Rational Expressions and Sales Tax

In this lesson, Mr. Hul covers writing, evaluating, and finding equivalent expressions with rational numbers. The class begins with a Tic Tac Toe activity to arrange expressions. The lesson progresses to using the distributive property to simplify expressions and calculate discounts and new prices. Students learn to factor and represent expressions in various forms, followed by solving example problems to reinforce the concepts.

What activity did the class start with in the lesson on rational expressions?

• A video presentation

• A group discussion

• A tic-tac-toe game

• A math puzzle

Which property is used to rearrange expressions like 2x + 2 * (x - 6)?

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property

How can a 20% discount on a $100 item be represented?

• Multiply by 0.80

• Multiply by 0.20

• Subtract 20

• Add 20

What is the expression for the new price after a 20% discount on an item?

• Original price / 0.80

• Original price * 0.80

• Original price + 0.20 * Original price

• Original price - 0.20 * Original price

How can you express a 33% discount using a variable X for the original price?

• X * 0.67

• X + 0.33X

• X - 0.33X

• X / 0.67

If an item's price increases by 33% instead of decreasing, how would the expression change?

• X + 0.33X

• X - 0.33X

• X / 0.67

• X * 0.67

What is the sales tax rate applied in the example with an original price of $150?

• 12%

• 5%

• 8%

• 10%

How do you calculate the overall cost including an 8% sales tax on a discounted price?

• Add 8% to the original price

• Multiply the discounted price by 1.08

• Multiply the original price by 0.92

• Subtract 8% from the discounted price

What is the final step in calculating the total cost after applying a discount and sales tax?

• Add the sales tax to the discounted price

• Subtract the discount from the original price

• Multiply the original price by the discount rate

• Divide the discounted price by the sales tax rate

Which mathematical operation is primarily used to handle sales tax in the examples?

• Division

• Multiplication

• Subtraction

• Addition