstrates finding the LCM by listing multiples and identifying the smallest common multiple, again using monomial examples. The video emphasizes understanding the difference between factors and multiples and provides step-by-step guidance for solving related problems.

What is the greatest common factor?

• The smallest number that divides two numbers

• The smallest number that two numbers can multiply to

• The largest number that two numbers can multiply to

• The largest number that divides two numbers

How can the number 21 be factored?

• 1 x 21

• 2 x 10.5

• 6 x 3.5

• 3 x 7

Tags

CCSS.4.OA.B.4

Which of the following is a factor of 77?

• 19

• 15

• 14

• 11

Tags

CCSS.4.OA.B.4

What is the GCF of 21x^1y^4z^2 and 77x^3y^2?

• 7x^1y^2

• 21x^3y^4

• 77x^1y^2

• x^1y^2z^2

What is the GCF of x^3y^2 and x^1y^4?

• x^1y^2

• x^3y^4

• x^2y^3

• x^1y^1

What does LCM stand for?

• Least Common Multiple

• Least Common Monomial

• Largest Common Multiple

• Largest Common Monomial

What is the LCM of 10 and 25?

• 50

• 100

• 5

• 250

What is the LCM of 18 and 30?

• 90

• 180

• 540

• 270

For the variables V and V^3, what is the LCM?

• V^4

• V^3

• V^2

• V

If you have W^4 and W^3, what do you multiply W^3 by to find the LCM?

• W^3

• W^2

• W

• W^4

Tags

CCSS.HSA.APR.A.1