PERT - Pasco County Schools

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FSCJFlorida StateCollege TPostsecondaryEducationReadinessTestStudy Guide forMathematicsNote: Pages 1 through 7 are abasic review. Pages 8 forwardare more relevant to the contentof the PERT mathematicsassessment.

Florida State College Review for PERT Mathematics – Part 1MULTIPLE CHOICE Choose the onealternative that best completes thestatement or answers the question.Evaluate.1. 29 16 13A. 455C. 587. For five mathematics tests your scoreswere 81, 86, 81, 76, 71. What was youraverage score?B. 585D. 2372. 96 5 2 3A. 546C. 5463.Solve.A. 383C. 79Choose a strategy and solve.B. 86D. 668. Your car gets about 30 miles per gallon.You are planning to drive to see yourfriends who live about 930 miles away.How many gallons of gas will you needto purchase to make the trip to see yourfriends and to return home? State youranswer to the nearest gallon?9 24 3A. 7C. 9B. 3D. 14. (7 1)(7 – 1)A. 47C. 49B. 48D. 14A.B.C.D.Find the area of the shaded area.5.22cmabout 30 gallonsabout 45 gallonsabout 62 gallonsabout 51 gallons9. In 1998 your house cost 82,400. In2000 your house was valued at 102,650.How much did the value of your homeincrease?A. 19,250B. 20,250C. No increase, it was a decreaseD. 21, 2507cmA.B.C.D.B. 78D. 756cm196 square centimeters924 square centimeters35 square centimeters174 square centimeters10. While shopping you note the averageprice for a CD is 8 including tax. Youhave 112 in your pocket. About howmany CDs can you buy?A. 21B. 14C. 17D. 19Find the average.6.11, 16, 15, 22A. 64B. 15C. 17D. 161

Florida State College Review for PERT Mathematics – Part 111. In 2000 you weighed 175 pounds. In2001 you weighed 162 pounds, and in 2002you weighed 154 pounds. How manypounds did you lose from 2000 to 2002?A. 21 poundsB. No weight loss, you gained weightC. 13 poundsD. 8 poundsWrite the improper fraction as a mixednumber.17515.A. 3 25B. 3 23C. 2 53D. 5 25Solve for n.51616.Solve.12. Write this expression in words.8 16 24n80A. 80A. The sum of 8 and 16 is 24B. The difference between 8 and 16 is24C. The product of 8 and 16 is 24D. The quotient of 8 and 16 is 2417.B. 25C. 5D. 400n53A. 15B.53C.115C.1220D.35Simplify the fraction.Identify a fraction or mixed number thatrepresents the shaded part of the figure.13.A.19.A. 5B.15C.16D.5620.21.404B.434C.343B.154A. 1 4334B. 3 21D.C. 3 43D.403C. 441613A. 2B. B. 35D. 4 411328A. 10 43A.45Between the pair of numbers, place thecorrect sign: , , or .Write the number as an improperfraction.14.122018.C.

Florida State College Review for PERT Mathematics – Part 1Solve the problem below. Write youranswer in simplest form.27.22. Of a family’s 750 weekly income, 35usually goes toward groceries. Whatfraction of the family’s weekly income isusually spent on .yard3B.25.26.1 13 21A.65C.6B. 4 2114C. 3D.18712D. 4 812 78 3 15B. 23 152D. 23 15812A. 7 4023C. 6 215yard16C.B. 5 4023D. 6 4023Subtract and simplify.1 24 43A.81C.25427 2720A.2721C.27A. 3 869125 13 17 1530.31.Add and simplify.24.B.A. 22 152C. 22 15823. You need a piece of fabric 125 yard long.Which of these is the smallest piece offabric that would work?A.2 13 123A.412 2 1 85343D.16B.32.12275 16 62A.34C.1226 5111 11A. 2 113C. 3 1117921D.81B.8933.1311 134.15 322A.B.93233D.4B.3B. 1 119D. 2 101112A. 1 187C.131D.2B.B.718D. 1C.56D.25

Florida State College Review for PERT Mathematics – Part 135.11 2 15A. 8 4542.B. 9 15C. 9 45D. 10 45A.36.12 2335A. 12 2137.1638B. 12 1519A. 6 2438.1635C. 11 151D. 12 1343.C. 25 43D. 24 4344.B. 16 3531C. 16D. 16 1645.46.A. 24 85 ”C. 25 85 ”B. 26 85 ”D. 25 4340. Brian was training to run a marathon.During the three-day period before therace he decided that he would train for atotal of 11 hours. If he trained for 2 53hours on the first day and 2 109 hours onthe second day, how many hours wouldhe need to train on the third day?B. 5 21C. 5 5347.C.560D. 6 15D.C. 1 23D. 423D. 2 1035 21 6B. 33C. 15D. 302 33 522A.B.531821A.161C.1023 4 531A.5C. 1 91D. 1 23B. 4D. None of theseB. 5D. 4Solve the problem.48. Mary needs to save 540 for a computer.It was used and the sales man told her hewould sell it to her for 13 off the markedprice. What is the price of the computerbe after the mark down?A. 180B. 360C. None of theseD. 51041.617B. 2 1091245C. 10Multiply and reduce to lowest terms.B.C. 10Divide and reduce answers to lowestterms.39. A carpenter had a board 27 41 ” long. Hecut off 2 85 ”. How long was theremaining board?5 112 51A.103 8523B. 3A. 30 2157Solve the problem below and write youranswer in simplest form.A. 5 45314A. 1 2158B. 6 43A. 15 35312371124

Florida State College Review for PERT Mathematics – Part 149. A bag of chips is 24 ounces. A servingsize is 43 ounce. How many servings arein the bag of chips?A. 18 servingsB. 9 13C. 32 servingsD. 6 43Choose the answer with the correct signbetween the pair of numbers.56.Write the decimal as a fraction or mixednumber in lowest terms.50. 1.02A. 1 501B. 1 15C. 1 251D. 25357.0.0250.25A. 0.025 0.25C. 0.025 0.25B. 0.025 0.2562.233 62.23A. 62.233 62.23C. 62.233 62.23B. 62.233 62.23Put the numbers below in order from thesmallest to the largest.51.1.26A. 1 13B. 13505013C. 1325D. 100Write the number in decimal notation.52. five and 3 hundredthsA. 5.003B. 5.03C. 5.3D. .53Write the decimal number in words.53. 162.35A. one hundred sixty-two and thirty-fivetenthsB. one hundred sixty and two hundredthirty-five thousandthsC. one hundred sixty-two and thirty-fivehundredthsD. one hundred sixty-two and thirty-fivethousandthsWrite the number in decimal notation.54. A strand of hair is twenty twothousandths of an inch thick.A. 0.22 inchesB. 0.022 inchesC. 0.0022 inchesD. 0.00022 inchesIdentify the place value of the 8 in thedecimal number below.55. 24.638A. TenthsB. HundredthsC. ThousandthsD. Ten-thousandths58.1.32, 1.032, 1. 302A. 1.32, 1.032, 1.302B. 1.032, 1.302, 1.32C. 1.302, 1.32, 1.032D. 1.32, 1.302, 1.032Round the numbers below as indicated.59. Round 9.459 to the nearest wholenumber.A. 10B. 9C. 9.46D. 9.560. Round 6.449 to the nearest tenth.A. 6.45 B. 6C. 6.5D. 6.4Round to the indicated place.61. The stock marked fell by 2.345% lastmonth. Round this to the nearest tenth ofa percent.A. 2.3%B. 2.34%C. 2%D. 2.35%62. The median income last year in this statewas 25,347,22. Round this to thenearest thousand dollars.A. 25, 347B. 25, 350.00C. 25,000D. 26,0005

Florida State College Review for PERT Mathematics – Part 1Write the ratio as a fraction in simplestform.63. 12 to 16A.68B.86C.34D.Find the percent of increase or decreasein the problem below.4371. A surfer purchased a new surf board for 264. The board was originally 330.What was the percent of change?A. 55%B. 20%C. 25%D. 30%In each of the problems below change thepercent to an equivalent fraction or mixednumber.64. 25%A. 465.B.14C.34D.4100D.125100072. A crafter wants to make 20% profit onthe items he makes. If the cost ofmaterials is 1.20, what should the itemssell for to make a 20% profit?A. 1.44B. 1.00C. 1.24D. 2.40125%A. 1 411%66.101A.101C.1000B. 12 41C.18Find the mean of the set of numbers.73. Your test scores are 78, 89, 76, 50, 82,and 69. Round your answer to thenearest whole number if necessary.A. 74B. 76C. 69D. 721B.1001D.10000Solve each percent problem below.Use the tables to solve the followingproblems.67. Find 40% of 700.A. 2.8B. 28C. 280D. 280074.Dog68. Find .25% of 200.A. .5B. 5C. 50D. 50069.70.HuskySt. BernardCockerSpanielYorkieFind 150% of 2500.A. 375B. 3750C. 37500D. 375000Weight(pounds)95145553.5About how many times heavier is the largestdog when compared with the smallest dog?A. 3B. 41C. 2D. 27Find 3 21 % of 36,000.A. 126B. 126000C. 1260D. 126006

Florida State College Review for PERT Mathematics – Part 1Change the given quantity to theindicated unit.75.76.Find the square root of each of theproblems below.360 min hoursA. 21600 B. 36C. 6D. 2180 in ftA. 60B. 1.25D. 1578.A. 1679.C. 540 0-25Min.PaymentFullBalance 25.01250 25 250.01100010% ofbalanceSolutions:1. D8. C15. A22. B29. C36. B43. B50. A57. B64. B71. B78. DB. 452. D9. B16. B23. A30. D37. B44. B51. A58. B65. A72. A79. CC. 253. D10. B17.A24. B31. A38. A45. C52. B59. B66. C73 A80. AC. 32D. 8121C. 11D. 12Find the perimeter of the figure below.80. 1000.01up 100 5% ofbalancegreaterthan 10003 ft5 ft5ft3ftWhat is the minimum payment if youowe 300?A. 300B. 9A. 121 B. 60.577. The following table is used to determinethe minimum payment on a credit cardbill.Balance64A. 16 ftC. 9 ftD. 304. B11. A18. D25. B32.A39. A46. A53. C60. D67. C74.B5. A12. A19. C26. C33. B40. B47. B54. B61. A68. A75.C76. D13.D20. B27. A34. D41. D48. B55. C62. C69. B76. DB. 8 ftD. 25 ft7. C14. B21. A28. D35. A42. D49. C56. A63. C70. C77.D

Florida State College Review for PERT Mathematics – Part 2Pre Algebra Practice1. What is the perimeter of a rectangle thathas a length of 9 cm and a width of 6cm?A. 54 sq. cm B. 54 cmC. 30 cmD. 30 sq. cm8. Simplify:A. – 10C. – 22. What is the area of a square that has aside length of 15 centimeters?A. 225 cmB. 225 sq. cmC. 60 sq. cm D. 60 cm9. Simplify:– 4 – 5x8y 6xy – 8x8y xy – 7A. – 13x16y2 – 7xy 11B. – 13x8y 7xy – 11C. 3x8 5x2y2 11D. 3x8y 5xy – 113. What is the area of a triangle that has abase of 9 inches and a height of 10inches?A. 45 inB. 45 sq inC. 90 inD. 90 sq in4B. 10D. – 63510. Simplify:4. Use order of operations to simplify:(10 - 4·2)3 – 3A. 1725B. 30C. 3D. 56 8x12xA.110xB.23C.310xD.11011. Simplify:A. 2.88xzC. 1.44xzxx2(0.24x)(1.2z)B. 0.288 xzD. 1.44 xz12. Evaluate the following expression forx 3 and y 4:x2 y2A. - 2B. 14C. – 7D. 255. Use order of operations to simplify:– 3·2 – (– 4)2 2A. 102B. 16C. 12D. – 2013. Evaluate the following expression for6. Use order of operations to simplify:15 – [4 – 3( 2 – 4)]A. 13B. 1C. 5D. 1721x 3 and y 2 :7A. 3637. Simplify:A. – 11C. 79C. 5( 2)B. – 7D. 11(x – y)(x y)4B. 31D. 914. Evaluate the following expression forx 0.2 and y 3.4: x(y2 – 4)A 223.2B. 1.512C. 0.56D. 2.3048

Florida State College Review for PERT Mathematics – Part 215. Solve for x:51212512A. x B. x 60C. x – 6016. Solve for x:5A. x 8C. x D.12512– x 3 7x 86B. x 513D. x 17. Solve for x:22. The formula for the perimeter of arectangle is:P 2L 2WSolve for W when P 23 and L 7.A. W 4.5B. W 2C. W 18.5D. W 18x 25 06115(3 – 4x) 7 – ( 4 – x)A. x 3B. x 18547D. x 198C. x 18. Solve for y:3420B. y – 21124. Jeremy put 1250 into his savingsaccount, which pays 5% per year simpleinterest and left it there for 3 years.Using A as the total amount that will bein the bank at the end of the 3 years,write an algebraic equation that describesthis transaction.A. A 1230 1250(0.05)(3)B. A 1250(0.05)(3)C. A 1250 – 1250(0.05)(3)D. A 1250 (0.05)(3)29C. y 12D. y 1219. Solve for z:C. z 53yA. y 92235A. z 23. Best Buy is selling a television for 1250.00. Sales tax in Duval County is6%. Using P as the amount I will have topay for the television (including salestax),write an algebraic equation thatdescribes this transaction.A. P (0.06)(1250)B. P 1250 0.06C. P 1250 (0.06)(1250)D. P 1250(0.94)243565z47B. z D. z 6235102120. Solve for z:A. z 0.2596C. z 0.03565.6 0.02z 7.38B. z 649D. z – 8921. Solve for x:x0.08A. x 5.72C. x 72.525. Keisha is investing her money in anIRA. Initially she will be putting in 775. Using C as the additional amountinvested each month, translate thisproblem into an algebraic expression thatwill show how much Keisha invested forthe entire year.A. 775 CB. 775 – 12CC. 775CD. 775 12C58.B. x 5.88D. x 0.4649

Florida State College Review for PERT Mathematics – Part 226. Multiply and simplify where possible:3x(7x – 4)A. 21x2 – 4B. 21x2 – 12C. 9x2D. 21x2 – 12x31. Multiply and simplify where possible:A. 16x2 – 4z2B. 8x2 4z2C. 16x2 16xz – 4z2D. 8x2 4z227. Multiply and simplify where possible:4x(2y 3z – 12)A. 6xy 12xz – 48B. 8xy 12xz – 48xC. 8x2y2 12x2z2 48D. 8xy 12xz – 1232. Simplify: (6x2 – 3x – 7) (3x2 5)A. 3x2 – 3x – 2B. 9x2 – 3x – 12C. 9x2 – 3x – 2D. 9x2 – 3x 1228. Multiply and simplify where possible:xy(6x2 – 3y3z)A. 6x3y – 3xy4zB. 7x3y – 2xy4zC. 6x2y – xy3zD. 3x3y4z33. Simplify: (z2 – 3z 1) – (7z2 – 8z 5)A. – 6z2 – 11z 6B. – 6z2 5z – 4C. – 6z2 – 11z – 4D. – 7z2 5z – 434. Simplify:(z2 3) (4z – 7) – (5z2 z – 9)A. – 4z2 5z 5B. – 4z2 3z 5C. – 4z2 5z – 13D. – 6z2 3z – 1329. Multiply and simplify where possible:(5x – 2)(6x 3)A. 30x2 – 6B. 30x2 3x – 6C. 11x2 – 5D. 30x2 3x 530. Multiply and simplify where possible:( z 43 )( z 43 )A. z 2 43B. 2zC.z223D. z 2916Solutions:1. C8. C15. B22. A29. B2. B9. B16. A23. C30. D3. B10. A17. C24.A31. A4. D11.B18. C25. D32. C5. D12. D19. D26.D33. B106. C13. A20. D27. B34. B7. D14. B21. D28. A

Florida State College Review for PERT Mathematics – Part 3Section 1 Sample Problems8. Find the x and y intercepts and the slopeof the given line: 2 x 3y 12 .1. Simplify: 2 18a 2 x5A. 36ax 2 xC. 18ax 2 2 x2. Simplify: 6 5A. 4 10 6C. 5 16233C. ( 6,0), ( 0,4 ),2B. 18a 2 x 4 2 xD. 6ax 2 2 x6 2 5B. 4 5D. 5 6A. ( 6,0), ( 0,4 ),64. Factor x 2 y 2 .A. xy( x y )C. ( x y )( x y )B. 3ab2D. 6ab2A.B. ( x y )( x y )D. not factorableC.x6y27. Simplify:125x 6C. 10x 6A.B.D. ( 4,0), ( 0,6),233x 5 343B. x323D. x210. Solve for x:xC. x5. Factor the trinomial 2a 2 3a 1A. ( 2a 1)( a 1) B. ( a 1)( a 3)C. ( 2a 1)( 3a 1) D. 2( a 1)( a 1)x2 y36. Simplify: 3 5x y5xA. 2y329. To graph y 2 x 3 you would begin atthe y intercept which is:A. – 2B. 3C. – 6D. 03. Find using the greatest common factor.6a 2b2 18ab3A. 6a 2b3C. 6abB. ( 4,0), ( 0,6),8332311. Solve for x:ax by cby cB.ac byD.aac byc byC.aA.12.y2x5D. xy 3(5x 3 y 0 ) 225B. 5 2x yD. 10x 6Solve for x: 4 x 2 4 x 35 0A.xB.xC.xD.x13. Solve for x:A. x 1C. x 1117,x27,x27,x27,x2525252525x 8 11x 2B. x 1D. x 1

Florida State College Review for PERT Mathematics – Part 3Solutions Sectio

Florida State College Review for PERT Mathematics – Part 1 1 7cm 22cm 6cm MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. Evaluate. 1. 29 16 13 A. 455 B. 585 C. 58 D. 237 2. 96 5 2 3 A. 546 B. 86 C. 546 D. 66 3. 9 2 4 3 A. 7 B. 3 C. 9 D. 1 4. (7 1)(7 – 1) A. 47 B. 48