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12–3EXAMPLE Solve an Equation by Using Zero PairsKEY CONCEPTSubtraction Property ofEquality If you subtractthe same number fromeach side of an equation,the two sides remainequal.Solve x + 11 = 7. Check your solution.METHOD 1 Use models. Model the equation.x + 11 = 7 Add 4 zero pairs to theright side of the mat sothere are 11 positivecounters on the right.x + 11 = 7 Remove 11 positivecounters from each side.x + 11 - = 7 -x =METHOD 2 Use symbols.x + 11 = 7x + 11 = 7Write the equation.Subtract 11 from eachside to undo x plus 11.- = - Subtract 11 from each side._______x = 7 - =The solution is . Check -4 + 11 = 7 ✔Check Your Progressif nececssary.Solve each equation. Use modelsa. m + 9 = 3 b. x + 7 = 13Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.298 Math Connects, Course 1
12–1 12–3BUILD YOUR VOCABULARY (page 292)The Subtraction Property of Equality can be used to solvean equation bythe same number fromeach side of the equation.EXAMPLEPENNSYLVANIA The width of Pennsylvania (from northto south) is 280 miles. This is 120 miles more than thelength of the state (from east to west). Write and solve anaddition equation to find the length of Pennsylvania.Wordslength plus 120 miles is 280 milesVariableLet x represent the length of Pennsylvania.Equation+ =x + 120 = 280Write the equation.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.HOMEWORKASSIGNMENTPage(s):Exercises:________-120 = -120 Subtract 120 from each side.x = 280 - 120 =So, the width of Pennsylvania ismiles.Check Your Progress INTERNET Steve was on theInternet for 40 minutes last night. This was 15 more minutesthan Beth spent on the Internet the same night. Write andsolve an addition equation to find the amount of time Bethspent on the Internet last night.Math Connects, Course 1 299
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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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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
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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 and 304: 12-2Simplifying Algebraic Expressio
Page 305: 12-3Solving Addition EquationsMAIN
Page 309 and 310: 12-4BUILD YOUR VOCABULARY (page 292
Page 311 and 312: 12-5EXAMPLE Solve a Multiplication
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