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CRCT Review (TM82011) Name:_____________________________________________ Date:________________________ 1. Two coins are tossed at the same time. What is the probability they both land on tails? A. B. C. D. 2. Wrangell–St. Elias National Park and Preserve in Alaska covers 13,200,000 acres. What is 13,200,000 written in scientific notation? A. B. C. D. 3. In Mr. Montgomery's class, there are 8 boys and 12 girls. If Mr. Montgomery selects 1 student from his class at random, what is the probability that the student will be a girl? A. B. C. D. . 4. Sean has a spinner and a bag of marbles. The spinner is evenly divided into 8 sections. The bag is filled with 6 different colored marbles. Sean will spin the spinner and randomly select a marble. How many possible outcomes does Sean have? A. 14 B. 28 C. 36 D. 48 5. Jan has a cookie jar that contains five peanut butter cookies, eight chocolate chip cookies, and twelve oatmeal raisin cookies. Jan reaches in and grabs a cookie, what is the probability that she will get a chocolate chip cookie? A. B. C. D. 6. There are five different colors of lollipops in a jar: 4 orange, 3 green, 4 red, 2 yellow, and 2 purple. Roberta draws out one lollipop, replaces it, and then draws out a second lollipop. What is the probability that she got a green lollipop and then a purple lollipop? A. B. C. D. 7. Jenny wanted to know if people were more likely to beep their horns at a certain time during the day. One night she recorded the number of times she heard a car horn during one hour intervals. What should be the value of the missing y-coordinate so that the data can be modeled with a linear function? A. 24 B. 25 C. 26 D. 27 8. Given the scatter plot, determine the line of best fit. A. y = 1.1x + 4 B. y = -1.1x + 4 C. y = 0.9x + 3 D. y = -0.9x + 3 9. Joyce needs to gather data that can be modeled with a linear function. Which situation would give Joyce the data she needs? A. the area of a square and the length of its side B. the area of a circle and the length of the its radius C. the perimeter of a square and the length of its side D. the volume of a cylinder and the length of its radius 10. Which linear function best approximates the data? A. y = 0.67x + 38 B. y = -0.67x + 38 C. y = 1.52x + 38 D. y = -1.52x + 38 11. Alyssa is building a birdhouse. She needs a right triangle for the roof. Which triangle should Alyssa use? A. B. C. D. 12. Sue left her house traveling due west towards the store. After 50 yards she traveled due north 120 yards to the store. When she left the store she cut across the field and traveled along a straight path. How much shorter was the path Sue took home then the path she took to the store? A. 40 yards B. 61 yards C. 70 yards D. 109 yards 13. A right triangle is shaded in the diagram. The area of two squares is shown. What is the area of the third square? A. 21 ft2 B. 35 ft2 C. 441 ft2 D. 1,241 ft2 14. For a line, as the x-values increase by 1, the y-values increase by 4. Find the slope of this line. A. -4 B. - C. D. 4 15. Michael runs 3.5 miles in 30 minutes. If he continues at this rate for 2 hours, determine his rate of change. A. 3.5 miles/hour B. 7 miles/hour C. 14 miles/hour D. 10 miles/hour 16. A city park has two congruent flowerbeds. The flowerbeds are shown as triangles PQR and STU. Which angle is congruent to P? A. R B. S C. T D. U 17. The formula d = rt can be used to calculate the distance (d) an object travels, using its rate of speed r and the time it travels t. Using this formula, which shows the rate the object traveled? A. d + t B. d ÷ t C. t + d D. t ÷ d 18. At a concession stand, a hamburger is 25 cents more than twice the cost of a hotdog. If h represents the cost of a hamburger and d represents the cost of a hotdog, which expression represents the cost of the hamburger in relation to the cost of the hotdog? A. d + 0.25 B. 2d C. 2d - 0.25 D. 2d + 0.25 19. A jet ski rental company charges a $50 deposit and $30 for each hour on the jet ski. Mark has $140 dollars. Write an inequality that represents the maximum number of hours that Mark can ride the jet ski. A. 80h ≥ 140 B. 30h ≥ 190 C. 50 + 30h ≤ 140 D. 50 + 30h < 90 20. The volleyball team is having a carwash fundraiser. The cost of each carwash is $5. They are also selling season ticket packages to their upcoming volleyball season for $40 each. The goal of the team is to make at least $2000 from the combined totals of the two fundraisers. So far, the team has sold 41 season ticket packages. How many cars must they wash in order to meet the team goal of $2000? A. 728 cars. B. 328 cars. C. 72 cars. D. 47 cars. 21. When graphed, which situation's data would be linear? A. The temperature of the roof of a house every hour for 24 hours. B. A person's body temperature every hour for a year. C. The temperature of water rising 3°F every hour. D. The daily temperature of a city for a year. 22. Jane charges $15 for each lawn she mows plus $5 per hour she works. Which graph models how much Jane charges for any one lawn? A. B. C. D. 23. 3, 5, 7, 9, 11, 13,... The arithmetic sequence represents the values from x = 1 through x = 6. Which linear function matches this sequence? A. y = 2x + 1 B. y = 3x C. y = x + 2 D. y = 3x - 2 24. 3, 7, 11, 15, 19,... The arithmetic sequence for x = 1 through x = 5 is shown. Determine the slope of the associated linear function. A. -4 B. - C. D. 4 25. Adrian has a square bedroom. The area of the room is 169 ft 2. What is the length of one side of Adrian's bedroom? A. 6 ft B. 13 ft C. 42 ft D. 84 ft 26. A square-shaped playground has an area of 290 ft2. Approximately, how long is one side of the playground? A. 12 ft B. 17 ft C. 36 ft D. 73 ft 27. The length of a square's diagonal is (15) cm. Which letter on the number line represent this value? A. A B. B C. C D. D 28. 3, 6, 9, 12, 15, 18,... The arithmetic sequence represents the values from x = 1 through 6. Which linear function matches the series? A. y = 2x + 1 B. y = 3x C. y = x + 2 D. y = 3x - 2 29. Why is one of the square roots of any positive number less than zero? A. because a negative number times a negative number is a positive number B. because a negative number times a negative number is a negative number C. because a negative number times a positive number is a negative number D. because a negative number times a positive number is a positive number 30. Jordan drove a3 miles per hour for a5 hours. How far did Jordan drive? A. a2 miles B. a8 miles C. a12 miles D. a15 miles 31. Alyssa estimated that there are five hundred twenty billion grains of sand on a beach. How is this number written in scientific notation? A. 5.2 × 109 B. 5.2 × 1010 C. 5.2 × 1011 D. 5.2 × 1012 32. China has a population of approximately 1.3 x 10 9 people. The United states has a population of approximately 3 x 10 8 people. How many more people live in China than in the United States? A. 107 people B. 108 people C. 109 people D. 1010 people 33. A water tower holds 2,340,000 gallons of water. Express this number in correct scientific notation. A. 2.34 × 10-6 B. 23.4 × 105 C. 2.34 × 106 D. 2.34 × 107 34. Joanne has 2a3 number of animals. Ronnie has 3a3 number of animals. Odessa has a4 number of animals. How many animals do Joanne, Ronnie, and Odessa have altogether? A. 5a10 B. 6a10 C. 5a3 + a4 D. 6a3 + a4 35. Isaac collected data for an experiment. The water level of his experiment increased at a constant rate. Isaac could model his data with the equation -3x + y = 1. Which is the graph of Isaac's data? . 36. On a test, Cody loses 2 points for every incorrect answer. He gains 1 point for every correct answer. Which graph BEST represents all possible combinations of incorrect answers (x) and correct answers (y) if Cody's total score is 3? 37. Trevor wants to buy one magazine and some books. The magazine costs $3. The books cost $5 each. If Trevor spends y amount of dollars, which equation shows how many books (x) he can buy? A. y = x + 2 B. y = x + 8 C. y = 3x + 5 D. y = 5x + 3 38. What are the x and y values in this system of equations? 2x + 4y = 8 2y = x + 8 A. (-2, 1) B. (-2, 3) C. (-4, 2) D. (-4, 4) 39. Amy needed to rent a car for a day so she researched two rental companies. Company A charges a flat rate of $25 plus $0.15 for every mile she drove the car. Company B charges a flat rate of $50 plus $0.05 for every mile she drove the car. If Amy had to drive a total of 370 miles, which rental car company would be a better deal and by how much? A. Company A by $12 B. Company A by $80.50 C. Company B by $12 D. Company B by $68.50 40. Sophia has 8 books in her locker. All the books are either school books or personal books. She has three times as many school books than personal books. How many school books does Sophia have in her locker? A. 2 B. 3 C. 6 D. 7 41. A Venn Diagram has three main categories. How many total groups can be formed from the three main categories? A. 5 B. 6 C. 7 D. 8 42. Given the Venn Diagram, how many students play either basketball or football? A. 5 B. 6 C. 10 D. 15 43. Abby has 20 boxes numbered 1 to 20. She needs to take out the boxes that are even numbered and are also numbered with a multiple of 3. Which set shows all the numbers of the boxes Abby needs to take out? A. {2, 3} B. {6, 12, 18} C. {3, 6, 9, 12, 15, 18} D. {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} 44. Students were asked for their favorite type of television show, comedy, drama, or both. Each student was given a number and placed in the Venn Diagram. Which group of students is the complement of Comedy ? A. 1, 3, 5, 6, 7, 13 B. 1, 2, 3, 4, 5, 6, 7, 8, 13, 14 C. 2, 4, 8, 9, 10, 11, 12, 13, 14 D. 9, 10, 11, 12, 13 45. Margo is designing a band formation for a halftime ceremony at a football game. This drawing shows where the band members will stand during the ceremony. How many yards apart are the band members standing at points A and C? A. 11 B. 33 C. 44 D. 55 46. These are the sides of a number cube used in a game. Sam will win the game he is playing if he gets a number less than 3 the next time he rolls the number cube. What is the probability that Sam will win the game on his next roll? 2 A. B. C. D. 3 47. Which equation is true for all pairs of values in the table? A. B. C. D. 48. The table shows p, the charge in cents, for a long-distance phone call that lasts t minutes. Which describes this relationship? A. p = 20t + 12 B. p = 8t + 12 C. p = 11t D. p = 20t 49. Which graph corresponds to this table? A. B. C. D. 50. The table shows the relationship between j, Jerry's age and t, Tara's age. Which of the following describes the relationship? A. t = j + 6 B. t = 2j + 1 C. t = 2j + 2 D. t = 6j 51. Which graph best represents the equation of the line with slope of 1 and y-intercept of –3? A. B. C. D. 52. Which line on the graph below has a negative slope? A. A B. B C. C D. D 53. The line shown contains (–1, 2) and (1, –1). What is the slope of the line? A. B. C. D. 54. What is the slope of the line ? A. B. C. D. 55. Which is an equation of the line with slope that passes through the point (4, –1)? A. B. C. D. 56. Which equation fits the data in the table? A. y = x – 2 B. y = 2x – 1 C. y = 3x – 3 D. y = x + 1 57. Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend baby-sitting? A. 11 B. 9 C. 7 D. 6 58. What is the solution to the system of equations shown above? A. x = 6, y = 1 B. x = 4, y = 3 C. x = 1, y = 6 D. x = –1, y = 7 59. The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Mr. Steele purchased 9 tickets (some student and some adult) for $31. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets Mr. Steele purchased? A. B. C. D. 60. What is the solution to the inequality shown below? A. B. C. D. 61. A consulting engineer bills his customers $90 for each hour he works. If a client's bill is $955, which equation could be used to find the number of hours worked? A. B. C. D. 62. The speed of sound in water is meters per second. The speed of sound in air is meters per second. How much faster does sound travel in water than in air? A. B. C. D. 63. The graph of the function f(x) = –3x + 3 is shown. What is the value of f(3)? A. 3 B. 0 C. –2 D. –6 64. The table gives the average per capita income, d, in a region of the country as a function of the percent unemployed, u. Which equation represents this data algebraically? A. d = 20,000 + 1,000u B. d = 22,000 + 500u C. d = 23,000 - 500u D. d = 25,000 - 1,500u 65. Which diagram shows all the possible combinations of 1 shirt, 1 pair of shorts, and 1 kind of shoes? A. B. C. D. 66. Which of the following best represents ? A number between — A. 3 and 4 B. 6 and 7 C. 7 and 8 D. 8 and 10 67. In the diagram below, lines l and p intersect. If the measure of is , what is the measure of ? A. B. C. D. 68. In a bag of candies there are 13 red candies, 13 green candies, 13 yellow candies, and 13 blue candies. If you choose 1 candy from the bag, what is the probability the candy will not be blue? A. B. C. D. 69. Which is a graph of a line that contains all the points in this table of ordered pairs? A. B. C. D. 70. Which graph corresponds to y = 2x – 2? A. B. C. D. 71. Which is the function described by the table of ordered pairs? A. y = x + 1 B. y = 3x C. y = 2x + 3 D. y = x + 13 72. What is the solution to 4(2x – 3) = 2(3x + 1)? A. –5 B. 1 C. 7 D. 10 73. What is the solution to A. B. C. D. 74. Which equation most likely represents the line shown on the graph? A. B. C. D. 75. Which is the solution to the system of equations shown? A. B. C. D. 76. Which is equivalent to A. B. C. D. 77. When the input is what is the output? A. B. C. D. 78. Which is a zero of the function f(x) = 2x – 10? A. 10 B. 8 C. 5 D. –5 79. A delivery service company maintains several vehicles. The table summarizes the cost for auto insurance related to the number of vehicles insured. Using the equation of a line of best fit for the data, which is the closest estimate of the total cost of insuring eight vehicles? A. $5,050 B. $5,200 C. $5,500 D. $5,950 80. An engine is tested for torque output at different revolutions per minute. Which equation most closely defines the line of best fit for the data? A. y = 4.1x + 414 B. y = –4.1x + 414 C. y = 3.1x + 383 D. y = –3.1x + 383 81. A windlass is used to pull a boat to the dock. The rope is attached to the boat at a point 7 feet below the level of the windlass. What is the distance from the boat to the dock when the rope is 25 feet? A. 25 ft B. 24 ft C. 18 ft D. 7 ft 82. Which graph best represents the line A. B. C. D. 83. Chris put $1,500 in a savings account at an annual interest rate of 5%. If Chris does not deposit or withdraw any money, what is the amount of interest Chris will earn the first year her money is in the savings account? A. $750 B. $500 C. $75 D. $50 84. Daphne wrote the fractional part of the quizzes she answered correctly. Which lists these quiz scores in order from least to greatest? A. B. C. D. 85. The difference in cost between a large bag of chips and a small bag of chips was 90 . Alicia bought 5 large bags and 3 small bags of chips for her party and spent $17.22. What was the cost of a small bag of chips? A. $5.74 B. $2.49 C. $2.15 D. $1.59 86 A. 8 B. 4 C. 2 D. 1 87. Katie is going to carpet her living room floor and drew the diagram shown. \\ What is the minimum number of square feet of carpet she will need? A. 51 sq ft B. 60 sq ft C. 194 sq ft D. 244 sq ft 88. Which is equivalent to the expression shown below? A. B. C. D. 89. A. B. C. D. 90. Scotty is making a train of dominoes on the floor. How many dominoes are needed to complete the triangle? A. 6 B. 12 C. 18 D. 36 91. Mr. Warren requires his students to read 2 books: 1 book from list #1 and 1 book from list #2. What is the total number of different combinations for the 2 books? A. 9 B. 6 C. 2 D. 1 92. A business sold for 45 million dollars. What is 45 million expressed in scientific notation? A. B. C. D. 93. Mark has a basket of 40 yellow tennis balls and 35 white tennis balls. What is the probability that the next tennis ball he randomly chooses will be yellow? A. B. C. D. Answer Key 1. C) 21. C) The temperature of water rising 3°F every hour. 2. C) 3. B) 36. C) 37. D) y = 5x + 3 4. D) 48 22. A) 38. B) (-2, 3) 23. A) y = 2x + 1 39. C) Company B by $12 5. B) 24. D) 4 40. C) 6 6. B) 25. B) 13 ft 41. C) 7 7. C) 26 26. B) 17 ft 42. D) 15 8. A) y = 1.1x + 4 27. B) B 43. B) {6, 12, 18} 9. C) the perimeter of a square and the 28. B) y = 3x 44. D) 9, 10, 11, 12, 13 length of its side 29. A) because a negative number 45. B) 33 10. D) y = -1.52x + 38 times a negative number is a positive number 30. B) a8 miles 46. B) 31. C) 5.2 × 1011 32. C) 109 people 47. A) 11. B) 6 33. C) 2.34 × 10 12. A) 40 yards 48. B) p = 8t + 12 34. C) 5a3 + a4 2 13. C) 441 ft 14. D) 4 15. B) 7 miles/hour 16. B) S 35. A) 17. B) d ÷ t 49. C) 18. D) 2d + 0.25 19. C) 50 + 30h 140 50. A) t = j + 6 20. C) 72 cars. 66. B) 6 and 7 79. B) $5,200 67. C) 80. D) y = –3.1x + 383 51. D) 81. B) 24 ft 68. D) 52. A) A 53. D) 82. B) 54. D) 69. C) 83. C) $75 55. D) 84. D) 56. B) y = 2x – 1 85. D) $1.59 57. A) 11 70. A) 86. C) 2 58. A) x = 6, y = 1 71. C) y = 2x + 3 87. C) 194 sq ft 72. C) 7 59. B) 73. D) 88. D) 60. B) 89. D) 74. D) 61. C) 90. A) 6 75. C) 62. D) 91. A) 9 63. D) –6 76. A) 92. B) 64. C) d = 23,000 - 500u 77. B) 93. C) 78. C) 5 65. C)

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