CHESAPEAKE SCIENCE POINT PUBLIC CHARTER SCHOOL 7321 Parkway Drive South, Hanover, MD 21076 Phone: (443) 7575-CSP Fax: (443) 757-5280 Web: http://www.mycsp.org Name of the student: _____________________ SUMMER ASSIGNMENT Multiple Choice Identify the choice that best completes the statement or answers the question. Find each value. 4. If the population of an ant hill doubles every 30 days and there are currently 10 ants living in the ant hill, what will the ant hill population be in 60 days? 1. a. 20 ants a. 10 b. 100 ants b. 91 c. 80 ants c. 9 d. 40 ants d. 0 2. Express each number by using an exponent and the given base. 5, base 5 Find each product. 5. a. b. c. d. a. b. c. d. 7,000 280 700,000 70,000 a. b. c. d. 700 7,000 70,000 210 6. 3. Sunlight Intensity Category Brightness Dim 2 Illuminated 3 Radiant 4 Dazzling 5 Suppose you have researched and developed a scale that indicates the brightness, or intensity, of the sunlight on any given day. Each category in the table is 4 times brighter than the next lower category. For example, a day that is dazzling is 4 times brighter than a day that is radiant. How many times brighter is a dazzling day than a dim day? a. 256 times brighter b. 3 times brighter c. 16 times brighter d. 64 times brighter 7. Express the number 83,900,000 in scientific notation. a. b. 0 c. d. 8.39 107 8. A comet is about 4.4 105 miles from Earth. Write this number in standard form. a. 44,000 miles b. 440,000 miles c. 4,400,000 miles d. 0 Evaluate each of the following. 9. 78 – 6 6 2 + 6 a. 27 b. 222 c. 73.5 d. 66 10. a. b. c. d. 3,200 80 12 56 a. b. c. d. 3.24 9 3 6 11. 14. For summer yard work, Emily earns $20 per yard. Emily worked on 8 yards each day on Friday and Saturday and on 3 yards each day on Monday, Tuesday, and Thursday. Evaluate the expression to find out how much Emily earned in all. a. Emily earned $1,320. b. Emily earned $25. c. Emily earned $500. d. Emily earned $1,140. Write the prime factorization of each number. 15. 12. 55 – (1 + 14) 5 a. b. c. d. 8 56.8 52 58 13. Pablo is earning money over the summer by caring for cats while people are on vacation. Pablo earns $30 per week per pet. The table shows the number of cats cared for per week during July. Evaluate the expression to find out how much Pablo earned for the month of July. a. The prime factorization of 40 is b. Pets Cared for in July Week Pets Week 1 8 Week 2 3 Week 3 3 Week 4 3 The prime factorization of 40 is c. How much did Pablo earn during the month of July? a. Pablo earned $510 during July. b. Pablo earned $990 during July. c. Pablo earned $47 during July. d. Pablo earned $278 during July. The prime factorization of 40 is d. 20. Find the least common multiple (LCM) of 6, 5, and 20. a. The LCM is 120. b. The LCM is 20. c. The LCM is 30. d. The LCM is 60. The prime factorization of 40 is 16. 150 a. b. c. d. The prime factorization of 150 is The prime factorization of 150 is The prime factorization of 150 is The prime factorization of 150 is 17. Find the greatest common factor (GCF) of 66, 44, and 143. a. The GCF is 6. b. The GCF is 11. c. The GCF is 4. d. The GCF is 10. 18. The seventh-graders are preparing snack bags for the First-Graders’ Picnic. They have 56 cookies and 70 carrot sticks. What is the greatest number of snack bags they can prepare using all of the cookies and carrot sticks? a. They can prepare 56 snack bags. b. They can prepare 7 snack bags. c. They can prepare 70 snack bags. d. They can prepare 14 snack bags. 19. Kate would like to plant a garden where each row will have the same combination of plants. If Kate has 80 tomato plants, 45 cucumber plants, and 55 basil plants, what is the greatest number of rows the garden can have if he uses all of the plants? a. The garden can have 16 rows. b. The garden can have 5 rows. c. The garden can have 4 rows. d. The garden can have 9 rows. 21. Antonia visits the park every 6 days and goes to the library every 8 days. If Antonia gets to do both of these today, how many days will pass before Antonia gets to do them both on the same day again? a. It will be 24 days. b. It will be 14 days. c. It will be 48 days. d. It will be 2 days. 22. Elena cleans the hamster cage every 5 days, brushes the dog every 9 days, and cleans the frog aquarium every 6 days. If Elena does all three today, how many days will pass before Elena takes care of all three of these pets on the same day again? a. It will be 9 days. b. It will be 90 days. c. It will be 54 days. d. It will be 30 days. Evaluate each expression for the given value of the variable. 23. x + 16 for x = 23 a. 7 b. 368 c. 23x + 16 d. 39 24. 5z – 3 for z = 7 a. 7z – 3 b. 20 c. 32 d. 54 25. z 9 + z for z = 45 a. 81 b. 1 6 c. 50 d. 45z 9 + 45z 26. a. b. 36 c. 30 d. 42 b. c. 300 – t d. 27. Evaluate the following expression for the given values of the variables. 30. The popcorn machine at the movie theater can produce m bags of popcorn every 30 minutes. Write an algebraic expression to show how many bags of popcorn it can produce in 16 hours. a. for x = and y = 7 a. 37 b. 37 c. 59 d. b. 32m c. 28. Write this phrase as an algebraic expression. d. 16m 13 more than a number a. 13 + t b. c. t – 13t d. 29. Ramon paints t planks each day of a fence which has a total of 300 planks. Write an algebraic expression for how many days it will take Ramon to finish painting the fence. a. 300t 31. Rosa earns $90 delivering flowers, but he then spends m dollars at the bookstore. Write an algebraic expression to find how much money Rosa has left. a. 90 – m b. m – 90 c. d. 32. Identify like terms in the list: a. b. 4t and 4z c. d. 33. Combine like terms. a. b. c. d. x x 34. Write an expression for the perimeter of the triangle shown. Combine like terms in the expression. x a. 3x b. c. x + 3 d. x + x + x 38. Write an expression for the perimeter of the pentagon shown. Combine like terms in the expression. 35. Write an expression for the perimeter of the square shown. Combine like terms in the expression. q q m q m q m m a. 4m b. c. m + 4 d. m + m + m + m 36. Write an expression for the perimeter of the parallelogram shown. Combine like terms in the expression. q a. 5q b. c. q + 5 d. q + q + q + q + q 39. Write an expression for the perimeter of the hexagon shown. Combine like terms in the expression. t t t t t p m m p a. 2m + 2p b. c. (m + 2) + (p + 2) d. m + p + m + p 37. Write an expression for the perimeter of the kite shown. Combine like terms in the expression. t a. 6t b. c. t + 6 d. t + t + t + t + t + t 40. Which of the following is a solution of 20 = k + 7? 13 a. b. c. d. a. 2a + 2b b. c. (a + 2) + (a + 2) d. a + a + b + b 27 23 14 23 13 27 14 41. Li-ming has 92 stamps in a stamp collection. This is 2 more than Matt has. The equation 92 = p + 2 can be used to represent the number of stamps Matt has. Does Matt have 94 stamps, 100 stamps, 91 stamps, or 90 stamps? a. 90 b. 94 c. 91 d. 100 42. Li-ming has 3 fewer pennies saved than Matt has. If Li-ming has 36 pennies, then the equation 36 = p – 3 can be used to represent the number of pennies Matt has. Does Matt have 40 pennies, 39 pennies, 33 pennies, or 49 pennies? a. 33 b. 40 c. 49 d. 39 43. Thomas wants to display leaf specimens for a science fair. Thomas has 26 leaves, which is 26 fewer than the total needed. Will the science display have 53 leaves, 52 leaves, 0 leaves, or 62 total leaves? a. 52 b. 62 c. 0 d. 53 44. Mike wants to grow a certain number of sunflower plants this year. Mike has 44 seeds, which is 26 more than the number needed. Does Mike want to grow 28 sunflowers, 19 sunflowers, 18 sunflowers, or 70 sunflowers this year? a. 70 b. 28 c. 18 d. 19 Solve each equation. Check your answer. 45. s – 2 = 67 a. s = 65 b. s = 79 c. s = 69 d. s = 68 48. 56 = 4m a. 15 = m b. 60 = m c. 52 = m d. 14 = m 49. Your score at miniature golf this weekend is 35. This is 1 less than the previous time you played. What was your score the previous time you played miniature golf? a. 34 b. 46 c. 35 d. 36 50. Your basketball team scored 8 points in the first quarter. The team’s final score was 90 points. How many points did your team score in the rest of the game? a. Your team scored 98 points in the rest of the game. b. Your team scored 82 points in the rest of the game. c. Your team scored 92 points in the rest of the game. d. Your team scored 81 points in the rest of the game. 51. Riding your bike is good exercise. If your goal is to ride your bike a total of 72 laps around the block over the next 6 days, how many laps must you ride each day? a. You must ride 12 laps each day. b. You must ride 66 laps each day. c. You must ride 13 laps each day. d. You must ride 78 laps each day. 46. n + 13 = 87 a. n = 73 b. n = 64 c. n = 100 d. n = 74 52. If your art class needs 150 charcoal pencils and the pencils come 15 per package, how many packages of charcoal pencils will your art class need? a. Your class needs 165 packages. b. Your class needs 10 packages. c. Your class needs 11 packages. d. Your class needs 135 packages. 47. 53. Graph –1 and its opposite on a number line. a. a. b. c. d. q = 17 q = 29 q = 138 5 q = 36 –10 –8 –6 –4 –2 0 2 4 6 8 10 –10 –8 –6 –4 –2 0 2 4 6 8 10 b. c. –10 –8 –6 –4 –2 0 2 4 6 8 10 –10 –8 –6 –4 –2 0 2 4 6 8 10 d. b. Quadrant III c. Quadrant I d. Quadrant II 57. Identify the quadrant that contains the point (0, –1). y 10 54. Write the integers 1, –7, 9, –5, 6, and 4 in order from least to greatest, and then plot each of them on a number line. a. 9, 6, 4, 1, –5, –7 –10 –8 –6 –4 –2 0 2 4 6 8 10 –10 b. –7, –5, 1, 4, 6, 9 –10 –8 –6 –4 –2 0 2 4 6 8 10 10 c. –7, –5, 1, 4, 6, 9 –10 –8 –6 –4 –10 –2 0 2 4 6 8 10 0 2 4 6 8 10 d. 1, –7, 9, –5, 6, 4 –10 –8 –6 –4 –2 Use a number line to find each absolute value. a. b. c. d. Between Quadrants I and IV Between Quadrants I and II Between Quadrants II and III Between Quadrants III and IV 58. Plot the point (7, 0) on a coordinate plane. y a. 10 55. |–6| a. 6 b. –6 c. 0 d. 36 x –10 56. Identify the quadrant that contains the point (1, –6). y –10 10 y b. –10 10 10 x x –10 –10 –10 a. Quadrant IV x y c. 10 61. Evaluate –36, a. b. c. d. x –10 y 10 x –10 –10 59. Give the coordinates of the following point. y 10 –10 4 –4 76 –76 62. The income from the Spanish Club’s bake sale was $265. Expenses for the sale totaled $20. Using integer addition, find the total profit or loss from the bake sale. a. The club made a profit of $285. b. The club had a loss of $20. c. The club made a profit of $265. d. The club made a profit of $245. –10 d. 63. Carmen baby-sat six weekends in a row to earn $130. She owed her mother $45 for a new outfit she had bought. Using integer addition, find either the total amount Carmen had left after repaying her mother or the amount she still owed her. a. $85 left over b. $130 left over c. $45 still owed d. $175 left over 64. Subtract. 46 22 10 x a. b. c. d. –68 –24 24 68 65. Evaluate –30, –10 a. b. c. d. (–6, –6) (0, 6) (–6, 0) (0, –6) 60. Add. –11 + (–40) a. b. c. d. –29 29 51 –51 for the given values. 40 a. b. c. d. for the given values. 9 21 –21 39 –39 66. The highest temperature recorded in the town of Westgate this summer was 99°F. Last winter, the lowest temperature recorded was –14°F. Find the difference between these extremes. a. –113°F b. –85°F c. 113°F d. 85°F 67. The temperature on the ground during a plane’s takeoff was 10°F. At 38,000 feet in the air, the temperature outside the plane was –20°F. Find the difference between these two temperatures. a. 10°F b. –10°F c. –30°F d. 30°F a. b. c. d. –14 –49 14 49 69. Find the quotient. –114 (–3) a. –117 b. 38 68. Multiply. c. –111 –7 • (–7) d. –38 70. Isabelle recorded the number of videos rented and returned at MovieLovers, Inc., each hour while working on a Friday night. The table below shows the overall change in the number of videos at the store. What was the average change per hour? Hour Change in Number of Videos a. 20 b. 10 Solve. 1 13 2 –4 = 16 a. b. c. d. 4 7 c. 5 d. –5 71. j – (–14) = –20 a. –34 b. 34 c. 6 d. –6 72. 3 4 160 6 26 –160 73. –28 2r a. –26 b. –30 c. –14 d. 14 74. This year, a construction company had expenses of $900 million, which was $50 million more than the expenses from last year. How much were last year’s expenses? a. $900 million b. $850 million c. $50 million d. $950 million 75. A restaurant earned a profit of $175,000 in its first year of operation. After taxes were paid, $122,499 was left. How much money did the restaurant pay in taxes? a. $297,499 b. $52,511 c. $52,501 d. $122,499 Graph each number on a number line. 1 76. 1 4 a. –5 –4 –3 –2 –1 0 1 2 3 4 5 –5 –4 –3 –2 –1 0 1 2 3 4 5 –5 –4 –3 –2 –1 0 1 2 3 4 5 –5 –4 –3 –2 –1 0 1 2 3 4 5 –5 –4 –3 –2 –1 0 1 2 3 4 5 b. c. d. 77. 1.25 a. b. –5 –4 –3 –2 –1 0 1 2 3 4 5 –5 –4 –3 –2 –1 0 1 2 3 4 5 –5 –4 –3 –2 –1 0 1 2 3 4 5 c. 80. Use a decimal to estimate how much more or less rain (in inches) fell in Perrysburg. a. 5 2 b. –2.50 c. 2.50 d. 1.50 d. 78. Show that 1.75 is a rational number by writing it as a fraction in simplest form. a. b. 81. Use a fraction and a decimal to estimate the greatest value and the least value represented on the graph. a. The greatest value is about 3 , or 3.00. 1 The least value is about 1 , or –3.00. 3 b. The greatest value is about 7 4 4 1 , or 4.00. The least value is about , or –3.00. 3 1 c. c. The greatest value is about d. 7 4 4 1 , or 4.00. The least value is about , or –2.00. 2 1 The total amount of rainfall recorded one year in Allentown was 29 inches. The following graph shows how much more or less rain (in inches) was recorded for the year in other cities. d. The greatest value is about 3 , or –3.00. 1 4 The least value is about 1 , or 4.00. Find a fraction equivalent to the given fraction. 6 5 82. D 4 a. Rainfall (in.) 3 B 2 1 b. H A c. P d. –1 –2 83. –3 –4 –5 –6 a. A = Anderson B = Brownsburg D = Davenport H = Hillsdale b. P = Perrysburg c. d. 79. Use a fraction to estimate how much more or less rain (in inches) fell in Anderson. a. 3 Tell whether the two given fractions are equivalent. 1 b. 3 1 c. 2 1 84. a. The fractions are not equivalent. b. The fractions are equivalent. d. –3.00 85. a. The fractions are not equivalent. b. The fractions are equivalent. c. 2 3 5 91. A high school basketball team attempted 566 three-point shots last season. They made 141 of those shots. Using a decimal rounded to the nearest thousandth, show the team’s success rate for three-point shots. a. 2.490 b. 0.425 c. 0.249 d. 4.014 d. 1 3 5 92. Compare the fractions. Write < or >. 86. Write a. 2 2 as a mixed number in simplest form. 5 b. 1 4 5 4 87. Write 5 9 as an improper fraction. a. 40 9 b. 49 9 c. 2 1 d. 50 9 88. Write the fraction as a decimal. Round to the nearest hundredth if necessary. a. 30.12 b. 0.4 c. 2.7 d. 2.5 89. Write the decimal –10.82 as a mixed number in simplest form. a. b. 10 41 50 c. d. 10 41 50 90. During a review game, Mr. Pai’s class correctly answered 65 questions on the first try. If there were 70 questions in the game, at what rate were questions answered correctly on the first try? Write your answer as a decimal rounded to the nearest hundredth. a. 0.071 b. 0.929 c. 0.093 d. 1.077 a. > b. < 93. Which decimal is less than 0.69? a. 0.679 b. 0.7 c. 0.791 d. 0.6911 94. Order the numbers from least to greatest. –0.447, –0.53, a. 1 2 1 2 , –0.447, –0.53 b. –0.53, –0.447, c. –0.447, –0.53, d. –0.53, 1 2 1 2 1 2 , –0.447 95. Use a calculator to determine whether the decimal form of the rational number terminates or repeats. a. Terminates b. Repeats 96. Use a calculator to determine whether rational or irrational. a. Irrational b. Rational is 97. Jon’s summer baseball league has 48 thirteen-year-olds and 52 fourteen-year-olds. Write the ratio of thirteen-year-olds to fourteen-year-olds in three different ways. a. 13 , 13 to 25, 13:25 25 b. 12 , 12 to 25, 12:25 25 c. 13 12 , 13 to 12, 13:12 d. 12 13 , 12 to 13, 12:13 98. In the last three years, Frederico’s basketball team won 30 more games than they lost. If they won 140 games, what was their ratio of wins to losses? Show the ratio in three different ways. a. 14 , 14 to 11, 14:11 11 b. 3 14 , 3 to 14, 3:14 c. 14 17 , 14 to 17, 14:17 d. 14 3 , 14 to 3, 14:3 99. Find the unit rate if Ramon drives his car 180 miles in 3 hours. Show the answer in fraction and word form. a. Ramon drives 60 miles per hour. b. Ramon drives 1 mile per 60 hours. c. Ramon drives 50 miles per hour. d. Ramon drives 180 miles per 3 hours. 100. Find the unit rate if 6 chocolate chip cookies have 426 calories. Show the answer in fraction and word form. a. There are 71 calories per cookie. b. There is 1 calorie per 71 cookies. c. d. There are 27 atoms per 9 molecules. 102. Tiffany paid 26 cents for 2 ounces of mixed candy. Tony told Tiffany that he could go to a different store and get a better deal. At the other store, Tony paid 52 cents for 12 ounces of the same candy. Did he make the better buy? a. yes b. no 103. Larry took 17 minutes to do 10 math problems. Mary took 16 minutes to do 9 math problems. Which student did more problems per minute? a. Larry b. Mary 104. Determine whether the ratios proportional. a. no b. yes 105. Determine whether the ratios proportional. a. no b. yes are and are 106. Find a ratio equivalent to . Then use the ratios to write a proportion. a. b. There are 61 calories per cookie. d. There are 426 calories per 6 c. cookies. 101. Find the unit rate if 9 water molecules contain 27 atoms. Show the answer in fraction and word form. a. b. c. d. There are 3 atoms per molecule. There is 1 atom per 3 molecules. There are 4 atoms per molecule. 107. Use cross products to solve the proportion a. 5.16 b. 9.5 c. 266 d. 4 . 108. The Anderson family is making preparations for a party. They figure that they will need 12 cans of soft drinks for every 6 people who attend. How many cans will they need if they are expecting 18 people? a. 216 b. 12 c. 72 d. 36 114. Maria has been sick in bed for 1 weeks. How many minutes has this been? a. 10,080 minutes b. 168 minutes c. 420 minutes d. 1,440 minutes 115. Are triangles ABC and XYZ similar? A 109. At Country Landscape, Mr. McDonald can buy 15 three-pound-bags of mulch for $60. How many bags can he buy for $400? a. 6000 b. 1600 c. 180 d. 100 110. Raquel uses 8 oranges to make 1 cup of orange juice. How many oranges would she use to make 1 quart? a. 2 oranges b. 36 oranges c. 32 oranges d. 64 oranges 15 9 C 12 111. Convert 190 miles per hour to feet per hour. Round your answer to the nearest hundredth, if necessary. a. 1,003,200 feet per hour b. 100,320 feet per hour c. 0.36 feet per hour d. 0.04 feet per hour 112. Pam pays $8.00 for 1 yard of fabric. How much would the fabric cost per inch? Round your answer to the nearest cent, if necessary. a. $0.22 per inch b. $0.67 per inch c. $288.00 per inch d. $0.44 per inch 113. One day, Victor was riding in the car with his dad and saw a sign that read “500 km to Indianapolis”. About how many hours did it take to get to Indianapolis if the car was traveling at 60 mi/h? (1 mile 1.61 km.) Round your answer to the nearest tenth. a. 5.2 hours b. 13.4 hours c. 0.5 hours d. 134.2 hours B X 10 Z 6 8 Y a. yes b. no 116. Is parallelogram ABCD similar to parallelogram WXYZ? (Opposite sides are equal and all corresponding angles are congruent.) A 10 B 5 D C W A 12 D 6 18 X Y a. no b. yes 117. Is trapezoid ABCD similar to trapezoid WXYZ? B 12 W 3 Z 15 9 6 Z C X 6 10 Y a. yes b. no 118. Triangle ABC is similar to triangle XYZ. Find the length of XY. Round to the nearest hundredth if necessary. A 8 6 30 Jane base = x C B X 4 Z a. b. c. d. x Spot 4 Y 3 12 2 5.33 119. The front of Jane’s house is similar in shape to the front of Spot’s doghouse. If the base of the doghouse measures 4 feet and the height of its side measures 5 feet, what is the length of the base of Jane’s house, in feet, if the height of its side is 30 feet? (Round to the nearest tenth if necessary.) 5 a. b. c. d. 29 ft 20 ft 37.5 ft 24 ft 120. Two parallelograms are similar. The base of the first is 8 cm, and its height is 4 cm. Find the base of the second parallelogram if its height is 18 cm. a. 1.8 cm b. 9 cm c. 22 cm d. 36 cm 121. In Juan’s backyard, there are two trees, a maple tree and a pine tree. Juan knows the height of the pine tree is 5.25 feet. On a sunny day, he uses the shadows of the two trees to set up similar triangles. The shadow of the pine is 3.5 feet long while the maple’s shadow is 16 feet long. Find the height of the maple tree to the nearest tenth of a foot. a. 24 feet b. 10.7 feet c. 25 feet d. 1.1 feet 122. In order to determine the height of the flagpole in the school yard, Cindy is going to use similar triangles. The length of Cindy’s shadow is 3.25 feet. Measuring the length of the shadow of the pole at the same time, she finds it to be 11 feet. Using this information and the fact that Cindy’s height is 5.5 feet, give the height of the pole to the nearest hundredth of a foot. a. 18.87 feet b. 6.5 feet c. 18.62 feet d. 18.37 feet 123. Identify the scale factor if the length of a model train engine is 21 inches and the length of the engine itself is 24 feet. a. 7 4 b. 7 96 c. 288 to 1 d. 7 126. Lisa and Susan are each driving to college for the first time. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 3.5 inches. How many miles do they have to drive if the map scale is 1 in. = 60 mi? a. 210 miles b. 20 miles c. 1 mile 20 d. 420 miles 127. A souvenir model of a Gothic cathedral is 16 inches tall. If the scale is 2 inches = 30 feet, how tall is the cathedral? a. 240 feet b. 46 feet c. 480 feet d. 2880 feet 128. Write 16% as a fraction in simplest form. a. 25 4 b. 0.16 c. 4 8 124. In an FBI investigation, Detective Tracy discovered a photograph that pictured his number one suspect at the scene of the crime. To get a better look, he needed to enlarge the picture by a scale factor of . If the rectangular photo measured 4.5 inches by 3.5 inches, what would be the dimensions of the enlargement? a. 45 inches by 17.5 inches b. 45 inches by 35 inches c. 22.5 inches by 35 inches d. 14.5 inches by 13.5 inches 125. Alex’s mother took a picture of him receiving his diploma at graduation. She is very proud of Alex’s accomplishment and wants to have the photo enlarged so she can hang it on the wall of her office. If the photo has dimensions 3.5 inches by 7 8 inches and the scale factor is 5 , what will be the dimensions of the enlargement? a. 11.2 inches by 22.4 inches b. 11.2 inches by 11.2 inches c. 5.6 inches by 11.2 inches d. 5.6 inches by 22.4 inches 25 d. 1 4 25 129. Write 87% as a decimal. a. 0.87 b. 1.15 c. 8.7 d. 87 100 130. Use 1% or 10% to estimate 19% of the number 219. a. 63.8 b. 43.7 c. 4.4 d. 44 131. Find 190% of the number 185. a. 351.5% b. 35,150 c. 97.37 d. 351.5 132. The state of Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. The state of Arizona has a surface area that is approximately 19.4% of the surface area of Alaska. What is the approximate surface area of the state of Arizona? a. b. c. d. 114,000 square miles 114 square miles 11,400,000 square miles 3,033 square miles 133. The table shows the number of states in the United States that begin with particular letters. First Letter in State Name F K C A M Number of States Beginning with Letter 1 2 3 4 8 Of the 50 states in the United States, how many state names begin with the letter K? a. 16% c. 16% b. 4% d. 25% Matching 134. 135. 136. 140. 141. 142. Match each of the following vocabulary words with its definition. a. base e. prime factorization b. greatest common factor (GCF) f. scientific notation c. multiple g. power d. order of operations h. exponent the product of any number and a whole number 137. when a number is raised to a power, the number a method of writing very large or very small that is used as a factor numbers by using powers of 10 138. the greatest number that is a factor for two or more A rule for evaluating expressions: first perform the given numbers items in parentheses, then compute powers and 139. a number written as the product of its prime factors roots, then perform all multiplication and division from left to right, and then perform all addition and subtraction from left to right. Match each of the following vocabulary words with its definition. a. Addition Property of Equality e. term b. evaluate f. variable c. isolate the variable g. standard form d. Multiplication Property of Equality h. scientific notation the property that states that if you multiply both 143. to find the value of a numerical or algebraic sides of an equation by the same number, the new expression equation will have the same solution 144. to get a variable alone on one side of an equation or the parts of an expression that are added or inequality in order to solve the equation or subtracted inequality a symbol used to represent a quantity that can change 145. the property that states that if you add the same equation will have the same solution number to both sides of an equation, the new Match each of the following vocabulary words with its definition. a. algebraic expression e. Subtraction Property of Equality b. coefficient f. verbal expression c. equation g. expression d. solution h. composite number 146. the number that is multiplied by the variable in an 150. the property that states that if you subtract the same algebraic expression number from both sides of an equation, the new 147. a word or phrase equation will have the same solution 148. a value or values that make an equation true 151. a mathematical sentence that shows that two expressions are equivalent 149. an expression that contains at least one variable Match each of the following vocabulary words with its definition. a. composite number e. prime number b. exponent f. standard form c. least common multiple (LCM) g. prime factorization d. numerical expression h. greatest common factor (GCF) 152. a number greater than 1 that has more than two 155. a whole number greater than 1 that has exactly two whole-number factors factors, itself and 1 153. a number written using digits 154. in a power, the number that indicates how many times the base is used as a factor 156. an expression that contains only numbers and operations 157. the least number, other than zero, that is a multiple of two or more given numbers Match each of the following vocabulary words with its definition. a. constant e. solve b. Division Property of Equality f. power c. inverse operations g. multiple d. like terms h. least common multiple (LCM) 158. a value that does not change 161. operations that undo each other—addition and subtraction, or multiplication and division 159. two or more terms that have the same variable raised to the same power 162. the property that states that if you divide both sides of an equation by the same nonzero number, the 160. to find an answer or a solution new equation will have the same solution 163. a number produced by raising a base to an exponent Match each of the following vocabulary words with its definition. a. opposite e. mixed number b. ordered pair f. integer c. x-axis g. absolute value d. repeating decimal 164. the horizontal axis on a coordinate plane 167. a decimal in which one or more digits repeat 165. a pair of numbers that can be used to locate a point infinitely on a coordinate plane 168. a number made up of a whole number that is not 166. a number that is the same distance from 0 on a zero and a fraction number line as a given number; also called additive inverse Match each of the following vocabulary words with its definition. a. absolute value f. quadrants b. coordinate plane g. y-axis c. integers h. variable d. ordered pair i. x-axis e. origin 169. the point where the x-axis and y-axis intersect on 173. a plane formed by the intersection of a horizontal the coordinate plane; (0, 0) number line called the x-axis and a vertical number 170. the distance of a number from zero on a number line called the y-axis line; shown by | | 174. the x- and y-axes divide the coordinate plane into 171. the set of whole numbers and their opposites four of these regions 172. the vertical axis on a coordinate plane Match each of the following vocabulary words with its definition. a. equivalent fractions e. terminating decimal b. improper fraction f. mixed number c. nonterminating decimal g. repeating decimal d. rational number 175. fractions that name the same value 178. a fraction in which the numerator is greater than or equal to the denominator 176. a decimal number that comes to an end 179. any number that can be expressed as a ratio of two 177. a decimal that never comes to an end integers Match each of the following vocabulary words with its definition. a. corresponding angles e. similar b. complementary angles f. reciprocal c. scale g. indirect measurement d. scale factor 180. the ratio between two sets of measurements 183. the ratio used to enlarge or reduce similar figures 181. These types of figures have the same shape but not 184. the technique of using similar figures and necessarily the same size. proportions to find a measure 182. matching angles of two or more polygons Match each of the following vocabulary words with its definition. a. adjacent sides e. exact drawing b. corresponding sides f. scale drawing c. scale model g. proportion d. ratio 185. matching sides of two or more polygons 187. a sketch that uses a ratio to make an object smaller than or larger than the real object 186. a proportional example of a three-dimensional object 188. an equation that states that two ratios are equivalent 189. a comparison of two quantities by division Match each of the following vocabulary words with its definition. a. cross product e. ratio b. equivalent ratios f. unit rate c. greatest common factor g. rate d. unit conversion factor 190. a fraction in which the numerator and denominator represent the same amount but are in different units 193. a rate in which the second quantity in the comparison is one unit 191. ratios that name the same comparison 194. the result of multiplying the numerator of one ratio in a proportion by the denominator of the other ratio 192. a ratio that compares two quantities measured in different units Match each of the following vocabulary words with its definition. a. interest f. principal b. percent g. simple interest c. percent of change h. rate d. percent of decrease i. ratio e. percent of increase 195. a fixed percent of the principal found by using the 198. a percent change describing an increase in a formula I = Prt, where P represents the principal, r quantity the rate of interest, and t the time 199. a percent change describing a decrease in a quantity 196. the amount of money charged for borrowing or using money, or the amount of money earned by 200. a ratio comparing a number to 100 saving money 201. the initial amount of money borrowed or saved 197. the amount that a number increases or decreases stated as a percent Short Answer 202. After planting a seed, you notice that it produces 2 203. In Manuel’s science report, he says that a star is leaves in 10 days. If it doubles the number of leaves miles from Venus. Show how to write it has every 10 days, how many leaves will the this number in standard form. plant have in 60 days? 204. One way to factor the number 270 is 1 270. This number can be factored several other ways. Factor 270 the following ways: a. Use a factor tree to show the prime factorization of 270. b. Show a factorization of 270 that is not prime. 205. There are two ways to find the greatest common factor (GCF) of 32 and 40. Find the GCF of 32 and 40 by using both of the following methods. a. Find the GCF by using a list of all factors for each number. b. Find the GCF by using the prime factorization of each number. 206. Antonia gets to rent a movie every 10 days. Her family takes a long bike ride every 8 days. If Antonia gets to do both activities today, how many more days will it be before she gets to rent a movie and go for a long bike ride on the same day again? Find the LCM of the two numbers to solve this problem. 207. There are 8 ounces in 1 cup. If you need 3 cups of raisins for a snack mix and the raisins come in 6-ounce boxes, use the expression for x = 3 to find how many boxes of raisins you will need. 208. The daytime thermometer reading of 72°F is 13°F lower than the daytime temperature required for the opening of Samantha’s neighborhood outdoor pool. Does the pool open when the temperature is 59°F or 85°F? Use substitution of both numbers in an equation to prove the answer. 209. Roberto is traveling to a museum in Chicago with his family. They are going to see Sue, the most complete skeleton of Tyrannosaurus rex ever found. The trip will be 332 miles in one direction. They have traveled 150 miles so far. How much farther does Roberto’s family have to travel to see Sue? Use an equation to solve and check your answer. 210. Osami is inviting her friends to the roller-skating rink for her birthday party. a. If the skating rink charges $6 per person and the birthday party will cost $72, how many skaters will be at Osami’s party? Use an equation to solve and check your answer. b. What will be the new cost of the birthday party if each skater receives $2 spending money? Check your answer. 211. At three consecutive baseball games, a team official recorded the following attendance data: Actual Attendance Game 1 Game 2 Game 3 16,795 42,785 25,560 Difference from Average Attendance –16,450 +9,540 –7,685 For which game is the absolute value of the difference from actual attendance the least? Explain. 212. Ramón borrowed $88 dollars from his sister Lydia to buy a new bike. So far he has paid her $18, $34, and $25. How much does he still owe her? 215. To make her favorite chocolate cake, Mrs. Green uses cup of sugar. If she makes 6 of these cakes to give to the neighbors as holiday gifts, she needs cups of sugar. Express this fraction as a mixed number in simplest form. 216. Benjamin has read 5 out of the 12 books he is required to read for his literature class. What portion of the books has he read? Write your answer as a decimal rounded to the nearest hundredth. 213. This morning at 8:00, the temperature was –7°F. Yesterday morning, the temperature was 6°F colder. What was yesterday’s temperature? 214. Allie owes her parents $43. Last month, she owed them 3 times as much. Use negative integers to show how much Allie owed her parents last month. 217. When playing the card game Hearts, the person with the lowest score wins. If Henry scores 25, Thomas scores –21, Katie scores –12, and Sara scores 33, answer the following questions. a. Who wins the game? b. What was the difference between the highest and the lowest score? 218. On Thursday, Mrs. Yakichi sold 10 shares of stock for a total of $250. By Friday, the price of the stock had jumped to $31 per share. a. When Mrs. Yakichi sold her stock, what was the price per share? b. How much would she have received if she had sold 10 shares on Friday instead of Thursday? 219. Consider the numbers 5 , 5.2, 5.02, 5 , and 5.333. a. Order the numbers from least to greatest. b. Write each of the fractions as a decimal, and each of the decimals as a fraction in simplest form. 220. While training for the Tour de France, Jean-Luc rode 72 km on his bike in just 4 hours. Find the unit rate. 223. Identify the corresponding sides of the following two triangles. Then use ratios to determine whether the triangles are J 221. To feed her family of 8, Abby spends $184 per week at the grocery store. Danielle’s spending for her family of 5 is proportional to Abby’s. How much does Danielle spend a week? 24 15 L 20 K similar. P 222. The school cafeteria uses an average of 328 half pints of milk per day. How many gallons of milk do they use? 8 R 5 6 Q 224. The following two parallelograms are similar. Use proportions and cross products to find the missing dimension. 13 6.5 225. A model rocket is 16 inches long. The original rocket is 40 feet long. What is the scale factor? x 4 226. Greg bought 5 new sweatshirts at one store for a total of $63. His younger brother Zachary bought 4 sweatshirts at a different store and paid $54. a. Explain the meaning of unit rate, and give the unit rate for each boy. b. Who got the better deal? 227. Two classmates are preparing research papers and are organizing their information on index cards. Keiko is using 3-by-5 inch cards, and William is using 4-by-6 inch cards. a. Are the students using index cards that are similar? b. A third student, Joel, is writing his information on paper that measures 12 inches by 8 inches. Is this similar to either Keiko’s or William’s cards? 228. Mr. Perez will be driving south to a conference. On the map, the distance he must drive is 11 cm. When he refers to the legend, he sees that 2 cm = 40 km. a. How far will Mr. Perez be driving to the conference? b. After the conference, if he decides to drive 90 km farther south to visit an old friend, how many centimeters will he be from home on the map? Essay 229. Discuss the order of operations to explain why the expressions same value. and do not have the 230. Elena has m state quarters in her collection, and her brother Emilio has m + 6 state quarters in his collection. Discuss three different ways of stating in words the number of quarters Emilio has. 231. Describe the steps for simplifying the expression include the meaning of like terms in your explanation. . Be specific and be sure to 232. Graph and label the ordered pairs (2, 3), (–2, 3), (–2, –3), and (2, –3) on a coordinate plane. Explain in words how each of these points is plotted—that is, how many units you must move up, down, right, or left. 233. Explain the process of comparing two fractions. Use and as an example. 234. What is a rational number? Is each of the following numbers rational or irrational? Explain why. , , 0, , , , 235. Explain how you could use your own height and the lengths of shadows to figure out the height of a tall building without measuring it. 236. What does it mean if two figures are similar? 237. Explain how to use cross products to determine whether the ratios 27:36 and 12:16 are equal. 238. Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of the total amount required to inflate the balloon. Explain how you would determine the total amount of air required to inflate the balloon. 239. Suppose you had money in savings accounts at two different banks. If the amount of money in the first account is greater than the amount of money in the second account, can you assume that the first bank pays a higher interest rate? If not, what information would you need to determine which bank pays the higher interest rate? 240. If a tree grows during the course of a year, is its percent change an increase or a decrease? Explain how you would determine the percent change

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