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TABE PREP COURSENOTICE: If you do not get the score you need on the TABE you will not be allowed to retest until you have remediated in Adult Education.Depending on your score at least 30-40 hours of remediation (consisting of at least 4 visits to the lab and homework) will be required before you will be allowed to retest.Photo Identification and this completed TABE Prep Packet are required for testingTABE Test Locations and TimesAdult Education Center Hopkinsville Community College Technology Center - Room 205Monday-5:00 p.m.Wednesday - 8:30 a.m.Phone (270) 707-3925 with any questionsTESTING RULES(Please Read)Policy regarding suspected cheatingScores will be invalidated when an examiner does not have confidence in test scores. The examiner does not need to prove cheating has occurred to withhold test scores. Since Academic Foundations is administering the TABE as a service to employers, potential employers will be notified when cheating has occurred even if it is discovered after scores have already been certified and delivered. Evidence of cheating will result in an inability to test for two (2) years from the date of the test.Taking or acquiring possession of any tests, information, or books without permission from a member of the Academic Foundations staff, or any act which compromises academic security, may be subject to sanctions or legal prosecution.What will I need to bring the day of testing?What NOT to bring:Purses, backpacks, cell phones, notebooks, folders, or paperwork will not be allowed in the testing room.What to Bring: Identification and this Completed TABE Prep PacketWhat if I don't get the score I need?NOTICE: If you do not get the score you need on the TABE you will not be allowed to retest until you have remediated in Adult Education.Depending on your score at least 30-40 hours of remediation (consisting of at least 4 visits to the lab and homework) will be required before you will be allowed to retest.After testing, FREE Tutoring is available to improve TABE scores should you not earn the scores you need for employment.Tuesday8:30-11:30 am and Monday 5:00 pmWhat are Fractions?Fractions are parts of whole items. When you write a fraction, the total pieces (the whole) on the bottom and the part goes on the top.Forms of FractionsImproper fractions have a larger numerator (top number) than the denominator (bottom number) Improper fractions can also have the same numerator and denominator. Proper fractions have a smaller top number than bottom number. A fraction is considered Mixed when it contains awhole number and fraction.Tell whether each of the following is an improper fraction ("I"), a mixed number ("M"), or a proper fraction ("P").1)82)133)1152344)105)36)1057597)58)119)8628Reducing FractionsFractions must always be written in the "reduced" form, or the smallest numbers possible.There are two ways to reduce fractions. For PROPER fractions, the top AND bottomnumbers must be divided by the same number, for example:4÷622=For IMPROPER fractions the top must bedivided into the bottom, as in:236/2 = 6 ÷ 2 = 3Reduce the following fractions:1)42)33)789144)35)26)81216167)98)59)915581Changing a Mixed Fraction to an Improper FractionIn order to multiply a whole number by a mixed number or fraction, you must first have twofractions (in order to "go across"). A mixed number can be rewritten as an improper fraction by multiplying the bottom of the fraction by the whole number and adding the topof the fra214OR(4 x 2) + 1 = 9/4Rewrite the following mixed numbers as improper fractions.1)3 12)7 23)2 5496Changing an Improper Fraction to a Mixed NumberUnless otherwise stated, if a fraction is improper, it must be divided and made into amixed number. When dividing the improper fraction, remember that the top number always goes inside of the bracket (TIBO--"Top in, bottom out"). For example, in1033Answer: fraction method-read, starting at the top, and go3 1 0clockwise: 3 1 3, or 3 1/3. 91Answer: remainder method-read top "3" with "1" left over, or"remaining", or 3 r 1.1) 72) 133) 94) 145) 96) 143102564Rewrite the following improper fractions as mixed numbers.+/-Bottoms the sameIn order to work fractions you need to know these 3 basic rules:x÷Go acrossFlip 2nd THEN "x" (go across)d out.Cross cancelling is basically simplifying before you multiply, but, don't just simplifythe fractions the normal way, instead cross-cancel. Cross-cancelling also makes it easier to multiply if using large numbers.Cross Canceling means that if the numerator of one fraction and the denominator of the other fraction have a common factor that can be divideCancel the following.1)1x7=2)5x2=141012153)7x3=4)7x3x5151415812Multiply the following.Reduce if possible.1)1x32=52)4 25x14=3)2x3=4)2 1x3 2=In order to divide fractions, you flip the 2nd fraction upside down, then multiply across:34371÷1=1x223231=3Divide the following fractions. Reduce if possible.3)2 ÷1=4)1÷5=5431)2÷1=2)4÷2=3357Adding and Subtracting Like FractionsWhen adding and subtracting fractions the bottoms (denominators) must be the same. When they are the same, add the numerator and leave the denominator.Add the following fractions. Reduce if necessary.1)1+2=2)3+4=55663)3+1=4)3 6+3 3=77775)1+3=6)4 5-1 3=4488Adding and Subtracting Unlike FractionsWhen adding and subtracting fractions, if the bottom is NOT the same, they must be MADE to be the same.In the problem1+1The denominators are different; find the new84denominatorRe-write as like fractions using 8 as the "new" denominator(because 8 is the first multiple of either number that is evenly divisible by both)1+1=1+?8488Remember, the number you multiply the 4 by to get to the new denominator, must also be multiplied by the top number as well!1+2 x 11+2=382 x 4888Add or subtract the following fractions. Determine common denominators where needed. Reduce if necessary.1)332)33)2853111+4+15-6Fractions-ReviewRewrite the following improper fractions as mixed numbers.1)72)123)44)152537Rewrite the following mixed numbers as improper fractions.5)526)317)435Reduce the following fractions.8)59)210)711)1328217Multiply or divide the following fractions. Reduce if necessary.12)1x3=13)2x3=43814)2÷1=15)741÷=233Add the following fractions. Reduce if necessary.16)1+2=17)3+7=7788Add or subtract the following fractions, making the denominators the same. Borrow or reduce if necessary.18)2719)73841327+4-1220)551121)4112-62-239Hopkinsville Community College Adult Education/Academic Foundations 270-707-3925* GED classesHopkinsville Community College Oak Grove Community Center Aaron McNeil CenterTrilogy Center for Women Christian County Jail Challenge HouseGED en espa?ol disponible. Llame para más informaciónESL (English as second language)(Gratis inglés como segundo idioma clases)TABE test for Employment Hopkinsville Community College Breathitt Career CenterAdding and Subtracting DecimalsIn order to work decimals you need to know these 3 basic rules:+/-Line up decimals; add zerosxAdd decimals LAST÷No decimals OUTSIDEIn order to add and subtract decimals, you have to line up the decimals AND add zeros so that the same number of decimals will be on each line as follows:14 924 10 103 . 5-1 . 7 3 43 . 53 . 5 0 0- 1 . 7 3 4- 1 . 7 3 41 . 7 6 6Add or subtract the following decimals. Use the boxes in 1-4 to keep numbers lined up.1)134.2 - 0.0022)526 - 1.373)5.693 + 35.14)4 + 1.5 + 0.003+/-Line up decimals; add zerosxAdd decimals LAST÷No decimals OUTSIDEMultiplying Decimals1 . 2.1 21 . 2. 1 212x 4 . 1x .4 1x . 4 1x 4 . 1x .411 21 21 21 2124 8484 84 8484 9 249 24 9 24 9 2492add 2add 4add 3add 3add 24 . 9 2. 0 4 9 2. 4 9 2. 4 9 24 .92In order to multiply decimals you do NOT have to line them up. In fact, you just multiply thenumbers as though the decimals WERE NOT THERE at all! Then, after you have your answer, you add the decimals by counting the TOTAL number of digits AFTER the decimal point on bothlines, starting at the right of the answer and going left. For example:Notice that on each problem the answer is the same BEFORE the decimals are added.Multiply the following decimal problems.1)0 .7 22)2 63)1 . 2 94).00 2x .0 5x . 3x 3 4x.0 85)2 .2 36)0 . 1 3 57)1 . 0 38)2 .3 1x .0 2x . 4x . 0 7x8 2Dividing DecimalsIn order to divide decimals, no decimals can be on the OUTSIDE of the bracket. In order to get RID of any outside-the-bracket decimals you move each decimal OUTSIDE the bracket one space to the right until there are no decimals AND one space to the right on the INSIDE-the-bracket number to match, as follows.Then put to decimal.0 . 31 . 9 2 7 6so you get31 9 . 2 7 6up where it goes and31 9 .2 7 6forget about it.Now work the problem as a regular division problem.Work the following decimal division problems.1 . 4 31)0 . 30 . 1 2 92). 1 13)0 . 2 7 8 . 1..9.0 90 . 30 . 0 2 7so you get30 . 2 730 . 2 730 .2 71 21 2 00 . 33 60 . 33 6 .33 6 033 6 0?- 3- 3A decimal pointThe decimal points on the0 60 6can be added afteroutside and inside can then- 6- 6the 6.be moved one space to00 0the right.0Remember to bring down the zero and finish the problem!0It is important to note that, once the decimal has been written on the top, a number has to be inEACH space after the decimal point, even if it is a zero. For example:3 will not go into 2,but it will go into 27 9 times……a zeroMUST go in front of the 9.If a number does not have a decimal written, it can be added onto the right end, as it is written inthe case of money. For example:0 . 0 3 50 . 0 1 5 60 . 0 0 3 1 5Work the following decimal division problems. (NOTE: If no decimal is "outside," simply write the decimal point on the answer line above it; there is no need to move decimals points.)3 . 0 4 20 . 4 6 54)0 . 55)1 . 26)0 . 0 0 36 4 . 3 27)68)59)66Decimal Review2 6 0 01)0 . 1 32)1 53)54)3 570.85)(1.2)(2.5) =6)2 67)1 . 0 98). 003x . 3x 3 4x .079)8 3 . 5 2 ÷1 . 610)3 . 0 2 5 ÷511)712)4 51 4 0÷1 . 5PercentsIn order to work percent problems the simplest way is to use the chart below.%PartI SWholeO F100If the problem reads "find 50 %of 28 " you fill in the block, placing 50 in the "%" box and 28 in the "OF" box as follows.%5 0PartI SWholeO F2 8100Next, pretend there is a big "X" over the box. Where the "X" crosses 2 numbers, multiply them ontop of a fraction; place the number that is left alone on the bottom of the fraction as follows.%5 05 0I SO Fx1 0 02 8=1 4 0 01 0 0=1 4PartWhole2 8100Calculate the missing number in the following percent problems.1.25% of what number is 10?2.What is 8% of 320?%%PartI SPartI SWholeO FWholeO F100100Calculate the missing number in the following percent problems.1)3 is what percent of 15?2)20% of what number is 5?3)40% of 65 = 2.5% of what number is 0.4?12 1/2% of what number is 25?6)25% of what number is 125?7)What is 32% of 200?8)40% of what number is 46?9)128 is 50% of what number?10)What is 75% of 536?11) 2.5% of what number is 5?12)3 is what percent of 2.5?13) 40% of 35 = 32 is 50% of what number?25% of what number is 20?16)What is 8% of 50?17) 4.5 is what percent of 15?18)25% of what number is 28?Signed NumbersRules regarding+ -One sign per number;signed numbersBank account ("+" deposit and "-" spend).x ÷Work the number FIRST (WITHOUT using signs).Every two negatives cancel; if one is left over, the whole answer is negative.The first step in adding and subtracting signed numbers is to make sure there is only ONE sign in front of each number. If more than one sign exists, rewrite with one sign, using the rule thattwo of the same sign equals "+" different signs equals "-"For example, in5 - + 2 =the 5 is positive (no sign is always positive), but the 2 has both a - and +in front of it. Since the - and + are different, they will be changed to a " - ", and rewritten5 - 2 =.Rewrite the following equations with only one sign per number.1.- 6 ---4 =2.8 + 9 =3.-7 +--3 =4.- 2 - 5 =However, before actually calculating problems, it is essential that positives and negatives be understood. To write the equation "3 -5 = ?", begin on "3". The "-5" means back 5. On the number line, the answer lands on "-2".Less than zero = negative integers <> Greater than zero = positive integers -9-8 -7 -6-5-4-3-2-1012345678910The "greater than" sign points on the number line to the greater numbers. The "less than" sign points to the lesser/smaller numbers.Answer the following inequality problems, putting <, =,or > in the box.5.726.-497.-6-28.-309.-4-110. 5-311. 0.30.3512. -0.4-0.42To solve the equation "3 -5 = ?", begin on "3". The "-5" means back 5. On the number line, the answer lands on "-2".2.Go left 5 spaces1.Start on 3-9-8-7-6-5-4-3-2-1012345678910Solve the following signed number problems1)- 16 ÷ - 4 =2)- 27 ÷ 9 =3)18 ÷ - 6 =4)- 2 - - 9 =5)-1 + 4 =6)- 6 - - 3 =7)9 + - 6 - 2 =8)5 + - 12 =9)-11 - - 5 =10)- 4 x - 6 =11)5 x - 8 =12)- 6 x 8 =13)- 11 x 6 =14)7 x 8 =15)- 3 x - 9 =16)- 15 ÷ - 3 =17)- 42 ÷ - 6 =18)45 ÷ - 5 =19)- 32 ÷ 8 =20)-1621)- 504- 25ORDER OF OPERATIONSApplying the rules of Order of Operations to numerical expressions:Please Excuse My Dear Aunt Sally is a phrase used to help you remember the order that equations must be solved in!Parentheses (p lease )Exponents (e xcuse )Multiplication (m y ) and Division (dear ) (Work from Left to Right)Addition (a unt) and Subtraction (Sally ) (Work from Left to Right)Simplify each expression by performing the operations in the proper order.1. 7(2 + 7) – 152. 8 + 2(9 – 2)?3. 6(7 – 1) + (3 + 11)4. 45 ÷ (9 + ?6) – 15. 11 + (6 ÷ 2) – 76. 4(12 – 5) – 137. (32 + 4) ÷ 9 + 108. 5 x 5 – 3 x 29. 11(9 – 5) – (8 ÷ ?2)10. 4(28 – 21) + 311. 17 – 3(19 -14)12. 4x13 + 51 ÷ 3Powers, Exponents and Square RootsA "power" is a short-cut for when a number is about to be multiplied a given number of times. For example, 3 x 3 x 3 x 3 x 3 can be written as 3 5 , which is much quicker to write. When written as 3 5 , the "3" is called the base (the number being multiplied) and the "5" is called the exponent (telling how many times the base will be multiplied.) The power 3 5 would be read "3 to the 5th power".Write the following as a power.1.4 x 4 x 4 x 4 x 4 x 42.2 x 2 x 2 x 2 x 2 x 2 x 23.7 x 7 x 74.8 x 8 x 8 x 8 x 8Write out the following powers in long form.5.546.627.358.972 x 2 x 2 x 2 x 2In other words,2 x 2 = 44 x 2 = 848 16 328 x 2 = 1616 x 2 = 32So that all five 2's have been multiplied.The value of a power is found by multiplying them out. If there are more than two products,multiply two at a time until reaching the end, as follows:One special rule is that anything (except for 0 itself) to the "0" power is equal to one.For instance, the number 7 0 is equal to "1" just as 5 0 is equal to "1".Find the values of the following.9.2610. 9011. 3412. 72Roots Roots are the opposites of powers. In order to find the root of a number, 25 for instance, the question to ask becomes "what number times ITSELF is equal to 25? The answer is that 5 times itself (5) equals 25. In other words, the square root (written √) of 25 is 5. Similarly, while 3 2 means 3 x 3, or 9, the square root of 9 = 3, written √ 9 = 3. They are opposites of one another. Any number on the outside of the square root symbol will be multiplied by the square root you solved for.Find the roots of the following.1.√ 812.2 √ 363.4√ 44.√ 165.3√ 16.√ 497.√ 258.3√ 169.√ 1Every positive number has 2 square roots--a positive and a negative one since, as learned in "multiplying signed numbers," two negatives make a positive. For instance, both 3 x 3 AND-3 x -3 equal 9. Therefore, the square root of 9 equals positive 3 AND negative 3.Write both the positive and negative roots of the following.10. √ 111. √ 6412. √ 3613. √ 1614. √ 8115. √ 2516.√ 10017. √ 4Answer GuideForms of FractionsDividing FractionsAdding and PercentsOrder of Operations1P12Subtracting Decimals1201482I22 4/51134.19822521063M31 3/52524.633263504I41/15340.7934164145P45.5035200576M65006157P7647148I81158199IMultiplying Decimals92569481 .0361040210312 7.811200112Reducing FractionsAdding and Subtracting3 43.8612120126911/2Like Fractions4 .00016131421/313/55 .0446146431/221 1/66 .0541580Powers41/434/77 .072116414651/847 2/78 189.42173022761/2511811237373/563 1/4Dividing Decimals4858110.43Signed Numbers55x5x5x591/9Adding and Subtracting2131-6 + 4 =66x6unlike fractions33028 - 9 =73x3x3x3x313 5/840.073-7 - 3 =89x9x9x9x9x9x9Changing a Mixed22/350.0134-2 + 5 =964to improper31/261.055>101113/4710.726<1181265/98.0937<1249317/69.5078<Fractions Review9<Square Roots13 1/2Decimal Review10>19Changing an improper22 2/512000011<212to mixed31 1/320.412>3812 1/342 1/736.25Signed Numbers4421 3/10517/340.2145134 1/2616/5532-36742 4/574/167.83-37551 1/282 1/2737.064+781263 1/291/48.000215+391101/3952.26-3101, -1Multiplying & Dividing111 6/7100.6057+1118, -8Fractions123/4110.058-7126, -611/20131/412309-6134. -421/18141 1/710+24149, -931/10157/9 Percents11-40155, -547/96163/714012-481610, -10171 1/4225.613-66172, -212/15184 5/8145621 1/10195 1/6152731/2203 1/616+547 2/321 1 17/1817+718-919-420-421+2 ................
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