QUARTER 2 TEST REVIEW (CHAPTERS 10, 2, 3, 7, 6.1) 1. Write a ratio that is equivalent to 3/5? 2. Jessie’s garden has 18 tomato plants, 12 pea plants, and 20 bean plants. What is the ratio of pea plants to total number of plants? b. Dylan has 75 plants in his garden. His ratio of peas plants to total plants is the equivalent to (same as) Jessie’s. How many pea plants does Dylan have in his garden? 3. Julia is making paste (glue) for an art project using flour and water. The recipe uses 5 cups of flour for every 2 cups of water. She needs to have a total of 56 cups of paste, how much flour will she need? 1c F 1c W 1c F 1c F 1c F 1c F Cups of Flour:________ 1c W 4. Melissa is making a quilt (blanket) using squares of cloth (fabric) in the pattern shown below. a. What is the ratio of squares to total squares? ___________ b. The entire quilt will have a total of 135 squares. How many squares will it have? Miles 5. Complete the ratio table. Gallon 6. Proportional or Not? Prove your answer. 7. Solve for the missing value: 6 7 4 9 108 1 6 12 30 = 18 24 x = 108 8. Mixture A is made up of 16 containers (cans) of paint, 6 are yellow 10 are blue. Mixture B is made up of 24 containers (cans) of paint, 9 are yellow and 15 are blue. Is mixture A proportional to mixture B? How do you know? (Show your work!) 9. Parties R Us suggests 8 slices of pizza will serve 3 people. Set up a proportion to solve for how many slices of pizza should be ordered for 288 people. 10. A map has a scale of 3 centimeters equals 120 miles. The town that Janet’s grandma lives in is 5.5 cm from Janet’s town. Approximately how many miles separate the towns? (How many miles apart are the cities?) 11. A 18 foot tall flag pole casts (makes) a 6 foot shadow on the ground. A nearby tree casts (makes) a 15 foot shadow. How tall is the tree? 12. Kyle made a new character for a computer game. The new character, Bernice, is at the right. Make a ratio of Bernice's width to her height. 13. Kyle decides she will grow by a scale factor of 6 and be called "Bernice the Big.” What is "Bernice the Big’s” width?_________________________ What is "Bernice the Big’s height?_________________________ 14. Make a proportion using Bernice’s width and height to "Bernice the Big’s” width and height. 15. How do the areas of Bernice and "Bernice the Big’s” compare (whose area is larger and by how many times larger?) 16. Triangle P is mathematically similar to Triangle Q. Find the following values. . x = ________ y = _________ Scale Factor ______ 17. Rectangle A is mathematically similar to Rectangle B. Find the following values x= _______ Scale factor ________ 6 14 2 X 18. Manny finished 8 of the 15 homework exercises assigned. Janelle has finished 9 of the 12 exercises assigned in her class. Who is closer to being finished? 19. In Woodrow Wilson Middle School, three-fourths of the students study a foreign language. a. Suppose 400 students study a foreign language. How many students attend Woodrow Wilson Middle School? b. Of the students studying a foreign language, 55 % study Spanish. How many students study Spanish 20. Joanna collects stamps and recently increased her stamp collection by 10%. Before the increase Joanna had 1,440 stamps. How many does she have now? 21. In 2000, about 24,830,000 children between the ages of 10 and 14 lived in the United States. That was about 4.3% of the entire U.S. population. Find the 2000 U.S. population. 22. Shannon paid $5400 in taxes as a lab technician, which was 18% of her annual income. What was her income last year? 23. Rowan now earns $8.50 per hour. This is 125% of what he earned last year. What did he earn per hour last year? 24. A store is selling a 7-pound bag of potatoes for $5.10. What is the cost per pound of potatoes? 25. Target sells a 12-pack of toilet paper for $6.75. Walmart sells a 30-pack of toilet paper for $13.75. Which store has the better price per roll (most economical)? Circle one: Target or Walmart 26. Heath is going to a Twins baseball game with his church youth group. The regular cost of a ticket is $19.50 per person. His youth group leader bought the tickets at a special group rate. The total cost was $502.50 for all 30 people to attend the game. a. What was the cost per ticket (unit rate) to attend the game at the group rate? b. How much money did each person save on their ticket because they had the special group rate? 27. Sally bought a pair of fancy shoes in France for 150 Euros. The conversion rate is 0.74 Euros per U.S. dollar. How much would those have shoes cost in the U.S. dollars? 28. Tommy received a $350 gift for his birthday. He wanted to convert it to pesos to take on vacation in Mexico. The conversion rate is $1 = 13.20 pesos. How many pesos will he get for his dollars? 29. Holiday offers Diet Coke in 3 sizes. Which size is the best buy? Size Price 12 fl.oz. $0.55 20 fl.oz. $1.00 32 fl.oz. $1.60 30. Give a factor of 12 (do not use 12) 31. Give a multiple of 12 (do not use 12) 32. 33.. Evaluate each expression without using a calculator. 28. 160 29. 341 30. 23 3 2 31 .( ) 4 1 2 32 4 2 32. ( ) ∙ ( ) 29. Which answer is the scientific notation for 15,000,000,000? a) 1.5 1010 b) 1.5 109 c) 15 1010 d) 15 109 30. Which is the standard form for 6.08 105? a) 0.0000608 b) 60.8 d) 608,000 c) 6080 23 1 2 3 5 33. ( ) ∙ ( ) 31. Is 6.29 107 in written in scientific notation? a) No, because it doesn’t have a negative exponent. b) No, because there are two digits after the decimal point, 2 and 9. c) Yes, because it has an exponent. d) Yes, because 6 is the only digit before the decimal point and it has 107. 32. Change 3,715,000,000,000 into scientific notation. 33. Change 4.26 109 into standard form. 34. The distance from the planet Earth to the sun is 150,000,000 kilometers. Write this distance in scientific notation. 35. The volume of a pool of liquid is 8 x 10 5 liter. Write this number in standard form. 36. Cara deposited $8,000 in a savings account at the interest rate of 5% per year. How much simple interest will she earn in 4 years? 37. Andy invested $8,500 at an annual rate of 4%. How long will it take until Andy earns $2,720 in simple interest? 38. Darcy deposited $2500 in her bank account. After 6 years, she earned $675. Find the simple interest rate the account earned. 39. Kathy’s interest she owed was $8,200. This loan was given to her at a rate of 4% simple interest for 4 years. How much money did he borrow originally? 40. Find the total balance after $3,000 is invested at 8% compounded annually for 5 years. 41. Find the total balance after $10,000 is invested at 6% compounded annually for 4 years. 42. 30 is decreased to 26 43. $48.50 increased to $50.30 44. The complete set of all seven Harry Potter books is 24% off the original (regular) cost of $168. Find the sale price. 45. A meal cost $38.40. The customer wants to leave the waitress (server) an 18% tip. What is the total cost of the meal (meal plus tip)? 46. Jude takes out a loan for $600 at 5% simple interest for 6 months. What is the total (principle and interest) he owes at the end of the six months? 47. -5 + 12 48. -7 – (-4) 49. -2 + -9 51. -4 – 15 52. 6 + (-8) 53. -2 – (-5) Write the addition and subtraction equation represented by the drawing. 55. End: -6 Start: 3 50. 2 – (-6) 54. 6 + (-6) Give 2 numbers that make the statement true, then graph the inequality. 56. x < 5 a.________ b._______ 57. -3 ≤ x a.________ b._______ Circle the answer: Will the following sums and differences be…. 58. Negative number minus positive number. Negative – Positive = What type of number Always negative Always positive Sometimes negative, sometimes positive, and sometimes zero 59. Negative number plus negative number. Negative + Negative = What type of number Always negative Always positive Sometimes negative, sometimes positive, and sometimes zero 60. -4 · -7 61. -72 ÷ -12 62. 8 · -5 64. -54 9 65. 66. -11 · 3 63. (-3)2 -32 67. -|-8| Use this data for the following measures of central tendency questions. -2, 4, 1, -2, -1, 2, 5, 0, 6 Maximum? Minimum? Range? Mode? Median? Mean? 68.) 3.241 Natural Whole Integer Rational 69.) 42 Natural Whole Integer Rational 70.) –5 Natural Whole Integer Rational 71.) Circle all the numbers that are less than -1 and greater than -1.5? -1.003 − 5 − 4 21 − 8 112 100 -2.194 − 1,087 1,000 none 72.) Circle all the numbers that are less than -1 and greater than -1.1? -1.003 − 5 − 4 21 − 8 112 100 -2.194 − 1,087 1,000 none 73). Circle all the numbers that are less than -1 and greater than -1.01? -1.003 − 5 − 4 21 − 8 112 100 -2.194 − 1,087 1,000 none 74.) Graph and label each of the numbers below on a number line. 3 8 0.655 4 9 88 100 What 2 whole numbers is the square root between? 75. √83 _______ and ________ 76. √8 ________ and Find the square of each number. 78. 5.2 79. _________ 77. √39 ________ and _________ 6 7 80. √64 Circle one: Rational or Irrational 81. √1.44 Circle one: Rational or Irrational 82. √84 Circle one: Rational or Irrational 83. √1/3 Circle one: Rational or Irrational 84. To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 25 meters south and 50 meters east. How many meters would be saved if it were possible to walk through the pond? 85. In a computer catalog, a computer monitor is listed as being 32 inches. This distance is the diagonal distance across the screen. If the screen measures 20 inches in height, what is the actual width of the screen? 86. Seth made a small rectangular table for his workroom. The sides of the table are 5" and 12". If the diagonal of the table measures 13", is the table square? A table which is "square" has right angles at the corners. 87. How far up a wall will an 15 m ladder reach, if the foot of the ladder must be 3 m from the base of the wall? 88. A bag contains 15 blocks labeled with the numbers 1 to15. One block is drawn at random from the bag. What is the probability that the block is 12? What is the probability that the block is a number greater than 8? What is the probability that the block is 25? What is the probability that the block is odd? What is the probability that the block is even? What is the probability that the block is a multiple of 3? What is the probability that the block is not a single digit? (single digits include 1, 2, 3, 4, 5, 6, 7, 8, 9) 89. Cassie has tossed a coin three times and obtained three tails. If the coin is fair, is the probability that it will come up tails on the fourth toss greater, less, or the same as the probability that it will come up heads? Greater Less Same 90. Shrek is having a dinner party. He is deciding on the menu. Main Dish Roast Pig (not one of the 3 little ones) Roast Beast (not Belle’s friend) Veggie Onions Peas Squash Dessert Swamp Water Pudding Gingerbread Muffins a. Make a tree diagram (or an organized list) of all the possible meal combinations. b. What is the chance he selects a meal containing roast pig? c. What is the probability that the dessert will be a grain (gingerbread or muffin)? d. What is the probability that he will eat onions? e. What is the probability that he will not have roast beast? f. What is the probability that the meal will contain both roast pig and gingerbread?