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12–4Solving Subtraction EquationsEXAMPLE Solve an Equation by AddingMAIN IDEA• Solve subtractionequations.Solve x - 5 = 10.METHOD 1 Use models. Model the equation.x - 5 = 10Add 5 positive counters toeach side of the mat.Remove the zero pairs.KEY CONCEPTx - 5 + = 10 +Addition Property ofEquality If you add thesame number to eachside of an equation, thetwo sides remain equal.x =METHOD 2 Use symbols.x - 5 = 10x - 5 = 10Write the equation.Add 5 to each side to undo thesubtraction of 5 on the left.+ = + Add to each side._______x =The solution is .Simplify.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Check Your Progress Solve w - 3 = 9.300 Math Connects, Course 1
12–4BUILD YOUR VOCABULARY (page 292)The Addition Property of Equality can be used to solve anequation bythe same number to eachside of the equation.EXAMPLE Solve a Subtraction EquationSolve x - 5 = -1. Check your solution.x - 5 = -1 Write the equation.+ = + Add to each side._______x =Simplify.The solution is . Check 4 - 5 = -1 ✔Check Your ProgressSolve d - 8 = -5. Check your solution.EXAMPLECopyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.HOMEWORKASSIGNMENTPage(s):Exercises:WEATHER The difference between the record highand low temperatures in Oregon is 173°F. The recordlow temperature is -54°F. What is the record hightemperature in degrees Fahrenheit?You need to find the record high temperature. Write and solvean equation. Let x represent the high temperature.x - (-54) = 173Write the equation.x + = 173 Defi nition of subtraction- = - Subtract from each side.________x = Simplify.The record high temperature is .Check Your Progress AGES The difference between theage of Julie’s mother and Julie’s age is 27 years. Julie’s age is 6.What is the age of Julie’s mother?Math Connects, Course 1 301
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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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10-2Circles and CircumferenceMAIN I
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10-2Check Your Progress Use a calcu
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Page 261 and 262: 10-6Volume of Rectangular PrismsMAI
Page 263 and 264: 10-7Surface Area of Rectangular Pri
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
Page 285 and 286: 11-7point SStep 1 Start at the orig
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 and 304: 12-2Simplifying Algebraic Expressio
Page 305 and 306: 12-3Solving Addition EquationsMAIN
Page 307: 12-1 12-3BUILD YOUR VOCABULARY (pag
Page 311 and 312: 12-5EXAMPLE Solve a Multiplication
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