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12–2®ORGANIZE ITUnder the Lesson 12-2tab of your Foldable,record what you learnabout the Commutativeand AssociativeProperties. Includeexamples for additionand multiplication.Algebra:PropertiesandEquations11-111-211-311-41-51-6Check Your ProgressSimplify each expression.a. 3 + (5 + x) b. (11 + x) + 8 c. 4(7x)BUILD YOUR VOCABULARY (page 292)Like terms contain the same , such as x,2x, and 3x.EXAMPLE Use Models to Simplify ExpressionsSimplify the expression 6x + 3 + 2x.Use six x-tiles to model , three 1-tiles to model , andtwo x-tiles to model .1 1x x x x x x + +1xxHOMEWORKASSIGNMENTPage(s):Exercises:The like terms are and because the x-tiles havethe same shape. There are eight x-tiles and three 1-tiles.So, 6x + 3 + 2x = + .Check Your Progress Simplify the expression5x + 4 + 2x.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.296 Math Connects, Course 1
12–3Solving Addition EquationsMAIN IDEA• Solve additionequations.BUILD YOUR VOCABULARY (page 292)Inverse operations are operations that undo each other,such as addition and subtraction.EXAMPLE Solve an Equation by SubtractingSolve x + 4 = 5.METHOD 1 Use models.Model the equation.x + 4 = 5Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.x + 4 - = 5 -x =METHOD 2 Use symbols.x + 4 = 5x + 4 = 5- = -_______Remove 4 counters fromeach side.Write the equation.x = 5 - =Subtract 4 from each side to“undo” the addition of 4 on the left.The solution is .Math Connects, Course 1 297
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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
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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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4-8 Writing Fractions as DecimalsMA
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4-9Algebra: Ordered Pairs and Funct
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4-9EXAMPLESPETS Amelia feeds her do
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Chapter 4 BRINGING IT ALL TOGETHERM
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C H A P T E R5Operations with Fract
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5-1 Rounding Fractions and Mixed Nu
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5-2Problem-Solving Investigation: A
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5-3®ORGANIZE ITUse the note cards
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5-4Check Your Progresssimplest form
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5-5 Adding and Subtracting Mixed Nu
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5-5REMEMBER ITUse estimation tochec
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5-6REMEMBER ITPlacing fractions ona
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5-7EXAMPLE Simplify Before Multiply
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5-8Check Your Progress WEIGHT A bag
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5-9Find 5 ÷ 1 _6 .5 ÷ 1_6 = _ 5
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5-10EXAMPLEADVENTURE RACING A team
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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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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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Page 261 and 262: 10-6Volume of Rectangular PrismsMAI
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Page 265 and 266: C H A P T E R10BRINGING IT ALL TOGE
Page 267 and 268: Chapter 10 BRINGING IT ALL TOGETHER
Page 269 and 270: C H A P T E R11Integers and Transfo
Page 271 and 272: 11-1 Ordering IntegersEXAMPLE Compa
Page 273 and 274: 11-2Adding IntegersEXAMPLES Add Int
Page 275 and 276: 11-2KEY CONCEPTAdding Integers The
Page 277 and 278: 11-3WRITE ITThink about the numberl
Page 279 and 280: 11-4Multiplying IntegersEXAMPLES Mu
Page 281 and 282: 11-6Dividing IntegersEXAMPLES Divid
Page 283 and 284: 11-6EXAMPLETEST EXAMPLE A scuba div
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Page 287 and 288: 11-8EXAMPLE Graph a TranslationTran
Page 289 and 290: 11-9 ReflectionsMAIN IDEA• Graph
Page 291 and 292: 11-10 RotationsMAIN IDEA• Graph r
Page 299 and 300: C H A P T E R12Algebra: Properties
Page 301 and 302: 12-1The Distributive PropertyMAIN I
Page 303: 12-2Simplifying Algebraic Expressio
Page 307 and 308: 12-1 12-3BUILD YOUR VOCABULARY (pag
Page 309 and 310: 12-4BUILD YOUR VOCABULARY (page 292
Page 311 and 312: 12-5EXAMPLE Solve a Multiplication
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