Lesson 1 Objective: Find the percent of a number Percents Lesson 1 Objective: Find the percent of a number

Find 5% of 300. Find 25% of 180. Find 120% of 75. Find 150% of 28.

5. Refer to the graph. If 275 students took the survey, how many can be expected to have 3 televisions each in their houses?

6. Find 8% of 25. 7. Find 20% of 75. 8. Find 125% of 64. 9 6. Find 8% of 25. 7. Find 20% of 75. 8. Find 125% of 64. 9. Find 210% of 30.

10. A graph shows that 30% of the people in a town speak Spanish 10. A graph shows that 30% of the people in a town speak Spanish. If the town has 800 people, how many people can be expected to speak Spanish?

Lesson 2 Objective: Estimate the percent of a number

Sometimes an exact answer is not needed when using percents. One way to estimate the percent of a number is to use a fraction. Another method for estimating the percent of a number is first to find 10% of the number, and then multiply.

1. Jodi has paid 62% of the $500 she owes for her loan 1. Jodi has paid 62% of the $500 she owes for her loan. Estimate 62% of 500.

2. Marita and four of her friends ordered a pizza that cost $14. 72 2. Marita and four of her friends ordered a pizza that cost $14.72. She is responsible for 20% of the bill. About how much money will she need to pay?

3. Estimate 122% of 50.

4. There are 789 seventh grade students at Washington Middle School 4. There are 789 seventh grade students at Washington Middle School. About 𝟏 𝟒 % of the 7th grade students have traveled overseas. What is the approximate number of 7th grade students that have traveled overseas? Explain.

5. Last year, 639 students attended a summer camp 5. Last year, 639 students attended a summer camp. Of those who attended this year, 0.5% also attended summer camp last year. About how many students attended summer camp two years in a row?

6. Estimate 61% of 440.

7. Melinda calculated that 40% of the coins in her collection were minted before 1964. If there are 715 coins in her collection, about how many of them were minted before 1964?

8. About % of Smithville’s 1,500 adult citizens are attending the upcoming pop concert. What is the approximate number of adults attending the concert?

9. Estimate 173% of 60.

10. Last weekend, 96,081 people attended a college football game 10. Last weekend, 96,081 people attended a college football game. About 0.25% of them were reporters from newspapers, television and radio stations. About how many reporters were at the game?

Lesson 3 Objective: Solve problems involving percents by using the percent proportion

In a percent proportion, one ratio or fraction compares part of a quantity to the whole quantity. The other ratio is the equivalent percent written as a fraction with a denominator of 100.

1. What percent of $15 is $9?

2. What number is 40% of 120?

3. 18 is 25% of what number?

4. The average adult male Western Lowland gorilla eats about 33 4. The average adult male Western Lowland gorilla eats about 33.5 pounds of fruit each day. How much food does the average adult male gorilla eat each day? Food Percent Fruit 67% Seeds, leaves, stems and pith 17% Insects/Insect larvae 16%

5. What percent of 24 is 18?

6. What number is 30% of 150?

7. 12 is 80% of what number?

8. Sally read the nutrition facts on a box of cereal 8. Sally read the nutrition facts on a box of cereal. Each cup provides 7% of the recommended daily value of potassium. If a cup of the cereal contains 260 milligrams of potassium, what is the recommended daily value of potassium? Round to the nearest whole number.

Lesson 4 Objective: Solve problems involving percents by using the percent equation.

1. What number is 12% of 150?

2. 21 is what percent of 40?

3. 13 is 26% of what number?

4. A survey found that 25% of people aged 18-24 gave up their home phone and only use a cell phone. If 3,264 people only use a cell phone, how many people were surveyed?

5. What number is 48% of 200?

6. 26 is what percent of 32?

7. 12 is 40% of what number?

8. A survey found that 36% of people prefer comedies over action movies. If 450 people prefer comedies, how many people were surveyed?

Lesson 5 Objective: Solve problems involving percent increase and percent decrease

A percent of change is a ratio that compares the change in quantity to the original amount. amount of change Percent of change = original amount When you compare the amount of change to the original amount in a ratio, you are finding the percent of change. The percent of change is based on the original amount. If the original quantity is increased, then it is called a percent of increase. If the original quantity is decreased, then it is called a percent of decrease. amount of increase Percent of increase = original amount amount of decrease Percent of decrease = original amount

1. Find the percent of change in the cost of gasoline from 1970 ($1 1. Find the percent of change in the cost of gasoline from 1970 ($1.30) to 2010 ($2.95). Round to the nearest whole percent if necessary.

2. Yusuf bought a DVD recorder for $280. Now, it is on sale for $220 2. Yusuf bought a DVD recorder for $280. Now, it is on sale for $220. Find the percent of change in the price. Round to the nearest whole percent if necessary.

3. Jonas has been saving for a video game. Last year it cost $28 3. Jonas has been saving for a video game. Last year it cost $28. This year it costs $36. Find the percent of change in the cost. Round to the nearest whole percent if necessary.

4. Last month, 349 books were checked out from the school library 4. Last month, 349 books were checked out from the school library. This month, 273 books were checked out. Find the percent of change in the number checked out. Round to the nearest whole percent if necessary.

The percent error is a ratio that compares the inaccuracy of an estimate, or amount of error, to the actual amount. 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝐸𝑟𝑟𝑜𝑟= 𝐴𝑚𝑜𝑢𝑛𝑡 𝑜𝑓 𝐸𝑟𝑟𝑜𝑟 𝐴𝑐𝑡𝑢𝑎𝑙 𝐴𝑚𝑜𝑢𝑛𝑡

5. Ahmed wants to practice free-throws 5. Ahmed wants to practice free-throws. He estimates the distance from the free-throw line to the hoop and marks it with chalk. Ahmed’s estimate was 13.5 feet. The actual distance should be 15 feet. Find the percent error.

6. Morgan estimates that it will take 12 minutes to download a movie from an online movie store. It actually took 15.5 minutes to download the movie. Find the percent error. Round to the nearest whole percent if necessary.

Lesson 6 Objective: Solve problems involving financial literacy: sales tax, tips, and markup

Sales tax is an additional amount of money charged on items that people buy. The total cost of an item is the regular price plus the sales tax. A tip or gratuity is a small amount of money in return for a service. The total price is the regular price of the service plus the tip. A store sells items for more than it pays for those items. The amount of increase is called the markup. The selling price is the amount the customer pays for an item.

1. Drew wants to buy exercise equipment that costs $140 and the sales tax is 5.75%. What is the total cost of the equipment?

2. A customer wants to tip 15% on a restaurant bill that is $35 2. A customer wants to tip 15% on a restaurant bill that is $35. What will be the total bill with tip?

3. A haircut costs $20. Sales tax is 4. 75% 3. A haircut costs $20. Sales tax is 4.75%. Is $25 sufficient to cover the haircut with tax and a 15% tip?

4. A store pays $56 for a GPS navigation system. The markup is 25% 4. A store pays $56 for a GPS navigation system. The markup is 25%. Find the selling price.

5. A limited-edition soccer ball costs $30, and the sales tax is 6% 5. A limited-edition soccer ball costs $30, and the sales tax is 6%. What is the total cost?

6. Whitney’s bill at a diner came to $26. 00 6. Whitney’s bill at a diner came to $26.00. What would she pay if she included a 20% tip?

7. A manicure costs $18. The sales tax is 8. 25%. You want to tip 20% 7. A manicure costs $18. The sales tax is 8.25%. You want to tip 20%. Is $22 sufficient to cover the manicure, tax, and tip? Explain.

8. The wholesale cost for shirts bought by a sporting goods store is $20 per shirt. The shirts will be marked up 40%. What will be the selling price?

Lesson 7 Objective: Solve problems involving discount

Discount or markdown is the amount by which the regular price of an item is reduced. The sale price is the regular price minus the discount.

1. A DVD normally costs $22. This week it is on sale for 25% off the original price. What is the sale price of the DVD?

2. A boogie board that has a regular price of $69 is on sale at a 35% discount. What is the sale price with 7% tax?

3. A cell phone is on sale for 30% off. If the sale price is $239 3. A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price?

4. Clothes Are Us and Ratcliffe’s are having sales 4. Clothes Are Us and Ratcliffe’s are having sales. At Clothes Are Us, a pair of sneakers is on sale for 40% off the regular price of $50. At Ratcliffe’s, the same brand of sneakers is discounted by 30% off of the regular price of $40. Which store has the better sale price? Explain.

5. A box of golf balls sells for $20 5. A box of golf balls sells for $20. This week it is on sale for 30% off the original price. What is the sale price of the set?

6. Sandra is buying decorations for a party 6. Sandra is buying decorations for a party. She wants to buy a set of balloons. The original cost of the balloons is $39, but the store is offering a 25% discount. What is the sale price of the balloons including 5.75% tax?

7. Rosa buys a cell phone that is on sale for 60% off 7. Rosa buys a cell phone that is on sale for 60% off. If the sale price is $79.98, what is the original price?

8. A pair of Jeans Express is on sale for 25% off the original price of $35. The same pair of jeans at Clothes Galore is on sale for 30% off the original price of $40. Which store has the better sale price? Explain.

Lesson 8 Objective: Solve problems involving simple interest

Simple interest I is the product of the principal p, the annual interest rate r, and the time t, expressed in years. I = prt

Arnold puts $580 into a savings account Arnold puts $580 into a savings account. The account pays 3% simple interest. How much interest will he earn in each amount of time? 5 years: 6 months

2. Rondell’s parents borrow $6,300 from the bank for a new car 2. Rondell’s parents borrow $6,300 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 2 years to repay the loan?

3. Derrick’s dad bought new tires for $900 using a credit card 3. Derrick’s dad bought new tires for $900 using a credit card. His card has an interest rate of 19%. If he has no other charges on his card and does not make a payment, how much money will he owe after one month?

4. Luis is taking out a car loan for $5,000 4. Luis is taking out a car loan for $5,000. He plans on paying off the car loan in 2 years. At the end of 2 years, Luis will have paid $300 in interest. What is the simple interest rate on the car loan?

5. Jose’s savings account pays 3. 25% interest 5. Jose’s savings account pays 3.25% interest. He has $1,200 in his account. How much interest will he earn in 3 years?

6. Phoebe borrowed $2,600 from a bank to help pay for her college tuition. The interest rate is 8% per year. How much simple interest will she pay if it takes her 5 years to repay the loan?

7. Mariano paid for a plane ticket that cost $365 using a credit card 7. Mariano paid for a plane ticket that cost $365 using a credit card. His card has an interest rate of 13.5%. If he has no other charges on his card and does not pay off his balance by the end of the month, how much money will he owe after one month?