EE/RP/NS 1. What is the simplified form of this expression?

Transcription

1 EE/RP/NS 1. What is the simplified form of this expression? a) 10-9yz b) -2-9yz c) -10-9yz d) yz 2. Landry expects to swim a mile in n minutes. It takes him 8% longer than he anticipates. Landry can use the expression n n to find the amount of time it takes him to swim a mile. True or False? a) True b) False 3. On a 50-question math test, a student receives 10 points for every question answered correctly and loses 3 points for every question answered incorrectly. If c represents the number of questions answered correctly, which expression can be used to calculate a student's score? a) 10c - 3 b) 10c - 3(50 - c) c) 7c d) 7(50 - c) 4. Study the expression in the box. Which scenario best describes the expression? a) A pack of gum ( x ) and a bottle of water ( y ) cost a total of $0.89 b) A cookie ( x ) costs $0.89, and a carton of milk ( y ) costs $1. c) Strawberry candy ( x ) and orange candy ( y ) cost $0.89 each. d) An ice cream cone ( x ) costs $0.89 plus an additional $1 for sprinkles ( y ). 5. Which scenario may not be represented by the expression 1.18 x? a) A restaurant bill costs a total of x dollars. Jose leaves a tip that is 18% of the total bill. How much does Jose spend in all? b) After buying gasoline from the manufacturer for x dollars, a gasoline company marks up the cost of oil 18% before selling it to the consumer. How much does the consumer pay for the oil relative to how much the manufacturer pays? c) Tyrese owns a tire company. Normally he sells tires to customers for twice as much as he pays for them, but he is having a big sale and offering them for 82% off the usual price. During the sale, how much do the customers pay for tires relative to how much Tyrese pays for them? d) The local produce market is having a sale and customers can buy watermelons at an 18% discount. How much do the watermelons cost after the discount? 6. Four stores are offering discounts on the same video game. Which store is offering the best price on the video game? a) Game Pause b) Good Purchase c) J-Mart d) Wire Hound 7. In a class, 37.5% of the students are girls. If there are 20 boys in the class, what is the number of girls in the class? a) 8 b) 12 c) 32 d) Sam's annual college tuition will be $230 more than Ryan's annual college tuition after Sam's college tuition increases by 10% next year. If Ryan's current tuition is $22,200, what is Sam's current tuition? a) $20, b) $22, c) $24, d) $24, A teacher wrote a question on the board to which 42.5% of the 40 students in her class could not give the correct answer. What is the number of students who answered correctly? a) 6 b) 17 c) 23 d) Javier biked 6 miles on Tuesday, 4 miles on Wednesday, and 8 miles on Saturday. If he hopes to bike a total of 25 miles for the week, how many miles should Javier bike on Sunday? a) 4 miles b) 7 miles c) 18 miles d) 25 miles

2 11. Amanda's monthly salary increased from $5,300 to $5, Mary's salary also increased by the same percentage as Amanda's. If Mary was earlier getting $6,300, what is her new salary? a) $6, b) $6, c) $6, d) $6, A bagel costs 50 cents more than an apple. A cup of tea is 1.5 times the cost of a bagel. A cup of tea cost $1.95. What equation shows the relationship between the cost of a bagel and an apple, m? a) 1.95 = 0.5m + 50 b) 1.95 (50 + m) = 1.5 c) 1.95 = 1.5 (m + 0.5) d) 1.95 (1.5) = m Ryan works at a cell phone store Monday to Friday. He earns $80 per day plus $8 per phone sold. On Tuesday, Ryan makes at least $176. Which number line could be used to show the number of phones Ryan sold by the end of his shift on Tuesday? 14. The perimeter of the quadrilateral ABCD is 105 inches. What is the length of segment AB? a) b) c) d) a) 11 inches b) 27 inches c) 31 inches d) 36 inches 15. An airline charges $40 per bag that weighs less than 50 pounds and an additional $1.15 for each pound over 50. A customer was charged $45.75 for a single bag. How much did the bag weigh? a) 39.8 lbs b) 55 lbs c) 57.5 lbs d) 97.5 lbs 17. Consider the number line below. Which expression has a value of 7? a) a + b b) a + b c) c + d d) c + d 16. In which situation will Kiyo end up in the same location as where she started? a) Kiyo walks 3 steps forward, 9 steps backward, and 3 steps forward. b) Kiyo walks 17 steps backward, 20 steps forward, and 2 steps backward. c) Kiyo walks 7 steps forward, 10 steps backward, and 3 steps forward. d) Kiyo walks 12 steps backward, 16 steps forward, and 8 steps backward. 18. The average temperature in Antarctica during the winter months is -29 F. The average temperature in the state of Florida during the winter months is 72 F.On average, how much warmer is it in Florida than in Antarctica during the winter months? a) 29 F b) 43 F c) 72 F d) 101 F 19. Which expression is equivalent to 53 28? a) (-53) + 2 b) 53 + (-28) c) (-53) 28 d) Consider equation: a + b = c In which scenario will c always have a positive value? a) a is positive, and b is negative. b) a and b are both positive. c) a is negative, and b is positive. d) a and b are both negative. 21. Which can be represented using the product (50) (-5)? a) saving $5 each day for 50 days b) a submarine rising by 50 feet each hour for 5 hours c) earning $50 each month for 5 month d) an airplane losing altitude by 5 feet each second for 50 seconds 22. A farmer puts in posts every 2¼ yards along a road. The road is 67½ yards long. How many posts will he use? a) 20 b) 21 c) 30 d) 31

3 23. Stella is simplifying the expression 11( x 3) + 5(6 x ). Her work and justification are shown in the table. In which step did Stella incorrectly identify the property she used? a) Step 1 b) Step 2 c) Step 3 d) None of the above. Stella correctly identified each of the properties she used. 24. Steven made two cakes of the same size for a party: one chocolate and one vanilla. At the end of the day, ¼ of the chocolate cake was left over. There was ⅜ of the vanilla left over. Steven divided the remaining chocolate cake into 3 equal slices and the remaining vanilla cake into 9 equal slices.which statement correctly compares the sizes of the remaining slices? a) The remaining chocolate slices are the same size as the remaining vanilla slices b) The remaining chocolate slices are twice the size of the remaining vanilla slices. c) The remaining chocolate slices are half the size of the remaining vanilla slices d) The remaining chocolate slices are one third the size of the remaining vanilla slices. 25. A man works 5 consecutive days for 8 hours, 7½, 8¼ hours, 6¼ hours, and 6¾ hours. How much money will he earn for the 5 days if he makes $15.50 per hour? a) $29 b) $37 c) $ d) $ Shayna is the top-selling used car salesperson in Biloxi. She makes a commission of ⅛ of her total sales over $83,000. If she sold 3 vehicles in 1 day at $37,000 each, how much commission did Shayna make on the 3 sales? a) $3,500 b) $4,625 c) $10,370 d) $13, Tina walks ½ mile in each ⅓ hour. What is Tina's walking rate? a) 6 miles per hour b) 5 miles per hour c) 3/2 miles per hour d) ⅙ miles per hour 28. Zac wants to have a flower bed in his backyard. He measures the area of the flower bed to be 10 square feet. The actual measurement of the flower bed is 10.6 square feet. Approximately what is Zac s percent error? a) -6% b) -5.7% c) 5.7% d) 6% 29. A 2 pound package of shredded cheddar cheese is $6.98. A ½ pound package of shredded cheddar cheese is $1.98. What is the difference in the cost per pound between the larger and smaller packages of shredded cheddar cheese? a) The larger package costs $2.00 more per pound than the smaller package. b) The larger package costs $2.50 more per pound than the smaller package. c) The smaller package costs $0.47 more per pound than the larger package. d) The smaller package costs $2.50 more per pound than the larger package 30. Tiffany earns an annual income of $55,000. After she pays taxes, her take-home pay is $41,800. Tiffany gives 5% of her take-home pay to a stock broker to invest into the stock market. At the end of the year, her investment earned 8%. How much money did Tiffany's investment earn in the stock market? a) $ b) $ c) $2, d) $2, The average number of cars on a highway increased by 6% this year to 795 cars per day. What was the average number of cars on the highway per day a year ago? a) 48 cars per day b) 716 cars per day c) 750 cars per day d) 875 cars per day 32. Brittany is baking cookies for her class. She needs ¼ cup of sugar for every 3 cups of milk. If Brittany increases the amount of milk from 3 cups to 8 cups, how many cups of sugar does she need for her cookies? a) ⅓ cup b) ⅔ cup c) 4 cup d) 6 cups

4 33. In the forest, a tortoise, a hare, and a slug decide to compete in a 10-mile race. The distances traveled throughout the race are plotted on the graph for each animal. What is the best explanation of the point (0, 4) on the slug's line? 34. Esperanza wants to open a savings account. She has researched 4 banks in her area. She created the table based on information she gathered from each bank. If Esperanza decides to deposit $2,000 into a savings account instead of $5,000, which bank should she choose to have the most money at the end of the year, and how much money will be in the account? a) The slug began the race 4 minutes before the tortoise and the hare. b) The slug did not begin the race until 4 minutes after the tortoise and the hare. c) The slug was given a 4-mile head start before the race began because of his small size. d) The slug was 4 miles behind the tortoise and the hare from the start of the race. a) Esperanza should choose Bank of the Nation because the account will have $2,040 b) Esperanza should choose Bank of the Nation because the account will have $2,030. c) Esperanza should choose First Senators' Bank because the account will have $2,050. d) Esperanza should choose First Senators' Bank because the account will have $2, Mr. Anthony has assigned a book for his class to read. Joseph has read ⅕ of the book so far. Ray has finished 35% of the book. Felicia has read 90 of the 250 pages. Tiasia has completed 3/10 of the book. Who has read the most pages? a) Joseph b) Ray c) Felicia d) Tiasia 36. Mark is on the wrestling team. He weighs 125 pounds but wants to gain some weight. Each week for 4 weeks Mark gains 2.5 pounds. What is Mark's percent of increase in weight? a) 6% b) 7% c) 8% d) 9% 37. Mandy just graduated from college and has 4 job offers in 4 different states. Each state has a different income tax which will be deducted from her salary. In which state should Mandy take the job offer to earn the most money after taxes are deducted? 38. Frank researched buying a specific brand and set of golf clubs that he wanted. He put the information he found in the table. Which retailer is offering him the best deal? a) Colorado b) Illinois c) Pennsylvania d) Texas a) Brooks Golf Supplies b) DGS Sporting Goods c) Eagle Online Golf Store d) Golfer's World Catalog 39. Kay correctly answered 75% of the questions on a test. Which could be the number of questions on the test and the number of questions Kay answered correctly? a) 36 questions total. Kay answered 9 correctly. b) 36 questions total. Kay answered 27 correctly. c) 32 questions total. Kay answered 8 correctly. d) 32 questions total. Kay answered 26 correctly 40. Helen bought fabric for a tablecloth for $8.60 including tax. The sticker price was $7.92. About what percent sales tax did Helen pay? a) 9.0% b) 8.5% c) 7.5% d) 7.0%

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