Exploring Adding and Subtracting Rational Expressions

The video tutorial covers tree diagrams and the counting principle. It begins with an introduction to tree diagrams, explaining their usefulness in organizing and listing possible outcomes. Several examples are provided, including scenarios with spinners, days of the week, dice, and smoothie choices. The tutorial then introduces the counting principle, demonstrating how it simplifies calculating outcomes for multiple events. The video concludes with examples illustrating the counting principle's application, highlighting its efficiency over tree diagrams for complex scenarios.

What is the primary purpose of a tree diagram?

• To organize and list all possible outcomes

• To solve algebraic equations

• To measure angles

• To calculate probabilities

If a spinner with three outcomes is spun twice, how many total outcomes are there?

• 12

• 9

• 6

• 15

How many outcomes are there when a day of the week is chosen and a coin is tossed?

• 7

• 10

• 12

• 14

When rolling a die and picking a letter from the word 'PARK', how many total outcomes are there?

• 24

• 20

• 18

• 28

How many outcomes are there when choosing a smoothie size and flavor from two sizes and five flavors?

• 5

• 7

• 10

• 12

What does the counting principle state?

• The sum of outcomes of two activities

• The difference of outcomes of two activities

• The quotient of outcomes of two activities

• The product of outcomes of two activities

If a standard die is rolled twice, how many total outcomes are there?

• 24

• 12

• 48

• 36

How many ways can someone order cotton candy if it comes in three sizes and four flavors?

• 12

• 7

• 10

• 15

How many outcomes are there when a letter of the alphabet and a digit from 0 to 9 are chosen?

• 100

• 200

• 260

• 300

If Kayla has 4 escalators and 8 exits to choose from, how many different ways can she leave the mall?

• 16

• 40

• 32

• 24