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4–2BUILD YOUR VOCABULARY (pages 86–87)A fraction is in simplest form when the GCF of thenumerator and denominator is 1.EXAMPLE Write Fractions in Simplest Form_Write 14 in simplest form.42KEY CONCEPTSimplest Form To write afraction in simplest form,you can either:• divide the numeratorand denominator bycommon factors untilthe only commonfactor is 1, or• divide the numeratorand denominator bythe GCF.METHOD 1 Divide by common factors.A common factor of 14 and 42 is 2. A common factorof 7 and 21 is 7.÷ 214_42 = _ 721 = __÷ 2Since 1 and 3 have no common factor greater than 1, thefraction÷ 7÷ 7is in simplest form.METHOD 2 Divide by the GCF.factors of 14:ORGANIZE ITUnder the fractionstab of your Foldable,summarize how toexpress fractions in theirsimplest forms.® factors of 42:The GCF of 14 and 42 is .÷ 14_ 1442 = __÷ 14Divide the numerator anddenominator by the GCF, .Since the GCF of 1 and 3 is 1, the fractionform.Check Your Progress Write21_ in simplest form.35is in simplestCopyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.92 Math Connects, Course 1
4–2EXAMPLEGYMNASTICS Lin practices gymnastics 16 hours eachweek. There are 168 hours in a week. Express thefraction _ 16 in simplest form.168The GCF of 16 and 168 is .2_ 16= Mentally divide both the and16821by 8.So, Lin practices gymnastics for21 hours of the week.or 2 out of everyCheck Your Progress TRANSPORTATION Thereare 244 students at Longfellow Elementary School. Of thosestudents, 168 ride a school bus to get to school. Express thefraction _ 168 in simplest form.244Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.HOMEWORKASSIGNMENTPage(s):Exercises:Math Connects, Course 1 93
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ContentsCopyright © Glencoe/McGraw
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1-5 Algebra: Variables and Expressi
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C H A P T E R1 Number Patterns and
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Chapter 1 BUILD YOUR VOCABULARYVoca
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1-2 Prime FactorsMAIN IDEA• Find
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1-3Powers and ExponentsMAIN IDEA•
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1-4 Order of OperationsMAIN IDEA•
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1-4ORGANIZE ITOn the Lesson 1-4 tab
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1-5REMEMBER ITIn algebra, thesymbol
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1-6EXAMPLE Find the Rule for a Func
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1-8 Algebra: EquationsMAIN IDEA•
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1-9Algebra: Area FormulasMAIN IDEA
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Chapter 1 BRINGING IT ALL TOGETHER1
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C H A P T E R1ChecklistARE YOU READ
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P T A E RH C2BUILD YOUR VOCABULARYT
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2-1 Problem-Solving Investigation:M
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2-2Step 1 Decide on a scale and . T
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2-2Check Your Progress SNOWFALL Mak
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2-3Check Your Progress INCOME The a
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2-4ORGANIZE ITUnder Lesson 2-4 in y
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2-5 Line PlotsEXAMPLE Display Data
Page 49 and 50: 2-6 MeanMAIN IDEA• Find the mean
Page 51 and 52: 2-7 Median, Mode, and RangeMAIN IDE
Page 53 and 54: 2-7ORGANIZE ITUnder Lesson 2-7 in y
Page 55 and 56: 2-8EXAMPLESSelect an appropriatetyp
Page 57 and 58: 2-9Check Your ProgressGraph -5 on a
Page 59 and 60: Chapter 2 BRINGING IT ALL TOGETHER2
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Page 63 and 64: C H A P T E R3Operations with Decim
Page 65 and 66: 3-1Representing DecimalsMAIN IDEA
Page 67 and 68: 3-2Comparing and Ordering DecimalsM
Page 69 and 70: 3-3 Rounding DecimalsEXAMPLE Round
Page 71 and 72: 3-4 Estimating Sums and Differences
Page 73 and 74: 3-4Read the ItemThe addends are clu
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Page 77 and 78: 3-6 Multiplying Decimals by Whole N
Page 79 and 80: 3-7Multiplying DecimalsEXAMPLES Mul
Page 81 and 82: 3-8Dividing Decimals by Whole Numbe
Page 84 and 85: 3-9EXAMPLES Zeros in the Quotient a
Page 86 and 87: 3-10 Problem-Solving Investigation:
Page 92 and 93: C H A P T E R3ChecklistARE YOU READ
Page 94 and 95: C H A P T E R4BUILD YOUR VOCABULARY
Page 96 and 97: 4-1A Plan for Problem SolvingMAIN I
Page 98 and 99: 4-1EXAMPLESWRITE ITWhy is the great
Page 102 and 103: 4-3 Mixed Numbers and Improper Frac
Page 104 and 105: 4-4 Problem-Solving Investigation:M
Page 106 and 107: 4-5EXAMPLE Find the LCMREVIEW ITWhy
Page 108 and 109: 4-6ORGANIZE ITSummarize ways you ca
Page 110 and 111: 4-7 Writing Decimals as FractionsMA
Page 112 and 113: 4-8 Writing Fractions as DecimalsMA
Page 114 and 115: 4-9Algebra: Ordered Pairs and Funct
Page 116 and 117: 4-9EXAMPLESPETS Amelia feeds her do
Page 118 and 119: Chapter 4 BRINGING IT ALL TOGETHERM
Page 122 and 123: C H A P T E R5Operations with Fract
Page 124 and 125: 5-1 Rounding Fractions and Mixed Nu
Page 126 and 127: 5-2Problem-Solving Investigation: A
Page 128 and 129: 5-3®ORGANIZE ITUse the note cards
Page 130 and 131: 5-4Check Your Progresssimplest form
Page 132 and 133: 5-5 Adding and Subtracting Mixed Nu
Page 134 and 135: 5-5REMEMBER ITUse estimation tochec
Page 136 and 137: 5-6REMEMBER ITPlacing fractions ona
Page 138 and 139: 5-7EXAMPLE Simplify Before Multiply
Page 140 and 141: 5-8Check Your Progress WEIGHT A bag
Page 142 and 143: 5-9Find 5 ÷ 1 _6 .5 ÷ 1_6 = _ 5
Page 144 and 145: 5-10EXAMPLEADVENTURE RACING A team
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C H A P T E R6BUILD YOUR VOCABULARY
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6-1 Ratios and RatesMAIN IDEA• Ex
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6-2 Ratio TablesMAIN IDEA• Use ra
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6-2BUILD YOUR VOCABULARY (pages 144
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6-3FOOD You can buy 3 medium pizzas
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6-4Algebra: Solving ProportionsEXAM
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6-4EXAMPLE Solve Using Unit RatesWA
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6-6 Sequences and ExpressionsMAIN I
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6-6EXAMPLETEST EXAMPLE The table sh
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6-7Write an equation to find the to
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C H A P T E R6BRINGING IT ALL TOGET
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C H A P T E R7Percent and Probabili
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7-1Check Your Progress Write each p
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7-2Circle GraphsMAIN IDEA• Sketch
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7-2Which two methods of transportat
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7-3EXAMPLES Write a Decimal as a Pe
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7-5Sample SpacesBUILD YOUR VOCABULA
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7-6REVIEW ITUse mental math to solv
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7-8 Estimating with PercentsMAIN ID
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7-8EXAMPLETEST EXAMPLE Clairesurvey
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C H A P T E R8Systems of Measuremen
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8-1Check Your Progress CRAYONS Meas
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8-2EXAMPLES Change Units of WeightE
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8-3REMEMBER ITOne centimeter isabou
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8-4Check Your Progress Write the me
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8-6 Changing Metric UnitsEXAMPLES C
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8-7Measures of TimeEXAMPLE Add Unit
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8-8EXAMPLES Give Reasonable Tempera
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C H A P T E R9BUILD YOUR VOCABULARY
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9-1 Measuring AnglesMAIN IDEA• Me
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203015030150170109-2Estimating and
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9-3Angle RelationshipsMAIN IDEA•
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9-4 TrianglesBUILD YOUR VOCABULARY
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9-4EXAMPLES Classify a Triangle by
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9-7 Similar and Congruent FiguresMA
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9-7EXAMPLE Identify Similar Figures
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P T A E RH C9ChecklistARE YOU READY
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C H A P T E R10BUILD YOUR VOCABULAR
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10-1PerimeterMAIN IDEA• Find the
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10-2Circles and CircumferenceMAIN I
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10-2Check Your Progress Use a calcu
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10-3Check Your Progress Find the ar
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10-4®ORGANIZE ITWrite the formula
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10-6Volume of Rectangular PrismsMAI
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10-7Surface Area of Rectangular Pri
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C H A P T E R10BRINGING IT ALL TOGE
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Chapter 10 BRINGING IT ALL TOGETHER
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C H A P T E R11Integers and Transfo
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11-1 Ordering IntegersEXAMPLE Compa
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11-2Adding IntegersEXAMPLES Add Int
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11-2KEY CONCEPTAdding Integers The
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11-3WRITE ITThink about the numberl
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11-4Multiplying IntegersEXAMPLES Mu
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11-6Dividing IntegersEXAMPLES Divid
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11-6EXAMPLETEST EXAMPLE A scuba div
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11-7point SStep 1 Start at the orig
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11-8EXAMPLE Graph a TranslationTran
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11-9 ReflectionsMAIN IDEA• Graph
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11-10 RotationsMAIN IDEA• Graph r
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C H A P T E R12Algebra: Properties
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12-1The Distributive PropertyMAIN I
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12-2Simplifying Algebraic Expressio
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12-3Solving Addition EquationsMAIN
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12-1 12-3BUILD YOUR VOCABULARY (pag
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12-4BUILD YOUR VOCABULARY (page 292
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12-5EXAMPLE Solve a Multiplication
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