Calculating Discounts and Percentages

This video tutorial covers solving problems involving percent increase and decrease using tape diagrams, equations, and reasoning. It includes examples such as calculating discounts on shoes and changes in an exercise program. The tutorial emphasizes understanding the difference between the discount amount and the final price after discount, and solving equations to find original prices or quantities.

What is the main focus of Math 7 Unit 6 Lesson 12?

• Studying probability and statistics

• Solving problems about percent increase or decrease

• Understanding algebraic expressions

• Learning about geometric shapes

If an item is 20% off, what percentage of the original price do you pay?

• 20%

• 50%

• 80%

• 100%

How do you calculate the price of an item after a 20% discount?

• Multiply the original price by 0.2

• Subtract 20% from the original price

• Add 20% to the original price

• Multiply the original price by 0.8

On the third day of May's exercise program, she increased her walk time by what percentage?

• 25%

• 15%

• 10%

• 20%

What equation represents the situation where May's walk time on the third day is 120% of the second day?

• 1.20 * D + 5 = 42

• 1.20 * D = 42

• D + 5 = 42

• D = 42

If the temperature at noon is 9° and it doubled since midnight, what was the temperature at midnight?

• -3°

• 0°

• 6°

• 3°

In a sale, if a store applies a $3 coupon first and then a 20% discount, what is the correct order of operations?

• Apply both simultaneously

• Apply the coupon first, then the discount

• Apply the discount first, then the coupon

• It doesn't matter which is applied first

If a backpack originally costs $25 and is on sale for $21, what is the percentage discount?

• 25%

• 16%

• 10%

• 20%

What is the original price of a computer if it costs $830 after a $20 reduction and a 10% discount?

• $940

• $920

• $900

• $960