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6–4Algebra: Solving ProportionsEXAMPLES Solve Using Equivalent FractionsMAIN IDEA• Solve proportions.Solve each proportion.4__5 = 28xFind a value for x so the fractions are equivalent.× 74_5 = _ 28x× 7Since 4 × 7 = 28, multiply the numeratorand denominator by 7.4_5 =Since 5 × 7 = 35, x = .b__5 = 1620× 4b_5 = _ 1620× 4= 16 _20Since 4 × 4 = 16, b = ._ 1938 = _ n2219_÷ 2 ÷ 22238 = n _So, n = .a. _ 3 8 = _ 9 xSince 5 × 4 = 20, multiply the numeratorand denominator by 4.Since 38 ÷ 2 = 19, divide eachdenominator by 2.19_ = THINK What is 22 divided by 2?38Check Your Progress Solve each proportion.b. _ 1824 = _ m c. 12_448 = _ f28Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.154 Math Connects, Course 1
6–4ORGANIZE ITWrite the definitionof proportion in yourown words under theProportion tab in yourFoldable. then writea few examples andshow how to find theirsolutions.® EXAMPLE Make Predictions in Proportional SituationsSPORTS Out of the 40 students in a gym class,12 rate soccer as their favorite sport. Based on thisresult, predict how many of the 4,200 students in thecommunity would rate soccer as their favorite sport.Write and solve a proportion. Let s represent the number ofstudents who can be expected to rate soccer as their favoritesport.Classsoccer asfavorite sporttotal students__40=s__Communitysoccer asfavorite sporttotal students12_40 = s_4,200Since 40 × 105 = 4,200,multiply the numeratorand denominator by 105.12_40 =Of the students in the community, aboutexpected to rate soccer as their favorite sport.can beCopyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Check Your Progress BUSINESS Out of 50 people inone department of a large corporation, 35 stated that theyenjoy their job. Based on this result, how many of the 2,400employees of this corporation can be expected to say that theyenjoy their job?Math Connects, Course 1 155
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ContentsCopyright © Glencoe/McGraw
Page 7 and 8:
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
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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:
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C H A P T E R4BUILD YOUR VOCABULARY
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4-1A Plan for Problem SolvingMAIN I
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4-1EXAMPLESWRITE ITWhy is the great
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4-2BUILD YOUR VOCABULARY (pages 86-
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4-3 Mixed Numbers and Improper Frac
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4-4 Problem-Solving Investigation:M
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4-5EXAMPLE Find the LCMREVIEW ITWhy
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4-6ORGANIZE ITSummarize ways you ca
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4-7 Writing Decimals as FractionsMA
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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 120 and 121: Chapter 4 BRINGING IT ALL TOGETHER4
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
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 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
Page 190 and 191: 7-5Sample SpacesBUILD YOUR VOCABULA
Page 194 and 195: 7-6REVIEW ITUse mental math to solv
Page 196 and 197: 7-8 Estimating with PercentsMAIN ID
Page 198 and 199: 7-8EXAMPLETEST EXAMPLE Clairesurvey
Page 204 and 205: C H A P T E R8Systems of Measuremen
Page 206 and 207: Chapter 8 BUILD YOUR VOCABULARYVoca
Page 208 and 209: 8-1Check Your Progress CRAYONS Meas
Page 210 and 211: 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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9-5BUILD YOUR VOCABULARY (pages 219
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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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