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PERTComputerized Placement TestREVIEW BOOKLETFORMATHEMATICSValencia CollegeOrlando, FloridaPrepared byValencia College Math DepartmentRevised February 2015
Contents of this PERT Review Booklet:General information . . 3Study tips . . 4Part 1:General Mathematics Section . Test for General Mathematics . Test answers .Tips on how to work missed questions on test .561617Part 2:Developmental Math I . .Test for Developmental Math I .Test answers . .Tips on how to work missed questions on test .Information sheets on a variety of Dev. Math I topics . Practice questions and answers from Dev. Math I . .282932334247Part 3:Developmental Math II . 51Test for Developmental Math II . 52Test answers 56Tips on how to work missed questions on test . 57Information sheets on a variety of Dev. Math II topics . 69Practice: Signed numbers, Equations, Graphing, Polynomials 74Practice: Variety of topics with answers . . 83Part 4:Intermediate Algebra .Test for Intermediate Algebra Test answers .Tips on how to work missed questions on test .88899495PERT information and math overview from McCann Associates . 106 Valencia College – All Rights Reserved2
PERT Review for MathematicsThis PERT Review was created to help studentsto review the major skills that are assessed onthe PERT test in order to achieve the mostaccurate placement into a course of mathematicsat Valencia College.If you have not learned the subject mattercovered in this booklet at an earlier time, it isunlikely that you will be able to learn it forthe first time through this review.No calculator will be allowed on the PERT test.The PERT test does NOT have a time limit. Valencia College – All Rights Reserved3
Math Study Skills Tip Sheet1. Read your textbook. Read your textbook before the topic is covered in class. Make notes onanything you do not understand, so you can get that cleared up during class. It is crucial to master one concept before going on to the next and to staycurrent with your reading. Read actively - read with paper and pencil in hand - work out examplesyourself - highlight and take notes.2. Set up a regular study time and place. Be aware of your best time of day to study. Study two hours for every hour you spend in class. Because most math classes are cumulative, it is better to study for a shorteramount of time more often, then to wait until the day before the test. Study math first if it is your most difficult subject. Study with others - you will learn different approaches to reaching solutions.3. Be actively involved. Attend class regularly. Come to class with homework completed, if possible. Speak up when you have a question. Seek extra help, if necessary.Tutors are available on all Valencia CollegeMath Centers. Valencia College – All Rights Reserved4
Part 1General MathematicsAll students entering Valencia College shouldreview this section.Some of this general mathematics material willbe taught in the Developmental Math I course.For any math class higher than DevelopmentalMath I the instructor will assume their studentsknow everything in this section.NOTE: The PERT test will not specifically testanything in this section but questions on the testwill assume you know your basics in order toanswer some of the algebra questions. Valencia College – All Rights Reserved5
Test for General MathematicsChoose the one alternative that best completes the statement or answers the question.Evaluate:1) 19 13 16a) 263b) 512c) 48d) 2272) 76 5 2 3a) 198b) 66c) 426d) 463)9 24 3a) 7b) 3c) 9d) 14) 8 1 8 1 a) 63b) 15c) 64d) 65Find the area of the shaded region:5)7cm18cma) 168 square cm.6cmb) 756 square cm.c) 178 square cm.d) 84 square cm.Find the average:6) 11, 16, 15, 22a) 64b) 15c) 17d) 16Solve:7) For five mathematics tests your scores were 81, 86, 81, 76, 71. What was your averagescore?a) 383b) 78c) 79d) 75Choose a strategy and solve:8) Your car gets about 20 miles per gallon. You are planning to drive to see your friendswho live about 850 miles away. How many gallons of gas will you need to purchase tomake the trip to see your friends and to return home?a) About 20 gallons b) About 41 gallons c) About 85 gallons d) About 48 gallons9) In 2006 your car cost 13,350. In 2008 your car cost 17,376. How much did the priceincrease?a) 3026b) 4026c) None, it was a decrease d) 502610) While shopping for CDs, you note that the average price is about 8 per CD includingtax. You have 136 in your pocket. About how many CDs can you buy?a) 21b) 14c) 17d) 1911) In 2007 you weighed 207 pounds. In 2008 you weighed 198 pounds, and in 2009 youweighed 185 pounds. How many pounds did you lose from 2007 to 2009?a) 22 lbsb) None, you gained weightc) 9 lbsd) 13 lbs Valencia College – All Rights Reserved6
Solve:12) Write this expression in words:a) The sum of 9 and 17 is 26c) The product of 9 and 17 is 269 17 26b) The difference between 9 and 17 is 26d) The quotient of 9 and 17 is 26Identify a fraction or mixed number that represents the shaded part of the figure:13)a) 5b)1516d)56c) 7d)17c)14)a)78b) 134Which diagram represents the number:3515)16) 217)a)1353b)c)a)b)c)d)a)b)d)c)d)Indicate whether the number is a proper fraction, an improper fraction, or a mixednumber:18) 701117a) Improper fractionb) Mixed numberd) Proper fractionWrite the mixed number as an improper fraction:19) 547a)357b)394c)354d)397Write the improper fraction as a mixed number:20)375a) 725b) 727 Valencia College – All Rights Reservedc) 825d) 6257
Find the value of n:21)5n 16 80a) 80b) 25n5a) 15b)53c)115d)3522) 3 c) 5d) b)47c)157d)6010525)6036a)53b) 5c)35d) 15Between the pair of fractions, insert the appropriate sign: 26)1227)41628)5738a) b) c) 413a) b) c) 1521a) b) c) Solve: Write your answer in simplest form:29) A baseball team has played 9 games so far this season. The team won 7 games. Whatfraction of its games has the team won?a)97b)79c)167d)71630) Of a family’s 855 weekly income, 86 usually goes toward groceries. What fraction ofthe family’s weekly income is usually spent on groceries?a)85586b)86855 Valencia College – All Rights Reservedc)43385d)385438
355in.,in., and in. long. You select the shortest of8168these to join two plates. Which length is selected?31) You have three bolts that area)5inch8b)5inch16c)3inch832) A broker has an order to sell 100 shares of XYZ Company stock if the price increases37anotherof a point. The stock went uppoints today. Does the broker sell the1632stock?a) Yes,73is greater than, so the stock gained enough to sell.1632b) No,73is less than, so the stock didn’t gain enough to sell.1632Add and simplify:33)3 3 8 8a)23b)45c)34d)2434)15 9 10 59 59 59a)34177b)2459c)3459d)615935)1 2 6 7a)1942b)1021c)313d)3736)2 1 3 12a)34b)712c)912d)1437) 277 111 11a) 97111238) 5 1737a) 2371 139) 2 3 85 2a) 713212340b) 4311b) 22b) 513212340c) 9511d) 91611c) 51321d) 21c) 612d) 613212340Subtract and simplify:40)4 3 8 8a)12b)14 Valencia College – All Rights Reservedc)18d)3169
41)28 5 13 13a) 242)5 1 7 2a)43)7 1 9 12a)713b)12c)23d) 149b)314c)17d)4712b)23c)1318d)25363544) 16 988a) 62 645) 14 7 7a) 1246) 10 5372 1147) 15 7 14a) 9243747a) 1334b) 6b) 13b) 5123747b) 14121013c) 2534d) 2434c) 1327d) 1437c) 447c) 1512d) 537d) 14Solve: Write your answer in simplest form:1548) There were 28 yards of wire on a spool. After a customer bought 3 yards of wire84from the spool, how many yards were left?5a) 24 yards8b) 24 yards5c) 23 yards85d) 25 yards849) Brian was training to run a marathon. During the three-day period before the race he3decided that he would train for a total of 11 hours. If he trained for 2 hours on the first59day and 2 hours on the second day, how many hours would he need to train on the10third day?4a) 5 hours51b) 5 hours23c) 5 hours51d) 6 hours2Multiply:50)3813a)324b)411 Valencia College – All Rights Reservedc)311d)1810
51) 115852) 2452753) 4293a)588b) 88a)25b) 2a) 1323c)835558d)558845d)45c) 4c) 36b) 42d) 108Divide:54)6 5 9 8a)1615b) 1455)1 82a)518b)56) 17 414a) 21225116b) 4c)572d)c)12d) None of thesec) 51117d) 3Solve the problem:5of his total trip. He has traveled 520 miles so far. How many more6miles does he have to travel?57) Jim has traveleda) 624 miles2b) 86 miles3c) None of thesed) 104 miles3of an ounce. How many servings are in458) A bag of chips 24 ounces. A serving size isthe bag of chips?a) 18 servings1b) 9 servings3c) 32 servings3d) 6 servings4Write the decimal as a fraction or mixed number in lowest terms:119659) 0.14a)60) 13.6a) 1925b)114b) 135 Valencia College – All Rights Reservedc)7500d)75035d)685c) 1311
Write the number in decimal notation:61) Eight and seventeen hundredthsa) 8.0017b) 8.017c) 817d) 8.17The following sentence involves decimals. Write the decimal in words:62) The weight of a full grown Great Pyrenees dog named Simba is 152.86 pounds.a)b)c)d)One thousand fifty-two and eighty-six tenthsOne hundred fifty and two hundred eighty-six thousandthsOne hundred fifty-two and eighty-six hundredthsOne hundred fifty-two and eighty-six thousandthsWrite the number in decimal notation:63) A piece of paper is thirty-two thousandths of an inch thick.a) 0.032 inchesb) 0.00032 inchesc) 0.32 inchesd) 0.0032 inchesIdentify the place value of the underlined digit:64) 0.947a) Thousandthsb) Onesc) Hundredthsd) Ten-thousandthsBetween each pair of numbers, insert the appropriate sign: 65) 0.0420.42a) b) c) 66) 8.538.503a) b) c) Rearrange the group of numbers from smallest to largest:67) 2.04, 2.004, 2a) 2, 2.04, 2.004b) 2.04, 2.004, 2c) 2, 2.004, 2.04d) 2.004, 2.04, 2Give an appropriate answer:68) Last summer, your average daily electric bill was for 9.02 units of electricity. Thissummer, it was for 9.04 units. During which summer was the electrical usage higher?a) Last summerc) This summerb) The usage was the same for both summersd) Not enough information to determineRound as indicated:69) 8.628 (nearest hundredth)a) 8.63b) 8.62c) 8.6470) 8.73 (nearest tenth)a) 8.8b) 8.7c) 8.6 Valencia College – All Rights Reserved12
71) 0.07787 (nearest cent)a) 0.07b) 0.00c) 0.08d) 1.0072) 1.942% (nearest tenth)a) 2%b) 1.94%c) 1.9%d) 1.8%73) 21,443.17 (nearest hundred)a) 21,440b) 21,500c) 21,400d) 21,300Write the ratio in simplest form:74) 24 to 16a)23b)43c)3234d)Indicate whether the statement is True or False:75)25 3 30 576) 5.4 is to 0.6 as 12.6 is to 1.4Change the percent to a fraction or mixed number. Simplify if necessary:77) 20%a) 2b)110c)25d)78) 300%a) 6b) 30c)32d 379)7%10a)710b)71000c) 7d)15110Solve the problem:80) What is 30% of 500?a) 150b) 1.5c) 1500d) 1581) What is 0.5% of 3200?a) 16b) 2c) 160d) 160082) Compute 150% of 3330 trees:a) 49,950 treesb) 4995 treesc) 499,500 treesd) 500 treesb) 0.02 feetc) 183 feetd) 18.3 feet183) Compute 2 % of 83 feet:5a) 1.83 feet Valencia College – All Rights Reserved13
Find the percent of increase or decrease:84) Original value: 20a) 45% increaseNew value: 28b) 45% decrease85) Original value: 40a) 70% decreasec) 40% increased) 40% decreaseNew value: 12b) 68% increasec) 80% decreased) 70% increaseFind the mean of the set of numbers:86) 15, 11, 6, 12, 4, 4, 6 (Round to nearest dollar)a) 7b) 1587) 2.7, 6.5, 7.2, 2.7, 4.2c) 4d) 8a) 5.825b) 23.30c) 4.2d) 4.66Use the table to solve the problem:88)Moons Average distancefrom Geo I (km)Diameter (km)Time of Revolutionin Earth yearsLuna 1 10004110.25Luna 2 130021750.77Luna 3 90,0003141.36Luna 4 129,60072543.83Luna 5 297,0001136112.86What is the time of revolution around Geo I of the moon Luna 4?a) 0.77 yearsb) 43.83 years Valencia College – All Rights Reservedc) 112.86 yearsd) 725 years14
89)LakeAreaLong Lake183Big Horn Lake886Green Lake80Pokagon Lake890Thomas Lake181How many times as large as the smallest lake is the largest lake?a) 0.09 timesb) 810 timesc) 11.13 timesd) 10 times90) Use the following table to determine the minimum payment on a credit card bill:Balance 0 - 25 25.01 - 250 250.01 - 1000 1000.01 and upMinimumpayment thatmust be paidFullbalance 2510% of balance 100 5% ofbalance greaterthan 1000What is the minimum payment if you have a balance of 300?a) 300b) 45c) 25d) 30Change the given quantity to the indicated unit:91) 300 seconds minutesa) 9b) 5c) 12d) 292) 180 inches feeta) 60b) 1.25c) 540d) 15Find the perimeter:93)8 yards4 yardsa) 12 yardsb) 16 yardsc) 8 yardsd) 24 yardsFind the square root:94)49a) 14b) 9c) 24.5d) 795)144a) 144b) 72c) 12d) 24 Valencia College – All Rights Reserved15
Answer key for Part 1 – General Mathematics section:1) D2) D3) D4) A5) A6) D7) C8) C9) B10) C11) A12) A13) D14) B15) B16) C17) C18) B19) D20) A21) B22) A23) D24) B25) A26) B27) C28) C29) B30) B31) B32) A33) C34) C35) A36) A37) B38) B39) D40) C41) D42) B43) D44) B45) B46) C47) B48) A49) B50) D51) C52) D53) B54) A55) B56) B57) D58) C59) D60) C61) D62) C63) A64) A65) C66) B Valencia College – All Rights Reserved67) C68) C69) A70) B71) C72) C73) C74) C75) FALSE76) TRUE77) D78) D79) B80) A81) A82) B83) A84) C85) A86) D87) D88) B89) C90) D91) B92) D93) D94) D95) C16
BASIC WORD PROBLEMSFollowing these steps will help you get through a word problem:1. Draw a picture that matches your information.2. Put all information from the problem on your picture. (In English - Not Algebra)If you can tell what the problem says by looking at your picture, then you havedone an excellent job.OPTION:Make a chart for all your information. (Great organizational tool.)3. To know that you really understand the problem, try putting in a reasonable guess ofthe answer and then figure out if it is correct or incorrect. You could continue toguess at the answer until you get it correct, but eventually
the PERT test in order to achieve the most accurate placement into a course of mathematics at Valencia College. If you have not learned the subject matter covered in this booklet at an earlier time, it is unlikely that you will be able to learn it for the first time through this review. No calculator will be allowed on the PERT test. The PERT test does NOT have a time limit. Valencia College .
