Elmont Memorial High School Grade 7 Assessment Review Packet Students Name:________________________________ Math Teacher:_______________________ Assigned Assessment Review day/time:_____________ You must have this packet in order to attend Assessment Review! 1 3 1. On Monday, the value of a stock decreased by 2 point. On Tuesday, the value increased by 4 point. On 3 Wednesday, the value decreased by 8 point. What number represents the change in stock value after the three days? A 7 B 2 8 8 point point 1 C − 8 point D − 13 8 point 2. Which statement below is equivalent to –15 – 12? A – 15 + 12 B 12 – – 15 C 15 – 12 D – 15 + – 12 3. Which expression has a positive product? A 13 ∙ (– 7) B 8 ∙ (−20) C 99 ÷ (–3) 1 5 3 7 D − ∙− 4. Which statement is not true? A 11 + −20 = −20 + 11 B 12 − −10 = −10 − 12 C −5 ∙ 2 = 2 ∙ −5 D −16 ÷ −4 = −16 ÷ −4 5. Find expression has a positive product. A 13 ∙ (– 7) B 8 ∙ (−20) C 99 ÷ (–3) 1 5 3 7 D − ∙− 4 6. Joe’s apple weighs 5 lb. Marta’s apple weighs 0.5 lb. How much more does Joe’s apple weigh than Marta’s? A 0.3lb B .75lb C 0.8lb D 1.25lb 7. Destiny is practicing basketball. She makes 8 out of 25 free throws. Which decimal shows how often Destiny makes a basket? A 3.2 B 3.125 C 0.32 D 0.3125 8. A clogged bathtub drains at a constant rate. The amount of water in the bathtub changes by −3.75 1 gallons in one hour. What is the change in the amount of water in the bathtub after 3 of an hour? A −1.25 gallons B −2.25 gallons C −6.25 gallons D −11.25 gallons 1 9. Allan plays a video game in which he starts with 0 points. In round 1, he loses 3 2 points; in round 2, 1 1 she winds 28 2 points; and in round 3, she loses another 3 2 points. What is her final score? 1 A − 18 2 1 B 18 2 1 C 21 2 1 D 35 2 10. Which expression is equivalent to 5 8 3 1 − 4 (8 – 3) + 1? 3 A − 38 5 B − 38 7 C − 68 1 D − 48 3 11. Mai spends 7 5 hours in school each day. Her lunch period is 30 minutes long, and she spends a total of 42 minutes switching rooms between classes. The rest of her day is spent in 6 classes that are all the same length. How long is each class? 1 A 1 15 hours 3 B 1 20 hours 11 C 1 60 hours 4 D 1 15 hours Part II – Short Response (2 points each) 12. Nykai is scuba diving. She stops to look at a fish that is 14.3 meters below the surface. Then she swims down 5.8 meters deeper to look at a reef. If she then swims up 3.2 meters. What is Nykai’s position in relation to the ocean surface? Show your work. Answer ________________________meters 13. Rewrite these numbers in order from least to greatest. 2 , 5 0, − Answer:________________________________________________ 3 , 2 − 9 , 8 8 7 14. Mitch is cutting wood to make a garden marker. Each garden marker changes the length of the piece 4 of wood by -0.8 foot. The length of wood changes by a total of −4 5 feet after Mitch cuts all the garden markers. How many pieces of wood did Mitch cut? Show your work. Answer_________________________________________________ Part III – Extended Response (3 points each) 15. The table shows the elevations of 6 cities in California. City Elevation (m) Westmorland -48 Brentwood 24 Holtville -3 Imperial -18 Bombay Beach -69 Los Altos 48 Part A How many meters greater is the elevation of Brentwood than the elevation of Bombay Beach? Show your work. Answer _____________________________ Part B What is the difference in elevation between Los Altos and Westmorland? Show your work. Answer _____________________________ Part C Angel says that Imperial is −6 times as far below sea level as Holtville. Explain Angel’s error. 16. Kayla regularly babysits the 3 neighbor children. She gets paid $4 per hour for each child. Part A Paige babysat for the 3 neighbor children for 3 hours. How much money did she earn? Show your work. Answer_____________________________________________________ Part B Kayla was asked if she was available next week to babysit all 3 children for 8 hours. Kayla is going to have a friend help her and will give her half the earnings. How much will Kayla and her friend each earn? Show your work. Answer:____________________________________________________ Part C The neighbors are having another child. Kayla wants to ask for a $0.75 raise per child per hour. If she gets the raise, how much more will she earn watching 4 children at her new rate than she did watching 3 children at her old rate for 3 hours? Show your work. Answer:____________________________________________________ 17. Which table shows a proportional relationship between x and y? x y x y x y x y 25 5 25 5 25 5 25 35 30 6 30 4 30 10 30 40 40 8 40 3 40 20 40 50 A B 1 C 5 1 D 1 18. What is the result when 8 𝑥 − 2 7 is subtracted from 3 4 𝑥 + 7 14? 1 11 1 5 A 3 8 𝑥 + 9 14 B 3 8 𝑥 + 4 14 1 5 1 11 C −3 8 𝑥 − 4 14 D −3 8 𝑥 − 9 14 2 19. Which expression is equivalent to 5 (4𝑥 + 9)? A 4 B 6 11 C 8 7 D 8 5 9 𝑥+5 𝑥+ 5 5 5 5 𝑥+5 𝑥+ 18 5 20. The graph below shows the proportional relationship between cups of milk and the cups of strawberry juice in a recipe for homemade strawberry milk. What is the meaning of the point (1, 0.5)? A For every 0.5 cup of milk, there should be 0.5 cup of strawberry juice. B For every 0.5 cup of milk, there should be 1 cup of strawberry juice. C For every 1 cup of milk, there should be 0.5 cup of strawberry juice. D For every 1 cup of milk, there should be 1 cup of strawberry juice. Part II – Short Answer (2 credits each) 21. Simplify each of the following expressions. Part A 5 − 3(−6𝑏 + 5) Answer:_______________________________ Part B (−4.8𝑦 + 20.1) − (12.7𝑦 + 9.3) Answer:_______________________________ 22. Lauren says the two expressions 3𝑥 + 4(2𝑥 + 5) and 6𝑥 + 5𝑥 + 5 are equivalent. Part A Simplify the expressions to determine whether or not Lauren is correct. Show your work. Answer:_______________________________ Part B Substitute a number for the variable to determine whether or not Lauren is correct. Show your work. Answer:_______________________________ Part III – Extended Response (3 credits each) 23. The dimensions of a rectangle are given in terms of x as shown below. 2 1 4 2𝑥 − 3 4 Part A Write an expression representing the perimeter of the rectangle. Show your work. Answer:_______________________________ Part B Write an expression representing the area of the rectangle. Show your work. Answer:_______________________________ Part C If the value of x was 5, what is the actual perimeter of the rectangle? Show your work. Answer:_______________________________ 24. The local Farm Market sells peppers at five for $2.25. Part A Complete the rate table. Number of Peppers 1 2 3 4 5 10 15 20 100 2.25 Cost Part B Write an equation that relates the number of peppers, n, and the cost, C. Show your work Answer __________________________ Part C How many peppers could you buy for $20? Show your work Answer __________________________ 25. What value of x makes this equation true? A −3 B −2 C 2 D 3 6𝑥 1 = 6 (− ) −4 2 Short Response (2 credits each) 26. Jackson’s mom limits the amount of time he is allowed to play video games. After Jackson plays for 9 minutes, his mom tells him he has used up 30% of his time. How many more minutes can Jackson play before he uses all of his time? Show your work. Answer _______________________ minutes 27. Patricia had less than $9 to spend when she went to the grocery store. She bought 1 pound of tomatoes and wanted to spend the rest of her money on potatoes. One pound of tomatoes costs $2.40, and one pound of potatoes costs $2.20. Write an inequality to show how many pounds of potatoes, x, Patricia can buy. Inequality ________________________________ Solve the inequality to find how many pounds of potatoes Patricia can buy. Show your work. Answer _____________________________________ 28. Henry sells apples. The graph below shows the relationship between the price of apples and their total weight. What does the point (0, 0) on the graph mean? A Henry didn’t sell any apples last week. B Henry does not make any money for selling apples. C Henry didn’t make any money last week selling apples. D Henry does not make any money if he sells no apples. 29. The graph below shows Jason’s earnings based on the number of hours he works. What point on the graph represents Jason’s hourly pay rate? A (0, 0) B (1, 15) C (2, 30) D (3, 45) 30. Paul is making banana bread. The number of cups of bananas he uses is proportional to the number 1 of loaves of bread. Paul uses 11 4 cups of bananas to make 5 loaves of bread. Which equation represents the relationship between c, the number of cups of bananas, and b, the number of loaves of bread? 4 A 𝑐 = 9𝑏 B 𝑐 = 2𝑏 1 C 𝑐 = 24𝑏 D 𝑐 = 5𝑏 31. The elevation of the surface of the Dead Sea is −424.3 meters. In 2005, the height of Mt. Everest was 8,844.43 meters. How much higher was Mt. Everest? A −9,268.73 m B −8,420.13 m C 8,420.13 m D 9,268.73 m 2 32. Which expression is equivalent to 5 (4𝑥 + 9)? A 4 B 6 C 8 D 8 9 𝑥+5 5 5 𝑥+ 11 5 7 𝑥+5 5 5 𝑥+ 18 5 33. The table below shows how much flour Carlos needs to bake various numbers of scones. Scones 12 20 28 Cups of Flour 3 5 7 How many cups of flour does Carlos need for each scone? A 1 B 𝟑 4 𝟒 C 3 D 4 34. Cedric has 1 red pen, 1 blue pen, and 1 black pen in his desk. If he randomly takes two of them from his desk without replacement, what is the probability that he will take the blue and black pens? A 1 B 1 C 1 D 1 3 6 9 12 35. Ibrahim wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. If Ibrahim pays $174.99, how long will his membership last? A 5 months B 7 months C 12 months D 14 months 3 3 36. What is the value of − 4 − (− 8) ? 1 A −1 8 3 B −8 C 3 8 1 D 18 37. Which expression is equivalent to 14 − 9 ? A −14 + 9 B −9 − 14 C 9 − (−14) D 14 + (−9) 38. A bakery has a fixed cost of $119.75 per day plus $2.25 for each pastry. The bakery would like to keep its daily costs at or below $500 per day. Which inequality shows the maximum number of pastries, p, that can be baked each day? A 2.25 + 119.75𝑝 ≤ 500 B (119.75 + 2.25)𝑝 ≤ 500 C 119.75 + 2.25𝑝 ≤ 500 D 2.25𝑝 − 119.75 ≤ 500 39. Which graph shows a proportional relationship between x and y? 1 5 1 1 40. What is the result when 8 𝑥 − 2 7 is subtracted from 3 4 𝑥 + 7 14 ? 1 11 1 5 A 3 8 𝑥 + 9 14 B 3 8 𝑥 + 4 14 1 5 C −3 8 − 4 14 1 11 D −3 8 𝑥 − 9 14 41. Martin’s class is organizing a concert to raise money for a charity. The graph below shows the relationship between the number of tickets sold, n, and the money collected, m. Which equation shows the relationship that is represented in the graph. A 𝑚 = 20𝑛 B 𝑚 = 25𝑛 C 𝑚 = 200𝑛 D 𝑚 = 500𝑛 42. Patrick read 20 pages of his book in 4 hours. Todd read 25 pages in 5 hours. Did both boys read at the same rate? A No, because 25 𝑝𝑎𝑔𝑒𝑠 B No, because 20 𝑝𝑎𝑔𝑒𝑠 4 ℎ𝑜𝑢𝑟𝑠 4 ℎ𝑜𝑢𝑟𝑠 C Yes, because 25 𝑝𝑎𝑔𝑒𝑠 D Yes, because 20 𝑝𝑎𝑔𝑒𝑠 4 ℎ𝑜𝑢𝑟𝑠 4 ℎ𝑜𝑢𝑟𝑠 > > = = 20 𝑝𝑎𝑔𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 25 𝑝𝑎𝑔𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 20 𝑝𝑎𝑔𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 25 𝑝𝑎𝑔𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 43. Four local stores sell the same brand of cheddar cheese. The table below shows how much each store charges. Which store has the lowest price per pound for the cheese? A Store A B Store B C Store C D Store D 44. Terry sold digital cameras on her web site. She bought the cameras for $45 and included a 70% markup to get the selling price. To the nearest dollar, what was the selling price for one camera? Show your work. Answer $ ____________________ 45. William and Amy are stuffing envelopes for a charity. Today, William stuffed a total of 70 envelopes. This is 10 more than twice the number of envelopes that Amy stuffed. Part A Write an equation that can be used to find the number of envelopes, a, that Amy stuffed. Equation ___________________________________ Part B How many envelopes did Amy stuff? Show your work. Answer ______________________________________ 46. Patricia had less than $9 to spend when she went to the grocery store. She bought 1 pound of tomatoes and wanted to spend the rest of her money on potatoes. One pound of tomatoes costs $2.40, and one pound of potatoes costs $2.20. Part A Write an inequality to show how many pounds of potatoes, x, Patricia can buy. Inequality _________________________________ Part B Solve the inequality from Part A to find how many pounds of potatoes Patricia can buy. Show your work. Answer _______________________________ Extended Response (3 credits each) 47. Paige regularly babysits the 3 neighbor children. She gets paid $4 per hour for each child. Part A Paige babysat the neighbor children for 3 hours. How much money did she earn? Show your work. Answer _______________________ Part B Paige was asked if she was available next week to babysit all 3 children for 8 hours. Paige decided to have a friend help her and will give her half the earnings. How much will Paige and her friend each earn? Show your work. Answer _______________________ Part C The neighbors are having another child. Paige wants to ask for a $0.75 raise per child per hour. If she gets the raise, how much more will she earn watching 4 children at her new rate than watching 3 children at her old rate for 3 hours. Show your work. Answer _________________________ 48. The table shows the distance Ami rode a bike for different amounts of time. Part A In the space below, draw a graph of the data in the table. Make certain you label and number the x- and y-axes properly. Part B Write an equation to represent the relationship between distance, d, and time, t. Part C Explain what the point (1, 0.15) on the graph means. _____________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________ 49. On a road trip, Maura drove at a speed of 60 miles per hour for the first two hours. She then increased her speed by 25%. Part A How fast was Maura driving after she increased her speed? Show your work. Answer _____________________________ miles per hour Part B If Maura continues to drive at her increased speed, write an equation to find the total distance, d, in miles, that Maura will have travelled for any time, x, in hours, longer than 2 hours. Equation ________________________________________ Part C Using the equation from Part B, how far would Maura travel in 5 hours? Show your work. Answer ___________________________________ miles 50. Maurilys earns $9.75 for every hour that she babysits. On Monday, she babysits for 1.8 hours. On Tuesday, she babysits for 534 hours. On Wednesday, she babysits for 8.2 hours. How much money does Maurilys earn in all? Expression: _________________________________________ Answer: ____________________ 51. Mt. Everest, the highest elevation in Asia, is 22,768.2 feet above sea level. The Dead Sea, the lowest elevation, is 2,433.343 feet below sea level. What is the difference between these two elevations? Expression: _________________________________________ Answer: ____________________ 52. Scientists discovered that Antarctica’s average winter temperature was -34.44℃. The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees. What was Antarctica’s highest recorded temperature? Expression: _________________________________________ Answer: ____________________ 53. One night in January, the temperature in Canada is −14.3℉. The next day, the temperature is twothirds of what it was the night before. What is the temperature? Expression: _________________________________________ Answer: ____________________ 54. Ashanti plays a video game in which he starts with 5 points. In round 1, he gains 2512 points; in round 2, he loses 1312 points; and in round 3, he loses another 412 points. What is his final score? Expression: _________________________________________ Answer: ____________________ 55. A building with a height of 15m casts a shadow that is 21m long while a taller building casts a 35m long shadow. What is the height of the taller building? A. 28m B. 31m C. 25m D. 21m 56. The ratio of teachers to students is 1 to 26. Find an equivalent ratio. A. 52 to 2 B. 11 to 36 C. 26 to 1 D. 5 to 130 57. The graph below shows the proportional relationship between velocity and time (in seconds). Which point on the graph represents the unit rate? A. (4,1) B. (1,4) C. (0,0) D. (5,20) 58. A car travels 109 miles using 7 gallons of gas. At that rate, how far can the car travel using 21 gallons of gas? A. 327 mi B. 545 mi C. 436 mi D. 654 mi 59. The table below shows the price for the number of roses indicated. Assuming that the price is proportional to the number of roses purchased, choose the number that correctly completes the table. Number of Roses 3 6 9 12 15 Price ($) 9 18 27 ? 45 A. 36 B. 32 C. 38 D. None of these 60. Identify the graph that represents a proportional relationship. A. B. C. D. None of the above 61. Paul joined a movie rental club. He paid an initiation fee of $12.95, and it cost $0.55 per movie that he rented. Part A Write an equation to show the total amount Paul paid to rent m movies. Equation __________________________________________________________ Part B While he was a member of the club, Paul paid a total of $25.60. How many movies did he rent? Show your work. Answer _______________________ 62. Boni and Kiya are stuffing envelopes for a charity. Today, Boni stuffed a total of 150 envelopes. This is 15 more than three times the number of envelopes that Kiya stuffed. Part A Write an equation that can be used to find the number of envelopes, k, that Kiya stuffed. Equation __________________________________________________________ Part B How many envelopes did Kiya stuff? Show your work. Answer ____________________________________________________ 1 4 63. A chef uses 24 pounds of semolina flour and 8 pound of whole wheat flour for each batch of pasta she makes. One week she uses a total of 11 pounds of flour. Part A Write an equation to solve for b, the number of batches of pasta the chef makes during the week. Equation __________________________________________________________ Part B How many batches of pasta does she make? Show your work. Answer ____________________________________________________ 64. Each month, Amir pays $0.05 per text message that she sends or receives, plus a $15 fee. Amir’s bill for December was $55.00. How many text messages did Taylor send or receive in December? Equation: ________________________________________________________ Solution (Complete Sentence): __________________________________________________________ 65. Banners at the school store were on sale for $2.50 off the regular price. Sayvianna bought 4 banners on sale and paid a total of $33.00. Write and solve an equation to find the regular price of one banner. Equation: ________________________________________________________ Solution (Complete Sentence): __________________________________________________________ 66. Brush Hair Salon charges a stylist $225 per day to rent a station at the salon. Shaniya, a stylist, makes $35.00 on each haircut. Write and solve an equation to help her decide how many haircuts she must give one day to make $1,625.00 after paying rent for her station? Equation: ________________________________________________________ Solution (Complete Sentence): __________________________________________________________ 67. The length of a rectangle is 8 more than 3 times the width inches long, and the width is 5 inches. If the area is 137.5 square inches, write and solve an equation to find the length of the rectangle. Draw and label your picture. 68. The length of a rectangle is (4x + ½ ) inches long, and the width is 2 inches. If the area is 3.4 square inches, write and solve an equation to find the length of the rectangle. 69. Simplify the expression: (7x – 5) – (3x – 2) 70. Cameron and Hamed have new jobs at YumYum’s Ice Cream Parlor. Cameron is Hamed’s manager. In their first year, Cameron will be paid $14 per hour and Hamed will be paid $7 per hour. They have been told that after every year with the company, they will each be given a raise of $2 per hour. Is the relationship between Cameron’s pay and Hamed’s pay rate proportional? Fill in the table below and use it to justify your answer. [4 points] Year 1 2 3 4 5 Cameron’s 14 Pay Hamed’s 7 Pay 1 1 71. The train ride at the Bronx Zoo covers a distance of 2 miles in of an hour. [4 points] 2 3 a. What was the train’s average speed in miles per hour? Answer: _____________________ b. If it travels at the same speed, how far will the train travel in 3 hours? Answer: _____________________ 72. The table below shows the medal count of four countries at the 2012 Summer Olympics. Use the data to complete each statement. [4 points] a. The unit rate of United States of America gold medals to Russian Federation gold medals is about ________ to 1. Answer: _____________________ b. What is the ratio of Australia’s gold medals to their total number of medals? Answer: _____________________ 73. What is 138% of 250? A. 0.152 B. 345 C. 690 D. 950 74. What percent of 80 is 8? F. 0.1% G. 1% H. 10% I. 72% 75. Twenty–four percent of the 25 swim team members are new on the team. How many members are new? A. 6 B. 8 C. 10 D. 12 76. While shopping, Zenayah spent $48. If the amount she spent was 15% of her savings, how much savings did she have before she shopped? F. $40.80 G. $55.20 H. $150 I. $320 77. Youssouf has lunch at a restaurant. If his bill was $14.50 and Youssouf wants to leave a 20% tip, what is the amount he should leave for the tip? A. $2.90 B. $2.50 C. $2.00 D. $1.44 78. An aquarium is on sale for $59.50. If this price represents a 15% discount from the original price, what is the original price to the nearest cent? 79. How many times would you expect to get heads when flipping a coin 60 times? A 60 B 30 C 6 D 1 2 80. Sayvianna is conducting a survey called “TV Preferences of Teenagers.” Which of the following samples is not biased? A 100 female students at PAII B 200 ten-year old students, chosen at random C 150 teenagers in Harlem, chosen at random D The first 15 adults that Sayvianna sees 81. PAII spent $1500 to purchase new school supplies. The amount included a 5% sales tax. What was the price of the school supplies, to the nearest dollar, before tax? A $1422.00 B $1425.00 C $1429.00 D $1575.00 82. Sherlea purchases a brand new iPhone on eBay that costs $750. She negotiates to get 15% off the original price. There is a $10.00 shipping charge to have the item shipped to her house. What is the total amount that Sherlea must pay? A $627.50 B $647.50 C $852.50 D $872.50 83. A 20-ounce box of cereal normally sells for $3.60. During a special promotion, the cereal will be sold in boxes containing 20% more cereal, but will have the same price. What will be the cost per ounce of the larger box? A $0.22 B $0.18 C $0.15 D $0.09 84. Yesterday, Ms. Zhang’s lunch cost $9.80, and she left a $1.47 tip. Today, Ms. Zhang’s lunch cost $12.60. If she tips at the same rate that she did yesterday, how much of a tip should Ms. Zhang leave? A $1.14 B $1.47 C $1.89 D $4.27 85. A bicycle normally sells for $240.00. It is now on sale for $180.00. What is the percent decrease in the price of the bicycle? A 75% B 25% C 33% D 66% 86. Each month, Mekhi pays $0.08 per text message that he sends or receives, plus a $10 fee. Mekhi’s bill for February was $44.56. How many text messages did Mekhi send or receive in March? A 307 B 432 C 557 D 682 1 1 1 87. Which of the following expressions is equivalent to − 4 𝑦 − 2 4 𝑦 + 2 (4 − 2𝑦)? A -3y + 2 1 B -32 𝑦 + 2 C -4y + 4 1 D -42 𝑦 + 2 88. Which of the following represents a 5% tax applied to the price of an item? A 1.05p B p - .05p C .05p D .95p 89. Which situation could be solved using the equation −3 + 3 = 0? A Nancy owes $3 and then charges another $3. B Jason pays $3 on the $3 he owes in fines. C There is a change in temperature from -3℉ to 3℉. D A toy car travels at a rate of 3 meters per minute for 3 minutes. 90. The outside temperature was 8℃. For the next 5 hours the temperature changed at a mean rate of -1.3℃ per hour. Then the temperature changed by +0.9℃ per hour for the next 3 hours. What was the final temperature? a. 7.6℃ b. 17.2℃ c. 4.2℃ d. 11.8℃ 91. The elevation of the surface of the Dead Sea is −629.9 meters. In 2005, the height of Mt. Everest was 7,699.48 meters. How much higher was Mt. Everest? A −8,329.38 𝑚 B −7,069.58 𝑚 C 8,329.38 𝑚 D 7,069.58 𝑚 92. A company’s stock begins the week with a price of $37.98 per share. The price changes by $1.70 each day for 3 days. Then the price changes −$2.10 each day for 4 days. On the last day, the price changes by −$6.95. What is the price per share of the company’s stock after those eight days? A $30.63 B $20.45 C $27.73 D $58.43 3 8 93. What is the value of − − (− 11 a. − 16 1 b. − 16 c. 1 16 d. 11 16 5 )? 16 94. Which expression is equivalent to 8 – 9? A −8 + 9 B −9 − 8 C 9 − (−8) D 8 + (−9) 95. Amiri opened a savings account with an initial deposit $320. Which combination will result in a zero balance in Amiri’s account? A Deposit $350 in the first week and withdraw $30 in the second week B Deposit $30 in the first week and withdraw $350 in the second week C Deposit $320 in the first week and withdraw $320 in the second week D Deposit $30 in the first week and withdraw $320 in the second week 96. The table shows the temperatures and wind-chill temperatures in four towns. Town Bohemia Ronkonkoma Oakdale Sayville Actual Temperature -5℉ 0℉ 8℉ 12℉ Wind-Chill Temperature -16℉ -13℉ -9℉ -12℉ Which town had the greatest difference between the actual temperature and the wind-chill temperature? A Bohemia B Ronkonkoma C Oakdale D Sayville 97. A submarine is 140 meters below sea level. It goes up 25 meters, then goes down 70 meters. What is the submarine’s new position relative to sea level? A −235 𝑚𝑒𝑡𝑒𝑟𝑠 B −45 𝑚𝑒𝑡𝑒𝑟𝑠 C −185 𝑚𝑒𝑡𝑒𝑟𝑠 D −95 𝑚𝑒𝑡𝑒𝑟𝑠 98. Mr. Carroll’s bank balance was $48.17. His deposits and withdrawals since then can be represented as +$40, $13, -$24, +$18.75, +$15. What is Mr. Carroll’s bank balance now? A $36.75 B $84.92 C $110.75 D $158.92 99. Which expression is equivalent to -3(-6b + 5)? A -18 - 15 B -6b - 15 C 6b - 15 D 18b – 15 1 100. Which expression is equivalent to − 2(6x – 5)? A 12x – 2 1 2 1 B -3x + 22 1 C -12x + 32 1 D 3x – 32 101. Which expression is equivalent to 2.8k – 8.4? A 0.07(4k – 12) B 0.7(4k – 12) C 5.6k D -5.6k 2 102. 4 Which expression is equivalent to 5 (4𝑥 + 9)? 9 A5𝑥 + 5 6 11 5 8 5 7 5 8 18 5 B 5𝑥 + C 𝑥+ D 5𝑥 + 103. Devin has 80 books in his collection. If 60% are fiction, how many of the books are nonfiction? A. 48 B. 32 C. 50 D. 13 104. Devin has 80 books in his collection. If 60% are fiction, how many of the books are nonfiction? A 48 B 32 C 50 D 13 3 105. 3 3 Which expression has the same value as − 2 − (2 − 8) + 2 ? 3 3 3 3 3 3 A (2 − 2 ) − 2 + 8 B (2 − 2) + (2 + 8) 3 3 3 C – (2 + 2) − (2 − 8) 3 3 3 D (− 2 + 2) + (2 + 8) 106. What value of x makes the equation true? 6𝑥 1 = 6(− ) −4 2 A -3 B -2 C2 D3 107. The town library is raising money by selling old books for $2 each. Which equation can be used to find the amount of money raised if the number of books sold is known? Let x represent the number of books sold and y represent the number of dollars raised. 108. 𝑥 A y=2 B y = 2x C y=2–x D y=2+x The perimeter of a rectangle is 90 cm. What is the length of the rectangle if the width is 10 cm? A 30 cm B 35 cm C 40 cm D 45 cm 109. Mr. and Mrs. Garcia took their three children to see a matinee on Saturday. They spent a total of $55.50, which included $29.25 at the concession stand. Each of the movie tickets cost the same amount. Which equation shows the cost of each ticket, t? A 5t = 29.25 + 55.5; t = $16.95 B 29.25 + 3t = 55.5; t = $8.75 C 29.25 + 5t = 55.5; t = $5.25 D 6t = 55.5 – 29.25; t = $5.00 110. Shamay spent $200 at a thrift shop. She bought 3 rings for $21 each and spent the rest on 4 equally priced bracelets. How much did each bracelet cost? A $65.75 B $50.00 C $34.25 D $28.57 111. Each month, Nelson pays $0.08 per text message that he sends or receives, plus a $10 fee. Nelson’s bill for February was $44.56. How many text messages did Nelson send or receive in February? 112. A 307 B 432 C 557 D 682 2 Which expression is equivalent to 5 (5𝑥 + 11)? A 2 + 22𝑥 + 11 5 C 2𝑥 + 22 5 B D 7 𝑥 5 10 𝑥 5 + 13 5 113. Each month, Kelsey pays $0.05 per text message that he sends or receives, plus a $10 fee. Kelsey’s bill for February was $44.50. How many text messages did Kelsey send or receive in February? A 307 B 432 C 557 D 690 113. 58 is 29% of what number? A 45 B 124 C 17 D 200 114. A bakery has a fixed cost of $310 per day plus $2.00 for each pastry. The bakery would like to keep its daily cost at or below $600 per day. Which inequality shows the maximum number of pastries, p, that can be baked each day? A 2.00 + 310p ≤ 600; p ≤ 145 B (310 + 2.00) p ≤ 600; p ≤ 145 C 310 + 2.00p ≤ 600; p ≤ 145 D 2.00p – 310 ≤ 600; p ≤ 145 115. The Harrington Family is moving. A rental truck costs $40 plus $0.15 for every mile driven. If the total cost of the moving truck is $235, how many miles was the truck driven? A 1,300 miles B 900 miles C 1,235 miles D 13 miles 116. Tom’s cell phone company charges $30 per month plus $0.05 per text. Tom wants to make sure his monthly bill is less than $60, what is the greatest number of text messages Tom can send in order to accomplish this? A 𝑋 ≤ 600 B 𝑋 < 600 C 𝑋 > 600 D 𝑋 ≥ 600 117. Solve: A x>9 B x > 13.5 C x > 12 D x > 54 x + 16 > 25 118. In a study of a small city in Minnesota, researchers discovered that the amount rainfall was equal to 7 less than three times the amount of snowfall. Which answer choice represents the amount of rainfall if s stands for the amount of snowfall? A 7 – 3s B 3s 7 C 3(s + 7) D 3s -7 119. What is 7.5% of 100? A .075 B 750 C 75 D 7.5 120. Marcel sold 13 popcorn buckets and 13 fruit baskets for a fundraiser. The fruit baskets cost $20.75 each. If Marcel raised a total of $468, how much did each bucket of popcorn cost? A $15.25 B $33.00 C $24.59 D $36.00 121. A Volleyball team won 2 games and lost 6 games. What percent did they win? A 33.3% B 𝟕𝟓% C 14% D 𝟐𝟓% 122. How many times would you expect to get heads when flipping a coin 60 times? E 60 F 30 G 6 H 1 2 123. Sayvianna is conducting a survey called “TV Preferences of Teenagers.” Which of the following samples is not biased? E 100 female students at PAII F 200 ten-year old students, chosen at random G 150 teenagers in Harlem, chosen at random H The first 15 adults that Sayvianna sees 124. PAII spent $1500 to purchase new school supplies. The amount included a 5% sales tax. What was the price of the school supplies, to the nearest dollar, before tax? E $1422.00 G. $1429.00 F. $1425.00 H. $1575.00 125. Sherlea purchases a brand new iPhone on eBay that costs $750. She negotiates to get 15% off the original price. There is a $10.00 shipping charge to have the item shipped to her house. What is the total amount that Sherlea must pay? E $627.50 F $647.50 G $852.50 H $872.50 126. A 20-ounce box of cereal normally sells for $3.60. During a special promotion, the cereal will be sold in boxes containing 20% more cereal, but will have the same price. What will be the cost per ounce of the larger box? E $0.22 F $0.18 G $0.15 H $0.09 127. Yesterday, Ms. Zhang’s lunch cost $9.80, and she left a $1.47 tip. Today, Ms. Zhang’s lunch cost $12.60. If she tips at the same rate that she did yesterday, how much of a tip should Ms. Zhang leave? E $1.14 F $1.47 G $1.89 H $4.27 128. A bicycle normally sells for $240.00. It is now on sale for $180.00. What is the percent decrease in the price of the bicycle? E 75% F. 25% G. 33% H. 66%