Simplifying Expressions and Linear Functions

The video tutorial covers three math problems. Problem 20 involves calculating the sale price of books, where each book is $10 off the normal price, and determining the total cost for three books. Problem 21 focuses on identifying where a line crosses the x-axis based on given points. Problem 22 deals with finding an equivalent expression by rearranging and multiplying terms, demonstrating the commutative property of multiplication.

If the normal price of a book is $b, what is the sale price after a $10 discount?

• $b - 10

• $b + 10

• $b * 10

• $b / 10

How much would it cost to buy three books on sale if each book is $b - 10?

• 3b - 10

• 3(b - 10)

• b - 30

• b * 3 - 10

What is the expression for the total cost of three books, each priced at $b - 10?

• 3b - 30

• b - 30

• 3b + 30

• b + 30

Where does the line cross the x-axis if it passes through points A and B?

• Between -3 and -2

• Between 0 and 1

• Between 1 and 2

• Between 0 and -1

Which of the following is NOT a possible location for the line to cross the x-axis?

• Between 1 and 2

• Between 0 and -1

• Between -3 and -2

• Between 0 and 1

What is the approximate location where the line crosses the x-axis?

• Between -3 and -2

• Between 0 and -1

• Between 0 and 1

• Between 1 and 2

What is the equivalent expression for 7a^2b * 7bc^2?

• 49a^2b^2c^2

• 49a^2bc^2

• 14a^2b^2c^2

• 14a^2bc^2

How can the expression 7a^2b * 7bc^2 be simplified using the commutative property?

• 14a^2bc^2

• 14a^2b^2c^2

• 49a^2b^2c^2

• 49a^2bc^2

What is the result of multiplying 7a^2b by 7bc^2?

• 49a^2bc^2

• 14a^2bc^2

• 49a^2b^2c^2

• 14a^2b^2c^2

Which choice represents the correct simplification of 7a^2b * 7bc^2?

• 49a^2b^2c^2

• 49a^2bc^2

• 14a^2b^2c^2

• 14a^2bc^2