WVDE Math 7 RP Analyze Proportional Relationships and Use Them to Solve Real-world and Mathematical Problems Test

Transcription

1 WVDE Math 7 RP Analyze Proportional Relationships and Use Them to Solve Real-world and Mathematical Problems Test 1

2 General Offline Instructions: Read each question carefully and decide which answer is correct. 2

3 1. Ashley paid $2.25 to download songs to her MP3 player. At this rate, how much would she pay to download 10 songs? A $6.75 B $7.50 C $22.50 D $ Marco wants to purchase a new MP3 player. His mother told him to surf the Internet to find the two best offers. The first offer was an 8% discount with at least a $21.00 savings and the second offer was a 9% discount with at least a $25.00 savings. Before the discount, find the original cost of each MP3 player. A 1st offer = $262.50; 2nd offer = $ B 1st offer = $277.78; 2nd offer = $ C 1st offer = $233.33; 2nd offer = $ D 1st offer = $312.50; 2nd offer = $ Page 3 of Copyright 2014 by The McGraw-Hill Companies, Inc.

4 3. Marco wants to purchase a new MP3 player. His mother told him to surf the Internet to find the two best offers. The first offer was an 8% discount with at least a savings of $21.00 and the second offer was a 9% discount with at least a $25.00 savings. Formulate an equation ot equality to find the cost of the second offer before the discount. A 0.09P is equal to 25 B 0.09P is greater than or equal to 25 C 0.09P is less less than or equal to 25 D 0.09P is equal to 21 4

5 4. Marco wants to purchase a new MP3 player. His mother told him to surf the Internet to find the two best offers. The first offer was an 8% discount with at least a savings of $21.00 and the second offer was a 9% discount with at least a $25.00 savings. Formulate an equation or inequality to find the cost of the first offer before the discount. A 0.08P is equal to 21 B 0.08P is greater than or equal to 21 C 0.08P is less than or equal to 21 D 0.08P is greater than or equal to 25 5

6 5. Emily has saved $200 toward a new Dell laptop computer. She can order the laptop on the Internet for $489 plus 6% sales tax. If she orders the laptop by the end of November, she can get 10% off the original price plus an instant discout of $25 as well as free shipping. How much more money will Emily need to save by the end of November in order to purchase the computer online? A $ B $ C $ D $

7 6. The track team celebrated its winning season at a certain restaurant. For large parties, the restaurant adds a 15% gratuity to the meal cost. The team's meal cost $ Which statement expresses the team's total bill? A the total bill $ with a gratuity of $76.61 B the total bill is $ with a gratuity of $63.84 C the total bill is $ with a gratuity of $95.76 D the total bill is $ with a gratuity of $ The ratio of cashews to raisins in the trail mix was 2 to 5. If Jon had a total of 21 raisins and cashews, how many cashews did he have? A 9 B 8 C 7 D 6 7

8 8. You want to purchase a new ipod with your birthday money. Store A sells the ipod for $ and is currently offering a 30% discount. Store B sells it for $ and is offering a 20% discount. Sales tax is 6% at both stores. Which store has the best final price and by how much? A Store A: $2.17 B Store A: $2.30 C Store B: $6.04 D Store B: $ Select the graph for y = 10x. 8

9 A B C 9

10 D 10. Emily has saved $200 toward the purchase of a laptop computer. The website she is using to buy the computer currently has two special offers on the laptop. Offer 1 has the computer for $489 plus tax with free shipping. Offer 2 has the computer for $489 with a 10% discount plus a $20 instant rebate and $50 shipping cost, plus tax. Taxes are calculated on the cost of the computer and shipping. If the tax rate is 6%, which statement is true? A Offer 1 is less than offer 2 by approximately $50. B Offer 1 is greater than offer 2 by approximately $50. C Offer 1 is greater than offer 2 by approximately $20. D Offer 1 is less than offer 2 by approximately $ Sally drives 240 miles and uses 12 gallons of gasoline. Which of these proportions can be used to find the number of miles she could drive with 15 gallons of gasoline? A B C D 10

11 12. Ronnie creates 24 sketches in 2 hours. Which equation correctly determines the number of sketches Ronnie can create in 8 hours? A B C D 13. Monica is competing in a 105-kilometer bicycle race. She is traveling at an average speed of 30 kilometers per hour. Which equation can Monica use to correctly determine the time it will take her to finish the race? A B C D 14. Video World is having a sale on the newest games. All games are $59.50 and there is a 30% discount. What is the best estimate of the sale price of the video games? A $30 B $20 C $50 D $40 11

12 15. Alyssa earns $58 per day plus a 15% commission on all her sales. Alyssa sold $340 on Monday. Which is the correct method to calculate Alyssaâs earnings on Monday? A Add together 58 and 15 to get $63 B Multiply 340 by 1.5 and add 58 to the result to get $398 C Multiply 340 by 0.15 and add 58 to the result to get $109 D Add together 58 and 340 to get $ A building that is 75 feet tall casts a shadow 100 feet. At the same time of the day, a tree in a nearby park casts a shadow that is 42 feet. Which proportion would be used to find the height of the tree? A B C D 12

13 17. A building 125 feet tall casts a shadow 300 feet. At the same time of the day, a tree in a nearby park casts a shadow that is 72 feet. Which proportion would be used to find the height of the tree? A B C D 18. A building 99 feet tall casts a shadow 250 feet. At the same time of the day, a tree in a nearby park casts a shadow that is 68 feet. Which proportion would be used to find the height of the tree? A B C D 13

14 19. You are buying liquid detergent for the school s annual car wash. The brand you want comes in three sizes: 16 ounces for $1.98, 24 ounces for $2.50 and 32 ounces for $3.96. You need to buy 384 ounces of detergent. Which statement best describes the purchase that will be the cheapest? A Buy 12 of the 32-ounce bottles because this size is the least expensive per ounce. B Buy a combination of the 16 and 24-ounce bottles because these are the the least expensive per ounce. C Buy a combination of the 16 and 32 ounce bottles because these are the least expensive per ounce. D Buy 16 of the 24-ounce bottles because this size is the least expensive per ounce. 14

15 20. An MP3 player was originally priced at $ The price was then marked 20% off. Which is the best estimate of the sale price of the MP3 player? A $48.00 B $32.00 C $8.00 D $ Ryan can drive from college in Morgantown 155 miles to his home in Martinsburg in 2.5 hours. At the same rate, how many miles can he drive in 7 hours? A miles B miles C miles D miles 15

16 22. Tyrone wants to find the height of the tree in his front yard. He decides to measure his shadow and the shadow of the tree. Look at the similar triangles created. Which of these proportions can be used to find the height of the tree? A B C D 23. In August, a pair of jeans was originally marked at $60. After two months, the jeans were discounted 25%. After two more months, the jeans were placed on the clearance rack and reduced by an additional 50%. What is the new sales price of the jeans? A $37.50 B $22.50 C $15.00 D $

17 24. The table shows the relationship between the number of minutes, m, that Nina exercised and the number of calories, c, that she burned. Which graph would you extend to determine the number of calories burned when m = 15? A B 17

18 C D 25. The number of calories burned during a physical activity is directly proportional to the time the person spends doing the activity. A 150 pound person burns 75 calories during 20 minutes of brisk walking. How many calories would the person burn if they walked 75 minutes? A 20 B 38 C 281 D

19 26. You cut out a triangle with side lengths 3 cm, 4 cm and 6 cm. Which of the following triangles is similar to your triangle? A 1 cm, 2 cm, 4 cm B 1.5 cm, 2 cm, 3 cm C 5 cm, 6 cm, 8 cm D 7.5cm, 10 cm, 17 cm 19

20 27. Your teacher drew four graphs on the board. Which of these is the graph of -9(x+3) > 30? A Graph A B Graph B C Graph C D Graph D 20

21 28. The seventh grade class is selling flats of flowers to raise money for a trip to the zoo. Four students drew graphs to model the sale. The data regarding the sale is shown below. Student Number of Flats Sold (x) Profit (y) Sara 4 $ 12 Ryne 8 $ 24 Peyton 3 $ 9 Marie 7 $ 21 Which graph correctly represents the data and can be used to determine the number of flats a student must sell to raise $90? A Graph A B Graph B C Graph C D Graph D

22 During a long-distance race, a runner completes one lap around a track every 3 minutes. The relationship between the number of minutes (m) and the number of laps (l) the runner completes is shown in the table. Laps Completed Minutes (m) Laps (l) ? Which graph would you extend to find the number of laps when m = 26? A B 22

23 C D 23

24 30. A printing company is producing banners of different sizes for an event. The length of each banner is twice its width. The table shows values for l and w. Width (w) feet Length (l) feet ? Which graph would you extend in order to determine the length when w = 14 feet? A B 24

25 C D 25

26 31. Jolie and Hans ate at a local restaurant. Jolie ordered a barbeque and Hans had a BLT. They shared apple wedges as an appetizer. They each had a soft drink. Hans had ice cream for dessert. There is a 6% tax on the meal. The service was good, so they decided to leave the waiter a 15% tip on the final bill. Use the menu below. If Hans payed with a $20 bill, how much change did he receive? A $5.20 B $7.13 C $6.77 D $ Charlotte went shopping and bought two skirts for $23 each, a 4-pack of hair clips for $4.50, a dress for $35, two pairs of slacks for $27.50 each, and a jacket for $48. The sales tax was 9.25%. Charlotte had $300 from her summer job to spend. Which is the best approximation of the amount of money Charlotte has left after shopping? A $10 B $20 C $90 D $150 26

27 33. In an audition for a talent contest, 3 out of every 16 people qualify for the next round. If 1,200 people audition, which is the correct answer and expression that determines how many people do not qualify for the next round? A 6,400 people because B 975 people because C 1,477 people because D 225 people because 34. In May, Brown s Shoe Factory manufactured 196 pairs of shoes. In June, the factory manufactured 490 pairs of shoes. Which method finds the percent increase from May to June? A Subtract 196 from 490 and divide the result by 490 to get is a 60% increase. B Subtract 196 from 490 and divide the result by 490 to get 0.6. Subtract 0.6 from 1 to get is a 40% increase. C Subtract 196 from 490 and divide the result by 196 to get is a 150% increase. D Subtract 196 from 490 and divide the result by 196 to get 1.5. Add 1 to 1.5 to get is a 250% increase. 35. Makila is using $175 of her babysitting money to buy a portable DVD player and some DVDs. She found a portable DVD player on sale for $ The store has DVDs for $13.00 each. She has to pay 6% sales tax on all her purchases. What is the maximum number of DVDs she can buy if she also buys the DVD player? A 6 B 12 C 7 D 13 27

28 36. Mr. Evans puts the problem below on the board. (7 + 6)(8 3) He wants you to rewrite the problem using the distributive property. Which expression is equivalent to Mr. Evans problem using the distributive property? A (7 8) (7 3) (6 3) B (7 8) + (6 8) (6 3) C (7 8) (7 3) + (6 8) (6 3) D (7 8) + (7 3) + (6 8) (6 3) 37. A river monitoring station located along the lower Greenbrier River records the depth and flow rate of the river. The data from the station for a 5-day period is shown below. What is the percent decrease of the river depth from Monday to Friday? A 23.4% B 30.5% C 76.6% D 130.5% 38. Joy makes $7.50 per hour for the first 40 hours she works each week. She receives time and a half for anything over 40 hours. Last week her paycheck (before deductions) was $390. How many hours of overtime did she work that week? A B C 10 hours D 8 hours hours hours 28