Practice Problems with Negatives & Order of Operations
1. / 2. / 3.4. / 5. / 6.
7. / 8. / 9.
10. A deep-sea fiver went 80 feet under the surface, and then swam up 66 feet. How many feet below the surface is the diver? / 11. While playing football, Matt lost 6 yards, and then gained 20 yards, then lost 8 yards. How many yards did he gain from his three plays? / 12. If you are standing at the top of a mountain 6,624 feet above sea level and there is a submarine 230 feet below sea level, how much higher is your elevation than the submarine?
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16. / 17. / 18.
19. / 20. / 21.
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25. / 26. / 27.
28. / 29. / 30.
31. / 32. / 33.
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43. / 44. / 45.
46. / 47. (12 / 48.Find the distance if the temperature started at 90 and dropped to 55
49.Find the distance if the temperature started at and dropped to / 50.Find the distance if the temperature started at 80 and dropped to / 51.Find the distance if the temperature started at 90 and dropped to
52. / 53. / 54.
55. / 56. / 57.
58. / 59. / 60.
Unit 1: Rational Number Review Questions
6.NS.6 / 1. Simplify:7.NS.1 / 2. What is the value of x if
7.NS.1 / 3. Katherine worked hours on Monday. On, Saturday she worked hours. What is the total number of hours Katherine worked?
7.NS.1 / 4. Isabella has an overdrawn bank account balance of $-263.78. She made a deposit of $145.47. What is Isabella’s current bank account balance?
7.NS.1 / 5. Naomi has cups of flour. She used cup of her flour for baking. How much flour would she have left?
7.NS.1 / 6. The temperature at noon was 48.6 then decreased by 55.7 degrees. What is the current temperature?
7.NS.1 / 7. The highest temperature in May in the United States was 97. The lowest temperature in March was . What is the difference between the highest temperature and the lowest temperature in March?
7.NS.2 / 8. Arlene spends hours practicing dance during the weekend. During the week, she practices of that time. How many hours does Arlene practice dance during the week?
7.NS.2 / 9. Simplify:
7.NS.3 / 10. Simplify:
7.NS.3 / 11. Simplify:
7.NS.3 / 12. IS 73 charges $10.45 for their gym t-shirts. In June IS 73 offers a $2.95 discount for each t-shirt bought. How much will IS 73 charge for 13 t-shirts in June?
7.NS.3 / 13. A plant process ton of glass every 6 hours. How many tons of glass will the plant manufacture in a day?
7.NS.3 / 14. Danielle and Morgan work at an ice cream store. Danielle scoops ice cream at a rate of pounds per day. Morgan scoops ice cream at a rate of pounds per day. After 8 days, how many more pounds of ice cream did Danielle scoop then Morgan?
7.NS.3 / 15. Judy and Cindy own a cupcake shop. Judy bakes pounds of cupcakes per hour. Cindy bakes pounds of cupcakes per hour. After a 6-hour workday, how many pounds of cupcakes did Judy and Cindy bake?
Unit 2: Rate, Ratio and Proportion Review Questions
6.RP.3a / 1. Which proportion is correct?A.C.
B.D.
6.RP.3a / 2. What number will complete the ratio table?
2 / 18
4 / 36
6 / 54
9
7.NS.1 / 3. Simplify:
7.NS.2 / 4. Simplify:
7.NS.3 / 5. Simplify:
7.RP.1 / 6. Solve for x:
7.RP.1 / 7. Juan ran of a mile every of an hour. Find Juan’s rate in miles per hour.
7.RP.1 / 8. Andrea makes pizza sauce every year. She mixes 10 ounces of crushed tomatoes with 2 ounces of olive oil. How many ounces of crushed tomatoes would Andrea need if she has 24 ounces of olive oil?
7.RP.1 / 9. A baker used 6 eggs to make 50 brownies. To make 440 brownies, how many eggs would be needed?
7.RP.1 / 10. Using the table below, which store has the better buy?
Store / Weight (oz) / Total Price / Price per oz
Walmart / 20 oz / $10.50
Pathmark / 17 oz / $11.40
7.RP.1 / 11. A 11 oz bottle of hot sauce costs $6.49. If the unit price remains the same, how much would a 13 oz bottle of hot sauce cost?
7.RP.2 / 12. Which table has a proportional relationship?
A. / X / Y / B. / X / Y / C. / X / Y / D. / X / Y
/ 9 / / / / / /
/ 0 / 0 / / 0 / 0 / 0 / 0
1 / 9 / 1 / / 1 / 10 / 1 / 2.5
/ 45 / 5 / / 5 / 20 / 5 / 12.5
7.RP.2 / 13. A farm sells 22 potatoes for $12.10. If Morgan has $98 to spend, how many potatoes could she buy?
7.RP.2 / 14. Calculate the unit rate from the following information.
Number of Cookies / Price (in dollars)
5 / 2
9 / 3.6
7.RP.2 / 15.A 9-pound bag of cement covers 495 square feet. How many bags of cement would be needed to cover 2,722.5 square feet?
7.RP.2 / 16. Morgan charted how headbands she can make from rolls of ribbon. What is the constant of proportionality for this table?
Rolls of ribbon / Headbands
7 / 105
19 / 285
7.RP.2 / 17. To make pancakes Helen needed to mix water, egg and flour in a ratio of 20 oz: 18 oz: 6 oz. To make a larger batch 70 ounces of water would be needed. How many ounces of flour would be needed?
7.RP.2 / 18. Based on the information below, which store had the better buy?
- Store 1: y = .75x
- Store 2: 19 candies for $18.05
- Store 3: (5, 4.40) (8, 7.04) (11, 9.68)
7.RP.2 / 19. What is the unit rate for the following table?
Number of toy cars / Price
5 / $48.75
9 / $87.75
7.RP.2 / 20. Calculate the price per muffin?
7.RP.2 / 21. An 11-pound bag of seed covers 1,400 square feet. How many bags would be needed to cover 4,900 square feet?
- Part B: How many pounds would be needed?
7.RP.2 / 22. The cost of cookies is directly proportional to price. Brianna paid $68.25 for 39 cookies. How much would 6 cookies cost?
7.RP.2 / 23. Mackenzie went to Target to buy supplies for school. She bought 1 pack of construction paper for $9.50 and 29 pencils. If he spent $16.17 on school supplies, how much did each pencil cost?
7.RP.2 / 24. It takes 40 minutes to ride miles on a bus. How many miles can Mike ride in 1 hour?
Unit 3:Commission, Tax, Discount, Scale Factor, Percent Error, Percent Increase and Decrease, Mark Up and Tip Review Questions.
6.RP.3c / 1. Susan bought a necklace for 20% off the original price. If the original price was $450, how much is the sales price of the necklace?6.RP.3c / 2. Lauren and her friends were playing soccer in the park. She made 10 out of 14 shots she attempted. What percent of shots did she miss?
7.EE.3 / 3. % can be written as what decimal equivalent?
7.EE.3 / 4. Write 8% as a fraction in lowest terms.
7.EE.3 / 5. Sara bought headphones that were 30% off the regular price of $699.00. If a 8% sales tax was added to the cost of the headphones, what is the total price Sara paid for the headphones after the discount and sales tax were applied?
7.RP.3 / 6. Gap is having a sale, 35% off your total purchase. Dawn bought a pair of leggings for $68.00 and a scarf for $185.00. How much money did Dawn save?
7.RP.3 / 7. Jackson bought a sweatshirt on sale for $40. The original price of the sweatshirt was $65. What percent represents the discount Jackson received when buying his sweatshirt?
7.RP.3 / 8. Mike went to Best Buy and spent $1,850.00 on a 3D TV. Sales Tax on electronics is 8.6%. How much was Mike’s final bill including tax?
7.RP.3 / 9.Mary found a pair of Uggs she wanted to buy for $225 while shopping. When checking out she used a coupon for a 35% off and then an 8.6% sales tax was applied. What was the final price of her Uggs?
7.RP.3 / 10. Henry wen to Chili’s. His bill was $48.80 and he left a 20% tip. How much money did Henry leave as a tip?
7.RP.3 / 11. Judie went to dinner with her friend. After dinner Judie left a $35.50 tip, which was 35% of their total bill. How much was their bill before tip was added?
7.RP.3 / 12. At a discount furniture store, Mike offered a salesperson $1,150 for a bed set. The offer included a 8% sales tax. If the salesperson accepts the offer, what would be the price of the sectional, to the nearest dollar, before tax?
7.RP.3 / 13. Bob’s Furniture Store buys a desk at a wholesale price of $185 to sell at their store. If Bob’s Furniture Store marks up all furniture by 67%, determine the selling price of the desk?
7.RP.3 / 14. A store purchased a picture for $55 and sold it for 35% more than the original purchase price. The customer was then charged a 8% tax when the picture was sold. What was the total cost of the picture?
7.RP.3 / 15. Luca earns a 7% commission on every co-op he sells. How much commission would Luca make on the sale of a $795,000 co-op?
7.RP.3 / 16. Steven receives a 9.4% commission on each car he sells. The dealership paid $30,000 at an auction. The next day the car sold for 40% more than they paid. How much commission did Steven earn on the selling price of the car?
7.RP.3 / 17. Melanie receives a 6.5% commission on every tuck she sells. To prevent from loosing a sale, Melanie had to give her customer a 35% discount on a $38,500 truck. How much commission would Melanie make on the discounted price of the truck?
7.RP.3 / 18. Jillian deposited $3,900 and earns 12% interest for 8 years. How much interest did she earn?
7.RP.3 / 19. James deposited $6,800 16 years ago, locking in a rate of 8% per year. After 16 years what is James’s bank account balance?
7.RP.3 / 20. Teresa’s bakery started with 800 cupcakes in the morning. After a busy afternoon there were only 80cupcakesleft. By what percent did the cupcakeinventory drop?
7.RP.3 / 21. The enrollment at a health club increased from 2,000 members to 5,500 members over a 5-year period. What is the percent increase in enrollment?
7.RP.3 / 22. Allen made a mistake when calculating the area of a patio. He found the area of a 55patio to be 85 . What is the percent error in his measurement?
7.G.1 / 23. Two cities are 135 miles from each other. How far apart would the two cities be on a map that has a scale of .6 in: 8.6 mi?
7.RP.3 / 24. Lauren went to dinner with her friends. After dinner Lauren left a 42.50 tip, which was 25% of their total bill. How much was their bill before tip was added?
7.RP.3 / 25. Louie's Furniture Store buys a lamp at a wholesale price of $245.00. Louie's Furniture Store marks up all furniture by45%, at what price should the manager sell the lamp?
7.RP.3 / 26. Monica bought a pair of sneakers for $246. There was a 45% discount and an 8.5% tax. What was the final price of her sneakers, to the nearest cent?
7.RP.3 / 27. Patty went to a pizzeria. Her bill was $39.90 and she left a 25% tip. How much did Patty leave her waiter as a tip?
7.RP.3 / 28. Mike receives a 6.4% commission on each car he sells. The dealership paid $10,000 at an auction. The next day the car sold for 38% more than they paid. How much commission did Steven earn on the selling price of the car?
7.G.1 / 29. A model car has a scale of 1 inch per every 18.5 feet. If the model car was 6.5 inches long. What is the length of the actual car?
7.SP.2 / 30. Sara randomly chose 40% of the members of her gym and surveyed them on their favorite gym class. Of the members surveyed 42 chose spinning. Based on this sample, how many members go to Sara’s gym.
7.SP.2 / 31. 500 randomly selected students were surveyed from IS 73.
- 160 students preferred class was English.
- 340 students preferred class was SS.
7.SP.2 / 32. Jen randomly chose 15% of the members of her gym and surveyed them on their favorite gym class. Of the members surveyed 32 chose Zumba. Based on this sample, how many members go to Jen’s gym.
7.SP.2 / 33. 300 randomly selected students were surveyed from IS 73.
- 140 students preferred class was art.
- 160 students preferred class was gym.
7.RP.3 / 34. At a discount furniture store, Chris offered a salesperson $1,350 for a bed set. The offer included a 8.5% sales tax. If the salesperson accepts the offer, what would be the price of the sectional, to the nearest dollar, before tax?
Unit 4: Expressions, Inequalities, Equations and Circle Review
7.NS.1 / 1. Simplify:7.NS.2 / 2. Simplify:
7.NS.3 / 3. Simplify:
7.NS.3 / 4. Simplify:
7.EE.1 / 5. Evaluate the expression M Q, if M = and Q = .
7.EE.1 / 6. Simplify:
/ 7. Is 1 equivalent to
7.EE.1 / 8. Simplify:
7.EE.2 / 9. Peter is buying plane tickets for his brothers (B). He paid a $80 baggage fee and $850 per plane ticket. Write an expression to represents the price Peter will pay to take (B) brothers on a plane for vacation.
7.EE.2 / 10. Simplify:
7.EE.3 / 11. If the perimeter of a square is , What is the length, in cm, of each side of the square?
7.EE.3 / 12. Whenis subtracted from 1 , the result is?
7.EE.4a / 13. Nick has to read a 450-page book this month. He read 80 pages last week. If Nick plans to read 65 pages a night, write an equation to determine how many nights it would take Nick to finish the book?
- How many nights would it take nick to finish the book?
7.EE.4a / 14. Solve the equation to the right for x.
7.EE.4b / 15. Solve the equation for b.
7.EE.4b / 16. Dana is preparing for a triathlon and wants to bike at least 280 miles. Last month Dana biked 85 miles. If Dana biked 8 miles a day.
- Write an inequality to determine the number of days it would take Dane to reach her goal?
- How many days would it take Dana to reach her goal?
7.EE.4b / 17. Solve for x:
7.EE.4b / 18. Sara spends $2.50 for every song she downloads to iTunes. How many songs can Sara download if she has at most $84.50 to spend?
7.EE.4b / 19. Michele went shopping for art supplies. She has at most $150 to spend. If each case of pencils $28.50, what is the greatest number of cases Michele could buy?
7.EE.4b / 20. Brian has $345 to spend on food for his Super Bowl party. He bought a 6-foot hero for $125 and buffalo wings, which cost $0.65 per wing. Write an inequality to represents the maximum number of wings ) Brian could buy?
- Could Brain buy 250 wings? Justify your answer
7.EE.4b / 21. Rodger went to a baseball game with $100 to spend. Rodger spent $32.75 on ice cream and the rest of his money on hot dogs. The cost per hot dog was $11.75. What was the greatest number of hot dogs Rodger could buy?
7.G.4 / 22. The area of a circle is . What is the diameter of the circle?
7.G.4 / 23. Nicole has a round table and calculated the circumference of the table to be 125.66 feet. What is the table’s radius, to the nearest foot?
Unit 5 Probability & Statistics Review
7.SP.B3 / 1. Calculate the mean, median, mode and range of the following test scores.71, 76, 18, 12, 19, 74, 15, 13, 11, 21, 71
7.SP.C7 / 2. Friday’s has many different options to choose from to make a 3-course meal. There are 6 different appetizer8, 5 different entrees, and 8 different types of dessert. How many possible sundae combinations are there?
7.SP.C7 / 3. The probability that Sara receives a store promotion in her email is 12%. If she received 420 emails in a week, about how many of them can she expect to contain a store promotion?
7.SP.C7 / 4. A random sample of 150 was taken from a warehouse containing 18,000 soda bottles. There were 28 cracked bottles in that sample. How many cracked bottles would you expect to be in the entire warehouse?
7.SP.C7 / 5. The probability of it will snow is 75%. Write a statement to best describes the likelihood of it snowing?
7.SP.C7 / 6. There are 13 clovers in standard deck of 52 cards. If a card was chosen at random, what is the probability of selecting a card that is not a clover?
7.SP.C7 / 7. Mary spins a spinner that is divided into equally sized sections. The sections consist of blue, green, green, blue, yellow, and purple. What is the probability of Mary spinning the spinner and the spinner landing on green?
7.SP.C7 / 8. A coin is tossed 95 times. Out of the 85 tosses 55 were heads and 40 were tails. What is the relative frequency of getting a tails?
7.SP.C7 / 9. The experimental probability that Louis will make a field goal. If Louis plays football 45 times a year, how many times can he expect to make a field goal?
7.SP.C8 / 10. Paul flips two coins. What is the probability that he flips at least one tails?
7.SP.C8 / 11. Lauren rolls a die and flips a coin. What is the probability that she will roll a number at least a 2 on a die and a heads on a coin?
7.SP.C8 / 12. Jameshas 4 red marbles, 8 blue marbles and 10 green marbles in a bag. What is the probability of James choosing a red marble, putting the marble back into the bag then selecting a blue marble?
7.SP.C8 / 13. A candy jar contains: 9Snickers bars, 8Mars bars and 10 Kit Kat bars. What is the probability Anna will pick a Snickers bar eat it and then pick a Kit Kat bar?
7.SP.C8 / 14. James has a bag of skittles. He has 22 red skittles and 12 yellow skittles. What is the probability James will pick a red skittle eat it out then pick another red skittle?
7.SP.C8 / 15. An owner of a grocery store knows that last week 54 customers paid with cash, 42 customers paid with a credit card and 153 customers paid with a debit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer would pay cash?
A. B. C. D.
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