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5–7EXAMPLE Simplify Before MultiplyingFind 3 _7 × 2 _9 .Estimate 1_2 × 2_9 =The numerator 3 and the denominator 9 have a commonfactor. Divide both the numerator and denominator by .®ORGANIZE ITRecord what you learnabout multiplyingfractions on the notecards in your Foldable. Asyou learn the concepts,move the note cardsfrom the Need to Knowpocket to the Knowpocket in your Foldable.3_7 × 2_9 = 31__ × 27 × 93= Simplify. Compare to the estimate.Check Your Progress Find3_8 × 4_5 .What I know:What I needto know:HOMEWORKASSIGNMENTPage(s):Exercises:EXAMPLE Evaluate ExpressionsALGEBRA Evaluate pq if p = 3 _4 and q = 8 _9 .pq = × Replace p with and= _ 3 × 84 × 9q with .The GCF of 3 and 9 is 3. The GCFof 4 and 8 is 4. Divide both thenumerator and the denominator by3 and then by 4.= Simplify.Check Your Progress Evaluate xy if x =3_ and y =4_4 9 .Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.130 Math Connects, Course 1
5–8Multiplying Mixed NumbersMAIN IDEA• Multiply mixednumbers.EXAMPLE Multiply a Fraction and a Mixed NumberFind 1 _3 × 6 3 _7 .Estimate Use compatible numbers1_3 × 6 3 _7 = 1_3 × Write 6 3 _7 as .1_3 × == 1 × 4515__3 × 7 Divide 45 and 3 by their GCF, 3.1= or Simplify. Compare to the estimate.Check Your Progress Find1_4 × 4 2_5 .Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.KEY CONCEPTMultiplying MixedNumbers To multiplymixed numbers, writethe mixed numbers asimproper fractions andthen multiply as withfractions.EXAMPLE Multiply Mixed NumbersDISTANCES Belinda lives 1 _ 1 times farther from school2than Jamie does. If Jamie lives 4 _ 1 miles from school,5how far from school does Belinda live?Jamie lives 4 1_5miles from school. Multiply 41_5by 11_2 .4 1_5 × 1 1_2 = × First, write mixed numbers asimproper fractions.= ___Then, multiply thenumerators and thedenominators.= or Simplify.Belinda livesmiles from school.Math Connects, Course 1 131
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ContentsCopyright © Glencoe/McGraw
Page 7 and 8:
1-5 Algebra: Variables and Expressi
Page 9 and 10:
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•
Page 18 and 19:
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
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2-6 MeanMAIN IDEA• Find the mean
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2-7 Median, Mode, and RangeMAIN IDE
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2-7ORGANIZE ITUnder Lesson 2-7 in y
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2-8EXAMPLESSelect an appropriatetyp
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2-9Check Your ProgressGraph -5 on a
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Chapter 2 BRINGING IT ALL TOGETHERW
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C H A P T E R3Operations with Decim
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3-1Representing DecimalsMAIN IDEA
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3-2Comparing and Ordering DecimalsM
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3-3 Rounding DecimalsEXAMPLE Round
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3-4 Estimating Sums and Differences
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3-4Read the ItemThe addends are clu
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3-5WRITE ITExplain in your ownwords
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3-6 Multiplying Decimals by Whole N
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3-7Multiplying DecimalsEXAMPLES Mul
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3-8Dividing Decimals by Whole Numbe
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3-9EXAMPLES Zeros in the Quotient a
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3-10 Problem-Solving Investigation:
Page 88 and 89: Chapter 3 BRINGING IT ALL TOGETHER3
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 100 and 101: 4-2BUILD YOUR VOCABULARY (pages 86-
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 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
Page 150 and 151: C H A P T E R5ChecklistARE YOU READ
Page 152 and 153: C H A P T E R6BUILD YOUR VOCABULARY
Page 154 and 155: 6-1 Ratios and RatesMAIN IDEA• Ex
Page 156 and 157: 6-2 Ratio TablesMAIN IDEA• Use ra
Page 158 and 159: 6-2BUILD YOUR VOCABULARY (pages 144
Page 160 and 161: 6-3FOOD You can buy 3 medium pizzas
Page 162 and 163: 6-4Algebra: Solving ProportionsEXAM
Page 164 and 165: 6-4EXAMPLE Solve Using Unit RatesWA
Page 166 and 167: 6-6 Sequences and ExpressionsMAIN I
Page 168 and 169: 6-6EXAMPLETEST EXAMPLE The table sh
Page 170 and 171: 6-7Write an equation to find the to
Page 172 and 173: C H A P T E R6BRINGING IT ALL TOGET
Page 176 and 177: C H A P T E R7Percent and Probabili
Page 178 and 179: Chapter 7 BUILD YOUR VOCABULARYVoca
Page 180 and 181: 7-1Check Your Progress Write each p
Page 182 and 183: 7-2Circle GraphsMAIN IDEA• Sketch
Page 184 and 185: 7-2Which two methods of transportat
Page 186 and 187: 7-3EXAMPLES Write a Decimal as a Pe
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7-4BUILD YOUR VOCABULARY (pages 169
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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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Chapter 8 BUILD YOUR VOCABULARYVoca
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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 R8ChecklistARE YOU READ
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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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