ࡱ> ~ bjbjVV 5<<:D,ttd0'\"")")")"&&&;\=\=\=\=\=\=\$]`Xa\E+&@&++a\)")"\A5A5A5+V)")";\A5+;\A5A5XD [)"u^R..GY&'\\0\mYf`.`L[`[T&dT(A5R)*e&&&a\a\s2&&&\++++`&&&&&&&&&t }: MATH 012 TEST 3 REVIEW SHEET 1. Write each ratio as a fraction in simplest form. 19 to 38 0.9 to 0.6 2.5 : 4 4 :  EMBED Equation.DSMT4   EMBED Equation.DSMT4  2 minutes : 1 hour 5 yards to 6 feet h)  EMBED Equation.DSMT4  2. Refer to the monthly budget shown below. Give each ratio in lowest terms. ItemAmountRent$800Food$600Gas and Electric$180Phone$100Entertainment$120 a) Find the total amount of the budget. b) Find the ratio of the amount budgeted for rent to the total budget. c) Find the ratio of the amount budgeted for entertainment to the amount budgeted for food. d) Find the ratio of the amount budgeted for phone to the amount budgeted for gas and electric. 3. What does it mean to say that the ratio of men to women at a college is 7:5? 4. What is the difference between a ratio and a rate? 5. An automobile was driven 326.6 miles on 11.5 gallons of gasoline. Find the number of miles driven per gallon of gas. 6. A recycling program earned about $206,000 on 1,255 tons of recyclables in 2006. Find the average rate of earning in dollars per ton. Round to the nearest cent. 7. An 11,880-gallon tank can be emptied in 27 minutes. Find the rate of flow in gallons per minute. 8. A tube of toothpaste for 6 ounces costs $2.99, and a tube of toothpaste for 4 ounces costs $2.59. Give the unit cost per ounce of each toothpaste and round to the nearest cent. Which is the better buy? 9. A certain brand of Aspirin is sold in 100-tablet boxes for $5.99 and in 225-tablet boxes for $15.96. Give the unit cost per tablet and round to the nearest cent. Which is the better buy? 10. A car travels 350 miles in 6 hours, and a truck travels 380 miles in 6.5 hours. Find the average rate of speed per vehicle and round to the nearest tenth. Which vehicle is going faster? 11. A 14.2-ounce bag of chips costs $1.89. 12-ounce bag of chips costs $1.29. Find the unit price of each and round to the nearest tenth of a cent. Which is the better buy? 12. Determine whether each statement is a proportion. a)  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  d)  EMBED Equation.DSMT4  13. Solve for the variable in each proportion. Check each result. a)  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  d)  EMBED Equation.DSMT4  e)  EMBED Equation.DSMT4  f)  EMBED Equation.DSMT4  14. Nora answered 28 questions correctly on a 35-question test. If the next test contains 80 questions, how many will she have to answer correctly to keep the ratio the same? 15. A customer who buys a new car valued at $20,000 is offered a rebate of $800. At this rate, what would be the rebate if the car costs $24,500? 16. The exchange rate for Costa Rica (CR) to U.S. dollars in January of 2008 was 517.93(CR) = $1 (USD). Derek saw a souvenir he would like to buy and the price was 10,350 in Costa Rica dollars (CR). How much is this in U.S. dollars? Round to the nearest dollar. 17. The exchange rate for Italian lira to U.S. dollars on a particular day was 1747.80 lira for 1 U.S. dollar. A leather jacket is priced at 270,909 lira. How much does it cost in U.S. dollars? 18. The exchange rate for the Mexico peso (MXN) to U.S. dollars in January of 2008 was 10.85 Mexico peso (MXN) = $1 (USD). Marlene had $350 U.S. when she arrived in Mexico. How much money did she have in Mexico pesos? 19. A recipe for brownies calls for 4 eggs and  EMBED Equation.DSMT4  cups of flour. If the recipe makes 15 brownies, how many cups of flour will be needed to make 130 brownies? 20. If a 56-gram serving of pasta contains 7 gram of protein, how many grams of protein are in a 454-gram serving of pasta? 21. The dosage of a certain medication is 2 mg for every 80 lb of body weight. How many mg of this medication are required for a person who weights 220 lbs? 22. If 4 grapefruit sell for $1.28, how much do 14 grapefruit cost? 23. A computer manufacturer finds that an average of 3 defective hard drives are found in every 100 drives manufactured. How many defective drives are expected to be found in the production of 1200 hard drives? 24. Anna earns $1232 in 14 days. At this rate, how much does she earn in 250 days? 25. If 5 ounces of a medicine must be mixed with 8 ounces of water, how many ounces of medicine would be mixed with 20 ounces of water? 26. The number of calories you burn is proportional to your weight. A 150-pound person burns 222 calories during 30 minutes of tennis. How many calories would a 210-pound person burn? Round to the nearest whole number. 27. Use the fact that  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  to change: a) 20(C to degrees Fahrenheit. b) 86(F to degrees Celsius. 28. Perform each of the following conversion. 7 feet to inches 21 feet to yards 8 pounds to ounces 48 ounces to pounds 4.5 days to hours 18 quarts to gallons 2.5 gallons to quarts 6.2 meters to centimeters 37.8 centimeters to meters 3 kilograms to grams 2.5 gram to milligrams 200 milliliters to liters For the following problems 29  34 use unit conversions below to solve each of the following. 1 miles = 5280 ft1 mi. H" 1.6093 km1 ton = 2000 lbs (pounds)1 oz H" 28.35 g1 c (cup) = 8 fl oz1 lb H" .454 kg1 pt (pint) = 2 cups1 fl oz H" 0.03 L (liters)1 qt = 2 pt1 pt H" 0.473 L1 in. H" 2.54 cm1 qt H" 0.946 L1 ft H" 0.3048 m1 gal H" 3.785 L1 yd H" 0.9144 m 29. The distance between Jerusalem and Bethlehem is 8 kilometers. Find the distance to the nearest mile between the two cities. 30. An adult male killer whale can weigh as much as 16,000 pounds and be as long as 25 feet. a) Find the whales weight in tons. b) Find the whales length in meters. 31. A person weighs 165 pounds. Find the persons weight in kilograms. Round to the nearest kilogram. 32. A bottle of spring water contains 0.5 liters. How much water is that in fl oz? Round to the nearest fl oz. 33. An aquarium tank takes 5 gallons of water to fill. Find the amount of water in liters. Round to the nearest liter. 34. The Dead Sea is approximately 49.71 miles long. Find this distance in kilometers. Round to the nearest kilometer. 35. If nylon is $12 per square yard, how much would the fabric cost to make a triangular sail with a base of 4 yd and a height of 6 yd? 36. Dave wants to enclose a rectangular garden with fencing that costs $8.50 a meter, including installation. Find the cost of enclosing garden if the dimensions are 7 m by 5 m. 37. A rectangular living room measures 30 feet by 18 feet. At $6.75 per square ft, how much will it cost to carpet the room? Assume no waste. 38. Which is greater: The area of a circle with a 6 ft diameter or the area of a rectangle with dimensions 4.4 ft by 5 ft? 39. For each of following circles, find the circumference and round to the nearest tenth. find the area and round to the nearest tenth.  i) ii) 40. a) Write the formula used for finding the volume of a rectangular solid. b) A rectangular solid has dimensions of 5 by 7 by 2 centimeters. Find the volume of this solid. 41. A classroom is 42 feet long, 28 feet wide, and 9 feet high. How many cubic feet of air can a room hold? 42. Find the volume of a cube that measures 4 meters on a side. CUMULATIVE REVIEW 43. Write each of the following percents as a fraction in lowest terms. 125%  EMBED Equation.DSMT4  0.4% 5 EMBED Equation.DSMT4 % 44. Write each of the following percents as a decimal. 40.8%  EMBED Equation.DSMT4  45. Write each of the following decimals as percents. 0.612 2 46. Write each of the following fractions as percents a)  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  47. Write  EMBED Equation.DSMT4  as a percent. Round to the nearest hundredth of a percent. 48. What is 59% of $11.00? 49. 0.75 is what percent of 2.5? 50. 210.2 is  EMBED Equation.DSMT4 % of what number? 51. If 18% of the apples in a barrel were overripe, how many overripe apples would you expect to find in a barrel of 250 apples? 52. One month before a stock car race, the sale of ads for the official race program was slow. 12 pages of the ads, or 60% of the total, had been sold. What was the total number of pages in the program? 53. Nashwa earns a salary of $150 a week plus a 12% commission on her sales. If Nashwas sales for the week were $2,475, what was her total salary? 54. One store offers a 20% sale on all merchandise. The regular price of a stereo is $259. Another store offers  EMBED Equation.DSMT4  off, and the regular price of the same brand of stereo is $297. Find the sale price of the stereo at each store. Which store offers the better price? 55. A real estate agent charges a 4.5% fee for selling a condo. If the agent receives $8496 from the sale of a condo, what is the price of the condo? 56. While examining her monthly telephone bill, a woman noticed an additional charge of $1.24 labeled federal excise tax. If the basic service charge for the billing period is $42, what is the federal excise tax rate? Round to the nearest hundredth of a percent. 57. To increase the number of riders, a bus company reduced the price of a monthly pass from $112 to $98. What was the percent decrease? 58. If a man making $52,600 a year receives a cost-of-living increase of 2.4%, how much is his raise? what is his new salary? 59. A college student borrowed $6500 for 90 days at an annual simple interest rate of 6.5%. How much interest did the student pay on the loan? Round to the nearest dollar. 60. Aisha borrowed $5000 from a bank at 4.2% annual simple interest for 3 month. How much did she repay the bank? 61. Sam buys a new Toyota Corolla. The list price is $15,400 and the sales tax rate is 7%. a) What is the total cost of the car? b) He plans on financing the car and will get a 3-year car loan at 3.5% simple interest. How much does Sam have to repay for the car loan? c) If he pays the loan back over 3 years, what is the amount of each of his monthly payment? Round to the nearest cent. 62. Translate the following statements into mathematical expressions. If you use a variable, define it. Two less than your test 3 grade. The product of two numbers. The sum of six and the number of phones in a college. 63. Name the property illustrated by each of the following: a) 5 + 6 = 6 + 5 b) 3 + ( 5 + x ) = (3 + 5 ) + x c) 3(x + 4) = 3x + 3(4) d) 5(2y) = (5 EMBED Equation.DSMT4 2) y 64. The bar graph below shows the number of vacation days that are legally mandated in several countries.  EMBED Excel.Chart.8 \s  a) Which country mandates the greatest vacation days? b) Estimate the difference between the country with the greatest number of mandated vacation days and the country with the least number of mandated vacation days. List each estimation first. c) Does the United States have more than, less than, or the same number of vacation days as Canada? 65. Your sister is 5 years younger than you. Define a variable to represent your age. Write an expression that represents your sisters age. 66. Evaluate the following expression for the given values. a)  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  67. Solve each of the following equations: a)  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  d)  EMBED Equation.DSMT4  e)  EMBED Equation.DSMT4  f)  EMBED Equation.DSMT4  68. Round 736.954 to the nearest whole number hundred tenth hundredth 69. Simplify each of the following expressions. Show all work and check answers using a calculator. Reduce to lowest terms if appropriate. a)  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  d)  EMBED Equation.DSMT4  e)  EMBED Equation.DSMT4  f)  EMBED Equation.DSMT4  g)  EMBED Equation.DSMT4  h)  EMBED Equation.DSMT4  i)  EMBED Equation.DSMT4  j)  EMBED Equation.DSMT4  k)  EMBED Equation.DSMT4  70. For the equation  EMBED Equation.DSMT4 , find the value of y when x = 2. find the value of x when y = 0. 71. Copy the table on your answer sheet and fill in the missing pieces of the table for the equation  EMBED Equation.DSMT4  EMBED Equation.DSMT4  x y (x, y) 3 ( , 3) 6 (6 , ) 0 ( , 0) 72. The heights of the starting players on a high school basketball teams are 76 75 69 72 76 a) What is the mean height of the players? b) What is the median height of the players? c) What is the mode height of the players? 73. The legs of a right triangle are 12 m and 15 m. a) State the formula you would use to find the hypotenuse of the triangle. b) Find the hypotenuse of the right triangle. Round to the nearest meter. 74. You have a 15 foot ladder which leans against the top of a wall. The distance along the ground from the base of the wall to the bottom of the ladder is 8 feet. How high is the wall? Round the answer to the nearest tenth. Make sure to include the units. 75. The width of a rectangle is 8 ft. If the area is 312 ft EMBED Equation.DSMT4 , what is the length of the rectangle? MATH 012 Test 3 Review Sheet Answer Key 1. a)  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  d)  EMBED Equation.DSMT4  e)  EMBED Equation.DSMT4  f)  EMBED Equation.DSMT4  g)  EMBED Equation.DSMT4  h)  EMBED Equation.DSMT4  2. a) Total budget is $1,800. b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  d)  EMBED Equation.DSMT4  3. There are 7 men to every 5 women. 4. In a ratio the units of measurement are the same in the numerator and the denominator. In a rate the units are different. 5. 28.4 miles per gallon 6. $164.14 per ton. 7. 440 gallons per minute 8. 2.99/6 ( $0.50 per ounce 2.59/4 ( $0.65 per ounce A tube of toothpaste for 6 ounces is a better buy 9. 5.99/100 ( $0.06 per tablet 15.96/225 ( $0.07 per tablet 100-tablet box is a better buy 10. 350/6 ( 58.3 mph 380/6.5 ( 58.5 mph the truck goes faster 11. 1.89/14.2 ( $0.133 per ounce 1.29/12 ( 0.108 per ounce 12-ounce bag of chips is a better buy 12 a) no b) yes c) no d) yes 13 a) n = 10 check b) a = 0.01 check c) n = 1.5 check d) a = 8.75 check e) x = 3 check f) x = 1 check 14. 64 answered correctly 15. $980 16. $20. U.S. dollars 17. $155 U.S. dollars 18. 3797.50 Mexico peso 19. 13 cups of flour 20. 56.75 grams of protein 21. 5.5 mg 22. $4.48 23. 36 defective hard drives 24. $22,000 25. 12.5 ounces of medicine 26. 311 calories 27 a) 68(F b) 30(C 28 a) 84 inches b) 7 yards c) 128 ounces d) 3 pounds e) 108 hours f) 4.5 gallons g) 10 quarts h) 620 centimeters i) 0.378 meters 3000 grams 2500 milligrams 0.2 liters 29. 5 miles 30 a) 8 tons b) 7.62 meters 31. 75 kilograms 32. 17 fl oz 33. 19 liters 34. 80 km 35. $144 36. $204 37. $3645 38. circle: 28.27 square ft rectangle: 22 square ft circle is greater 39 i) a) 31.4 cm b) 78.5  EMBED Equation.DSMT4  ii) a) 12.6 ft b) 12.6  EMBED Equation.DSMT4  40 a)  EMBED Equation.DSMT4  b) 70  EMBED Equation.DSMT4  41. 10584  EMBED Equation.DSMT4  42. 64  EMBED Equation.DSMT4  43 a)  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  d)  EMBED Equation.DSMT4  44 a) 0.408 b) 0.082 45 a) 61.2% b) 200% 46 a) 62.5% b)  EMBED Equation.DSMT4 % c) 325 % 47. 33.33% 48. $6.49 49. 30% 50. 630.6 51. 45 overripe apples 52. 20 pages 53. $447 54. with 20% off, the sale price is $207.20 with 1/3 off, the sale price is $198.00 store with 1/3 off is cheaper, a better price. 55. $188,800 56. 2.95% 57. 12.5% 58 a) $1262.40 b) $53,862.40 59. $104 60. $5052.50 61 a) $16,478 b) $18,208.19 c) $505.78 62 a) g 2 g = test 3 grade b) xy x = a number, y = the other number c) 6 + n n = # of phones in a college 63 a) Commutative property of addition b) Associative property of addition c) Distributive property d) Associative property of multiplication 64 a) Austria b) Austria =30 days Mexico ( 6 days The difference is 24 days c) More than 65 a) x = your age b) x 5 66 a) 12 b) 4 67 a) x = 5.5 b) y = 5 c) x = 6 d)  EMBED Equation.DSMT4  e) x = 5 f) w = 18 68 a) 737 b) 700 c) 737.0 d) 736.95 69 a) 13 b) 0 c) 34 d) 1 e) w 5 f)  EMBED Equation.DSMT4  g)  EMBED Equation.DSMT4  h) 3 i)  EMBED Equation.DSMT4  8x +18  EMBED Equation.DSMT4  70 a) y = 3 b) x = 6 x y 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