Unit 6 Lesson 15 Percent Review

Unit 6 Lesson 15: Percent Review

By Virginia Sager

Recall information about percents from previous math classes....

Percent Conversions:

Percent to Decimal

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Multiple Choice

Which of the following is the decimal equivalent to $$4\%$$  

• $$0.4$$  

• $$0.04$$  

• $$4$$  

• $$40$$  

Multiple Choice

Which of the following represents 100% as a decimal?

• 1

• 0.01

• 0.1

• 100

Percent Conversions:

Decimal to Percent

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Multiple Choice

Which of the following represents 1.08 as a percent?

• $$8\%$$  

• $$108\%$$  

• $$18\%$$  

• $$180\%$$  

Percent Conversions:

Percent to Fraction​

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Multiple Choice

Which of the following represents $$80\%$$   as a fraction in simplest form?

• $$\frac{4}{5}$$  

• $$\frac{3}{4}$$  

• $$1\ \frac{4}{5}$$  

• $$\frac{8}{10}$$  

You cannot add, subtract, multiply or divide with values written as percents.

• BUT you CAN with DECIMALS and FRACTIONS.

• We must convert percentages to the equivalent fraction or decimal value in order to operate with them!

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When will I use this information about percents?

Read through the example on how to calculate tax.

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In order to determine what you will end up paying in total you must add ​the item cost + dollar amount due for tax.

Example

$60 + 4.50 = total $64.50

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Calculating Tax!​

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Draw

You need to pay 8% tax on a car that costs $12,000. What will you end up paying in total?

Multiple Choice

If you must pay the cost of the car ($12,000), and also pay an 8% tax, which of the following percentages represents what you will end up paying in total?

• 8%

• 100%

• 92%

• 108%

• Read through the example on how to calculate a discount.​

• In order to determine what you will end up paying in total you must subtract ​the item cost + dollar amount of discount.

• Example

  • $449.95 - $67.49 = total $382.46

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Calculating Discounts!

Multiple Choice

Burritos are on sale for 30% off. Your favorite burrito normally costs $8.50. How much does it cost now?

• $5.95

• $5.10

• $2.55

• $3.40

Multiple Choice

If the burrito is on sale for 30% off, what percentage are you actually paying?

• 60% of the original cost.

• 70% of the original cost.

• 40% of the original cost.

• 30% of the original cost.

Multiple Choice

A pair of shoes that originally cost $79 is on sale for 35% off. Does the expression $$0.65\left(79\right)$$   represent the sale price of the shoes, in dollars?

• Yes!

• No!

Yes! If the shoes are on sale for 35 % off, 100%-35%=65% so you are still responsible for paying the remaining 65% ​.

Multiple Choice

If an item originally costs $65.99. Their is not a sale, discount, or tax on the item. What is 100% of the cost of the item?

• $65.99

• $131.98

• $32.99

• $69.95

Consider multiple ways to correctly calculate!

Scenario:

"A one-night stay at a hotel in Anaheim, CA costs $160. Hotel room occupancy tax is 15%. What is the total cost of a one-night stay?

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You can either multiply the cost of the room by 0.15, then add the tax to the cost of the room (expression 1) , or you can recognize total is 115% of the room cost because 100% of the room cost +15% for tax is 115% (expression 2).

Both ways will result in the correct calculation/answer!

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Multiple Select

Scenario: " The population of a city was 842,000 ten years ago. The city now has 2% more people than it had then."

SELECT ALL of the expressions that can be used to calculate the population of the city now.

• $$842,000\ +\ 0.02\left(842,000\right)$$  

• $$1.02\cdot\left(842,000\right)$$  

• $$842,000\ +0.98\left(842,000\right)$$  

• $$1.20\ \cdot\left(842,000\right)$$  

• $$0.98\cdot\left(842,000\right)$$  

Something to think about:

What is an example of something that would be greater than 100%

You are most familiar with your grade as a percentage. Consider other ways percents are used.

You have completed the percent review!

Finished Early?

1. Unit 6 Lesson 15 Practice Problems

2. Check out the Unit 6 Study Guide LINKED.

3. Complete any missing/late/incomplete work!​

   Playing a game is not permitted at this time.