Noteables Interactive Study Notebook - McGraw-Hill Higher Education

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1–5 Problem-Solving Investigation:Guess and CheckEXAMPLE Use Guess and Check StrategyMAIN IDEA• Solve problems usingthe guess and checkstrategy.CONCESSIONS The concession stand at the school playsold lemonade for $0.50 and cookies for $0.25. They sold7 more lemonades than cookies, and they made a total of$39.50. How many lemonades and cookies were sold?UNDERSTAND You know the cost of each lemonade andcookie. You know the total amount madeand that they soldmore lemonadesthan cookies. You need to know how manylemonades and cookies were sold.PLANSOLVEMake a guess and check it. Adjust the guessuntil you get the correct answer.Make a guess.14 cookies, 21 lemonades 0.25 (14) + 0.50 (21)This guess is too . =HOMEWORKASSIGNMENTPage(s):Exercises:CHECK50 cookies, 57 lemonades 0.25 (50) + 0.50 (57)This guess is too . =48 cookies, 55 lemonades 0.25 (48) + 0.50 (55)48 cookies cost $12 and 55 lemonades cost$27.50. Since $12 + $27.50 = $39.50 and 55 is7 more than 48, the guess is correct.Check Your Progress ZOO A total of 122 adults andchildren went to the zoo. Adult tickets cost $6.50 and children’stickets cost $3.75. If the total cost of the tickets was $597.75,how many adults and children went to the zoo?=Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.12 Math Connects, Course 2
1–6 Algebra: Variables and ExpressionsMAIN IDEA• Evaluate simplealgebraic expressions.BUILD YOUR VOCABULARY (pages 2–3)You can use a, or variable, in an expression.The expression 7 + n is called anexpression.The branch of mathematics that involves expressionswithTheis called algebra.factor of a term that contains avariable is called a coefficient.EXAMPLES Evaluate ExpressionsEvaluate t - 4 if t = 6.t - 4 = 6 - Replace t with .Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.= Subtract.Evaluate 5x + 3y if x = 7 and y = 9.5x + 3y = 5 · + 3 · Replace x withand with 9.= + Do all multiplications fi rst.= Add and 27.Evaluate 5 + a 2 if a = 5.5 + a 2 = 5 + 5 2 Replace a with .= 5 + Evaluate the .= Add.Math Connects, Course 2 13
Page 1 and 2: Contributing AuthorDinah Zike®Cons
Page 3: ContentsFoldables . . . . . . . . .
Page 6 and 7: Members who do not reside in the UK
Page 8 and 9: NOTE-TAKING TIPSYour notes are a re
Page 10 and 11: C H A P T E R1BUILD YOUR VOCABULARY
Page 12 and 13: 1-1A Plan for Problem SolvingEXAMPL
Page 14 and 15: 1-2 Powers and ExponentsMAIN IDEA
Page 16 and 17: 1-3 Squares and Square RootsMAIN ID
Page 18 and 19: 1-4 Order of OperationsMAIN IDEA•
Page 22 and 23: 1-6®ORGANIZE ITRecord and evaluate
Page 24 and 25: 1-7EXAMPLETEST EXAMPLE A store sell
Page 26 and 27: 1-8 Algebra: PropertiesMAIN IDEA•
Page 28 and 29: 1-9 Algebra: Arithmetic SequencesMA
Page 30 and 31: 1-9Each term is 2 times its positio
Page 32 and 33: 1-10Check Your Progress MOVIE RENTA
Page 34 and 35: C H A P T E R1BRINGING IT ALL TOGET
Page 36 and 37: Chapter 1 BRINGING IT ALL TOGETHER1
Page 38 and 39: C H A P T E R1ChecklistARE YOU READ
Page 42 and 43: 2-1 Integers and Absolute ValueMAIN
Page 44 and 45: 2-2 Comparing and Ordering Integers
Page 48 and 49: 2-3EXAMPLES Identify QuadrantsGEOGR
Page 50 and 51: 2-4KEY CONCEPTAdding Integers withD
Page 53 and 54: 2-5EXAMPLE Evaluate an ExpressionAL
Page 55 and 56: 2-6Check Your Progress Multiply.a.
Page 57 and 58: 2-8 Dividing IntegersEXAMPLES Divid
Page 59 and 60: Chapter 2 BRINGING IT ALL TOGETHER2
Page 61 and 62: C H A P T E R2ChecklistARE YOU READ
Page 65 and 66: 3-1Writing Expressions and Equation
Page 67 and 68: 3-2 Solving Addition and Subtractio
Page 69 and 70: 3-3 Solving Multiplication Equation
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3-4 Problem-Solving Investigation:W
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3-5Solve -3c + 9 = 3.-3c + 9 = 3 Wr
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3-6 Measurement: Perimeter and Area
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3-1 3-7Functions and GraphsEXAMPLEM
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3-7EXAMPLE Represent Real-World Fun
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Chapter 3 BRINGING IT ALL TOGETHER3
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C H A P T E R3ChecklistARE YOU READ
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C H A P T E R4BUILD YOUR VOCABULARY
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4-1Prime FactorizationMAIN IDEA•
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4-2Greatest Common FactorMAIN IDEA
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4-2The largest length of side possi
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4-4 Simplifying FractionsMAIN IDEA
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4-5 Fractions and DecimalsEXAMPLES
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4-5EXAMPLES Write Fractions as Repe
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®ORGANIZE ITUnder the tab forLesso
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4-7EXAMPLE Write Decimals as Percen
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4-8Find the LCM of 4 and 15.Use Met
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4-9Check Your Progressmake a true s
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REMEMBER ITSome fractions areeasy t
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WRITE ITExplain what happensto deno
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11 - 8 2 _35-311- 8 2_ 3̲̲̲- 8 _
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5-5Multiplying Fractions and Mixed
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5-6 Algebra: Solving EquationsMAIN
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5-7 Dividing Fractions and Mixed Nu
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C H A P T E R5 BRINGING IT ALL TOGE
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6-1RatiosMAIN IDEA• Write ratios
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6-2 RatesMAIN IDEA• Determine uni
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6-2Check Your ProgressMULTIPLE CHOI
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6-3BUILD YOUR VOCABULARY (pages 121
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6-4EXAMPLES Convert Smaller Units t
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6-5 Measurement: Changing Metric Un
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6-5EXAMPLES Convert Between Measure
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6-6Check Your Progress Determine if
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6-8Scale DrawingsMAIN IDEA• Solve
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6-8Check Your Progress On a bluepri
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6-9KEY CONCEPTSCommon Fraction/Deci
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7-1Percent of a NumberEXAMPLE Find
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7-2The Percent ProportionMAIN IDEA
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7-3 Percent and EstimationEXAMPLEMA
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7-4 Algebra: The Percent EquationMA
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7-5 Problem-Solving Investigation:D
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7-6Check Your Progress DVDs Last ye
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7-7EXAMPLE Find the Sale PriceREMEM
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7-8Simple InterestMAIN IDEA• Solv
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C H A P T E R7BRINGING IT ALL TOGET
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8-1Line PlotsMAIN IDEA• Display a
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8-1 8-2 Measures of Central Tendenc
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8-2EXAMPLETEST EXAMPLE The average
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8-3Step 2 List the stems 0 toin ord
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8-3EXAMPLE Effects of OutliersANIMA
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8-4Check Your Progress Runner Miles
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8-4EXAMPLES Analyze Data to Make In
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8-6Using Graphs to PredictMAIN IDEA
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8-7 Using Data to PredictMAIN IDEA
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8-8Using Sampling to PredictMAIN ID
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8-9 Misleading StatisticsEXAMPLE Ch
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C H A P T E R9 Probability®Use the
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Chapter 9 BUILD YOUR VOCABULARYVoca
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9-1REVIEW ITExplain how to subtract
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9-2EXAMPLETEST EXAMPLE Amy was tryi
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9-3 The Fundamental Counting Princi
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9-4EXAMPLE Find a Permutation®ORGA
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9-5REMEMBER ITTo find a combination
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9-7 Theoretical and Experimental Pr
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9-8Compound EventsMAIN IDEA• Find
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C H A P T E R10BUILD YOUR VOCABULAR
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10-1Angle RelationshipsBUILD YOUR V
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10-2REMEMBER ITWhen two anglesare c
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10-3• Label each section of thegr
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10-3EXAMPLES Analyze a Circle Graph
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10-6 QuadrilateralsMAIN IDEA• Ide
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10-7Similar FiguresMAIN IDEA• Det
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10-8Polygons and TessellationsMAIN
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10-9 TranslationsMAIN IDEA• Graph
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10-10 ReflectionsMAIN IDEA• Ident
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10-10EXAMPLE Reflect a Figure over
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Chapter 10 BRINGING IT ALL TOGETHER
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C H A P T E R10ChecklistARE YOU REA
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C H A P T E R11BUILD YOUR VOCABULAR
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11-1Area of ParallelogramsMAIN IDEA
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11-2KEY CONCEPTA = 1_ 2 h( b 1 + b
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REMEMBER ITAll circumferencesare es
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11-6 Area of Composite FiguresMAIN
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11-7 Three-Dimensional FiguresMAIN
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11-8 Drawing Three-Dimensional Figu
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11-9Volume of PrismsMAIN IDEA• Fi
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11-10EXAMPLECOFFEE How much coffee
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C H A P T E R12Geometry and Measure
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12-1Estimating Square RootsEXAMPLE
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12-2 The Pythagorean TheoremMAIN ID
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12-2EXAMPLE Find the Length of a Le
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12-4 Surface Area of Rectangular Pr
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12-4EXAMPLEBOXES Drew is putting to
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12-5®ORGANIZE ITInclude informatio
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C H A P T E R12ChecklistARE YOU REA
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