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Lesson 6 Homework Practice Add Linear Expressions Answers Yahoo

Chapter 1

Chapter 1

1-1Expressions and FormulasSkills Practicep.1
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1-2Properties of Real NumbersSkills Practicep.3
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1-3Solving EquationsSkills Practicep.5
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1-4Solving Absolute Value EquationsSkills Practicep.7
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1-5Solving InequalitiesSkills Practicep.9
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1-6Solving Compound and Absolute Value InequalitiesSkills Practicep.11
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Chapter 2

Chapter 2

2-1Relations and FunctionsSkills Practicep.13
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2-2Linear Relations and FunctionsSkills Practicep.15
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2-3Rate of Change and SlopeSkills Practicep.17
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2-4Writing Linear EquationsSkills Practicep.19
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2-5Scatter Plots and Lines of RegressionsSkills Practicep.21
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2-6Special FunctionsSkills Practicep.23
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2-7Parent Functions and TransformationsSkills Practicep.25
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2-8Graphing Linear Absolute Value InequalitiesSkills Practicep.27
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Chapter 3

Chapter 3

3-1Solving Systems of Equations by GraphingSkills Practicep.29
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3-2Solving Systems of Equations AlgebraicallySkills Practicep.31
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3-3Solving Systems of Inequalities by GraphingSkills Practicep.33
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3-4Optimization with Linear ProgrammingSkills Practicep.35
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3-5Systems of Equations in Three VariablesSkills Practicep.37
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Chapter 4

Chapter 4

4-1Introduction to MatricesSkills Practicep.39
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4-2Operations with MatricesSkills Practicep.41
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4-3Multiplying MatricesSkills Practicep.43
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4-4Transformations with MatricesSkills Practicep.45
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4-5Determinants and Cramer's RuleSkills Practicep.47
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4-6Inverse Matrices and Systems of EquationsSkills Practicep.49
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Chapter 5

Chapter 5

5-1Graphing Quadratic EquationsSkills Practicep.51
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5-2Solving Quadratic Equations by GraphingSkills Practicep.53
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5-3Solving Quadratic Equations by FactoringSkills Practicep.55
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5-4Complex NumbersSkills Practicep.57
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5-5Completing the SquareSkills Practicep.59
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5-6The Quadratic Formula and the DiscriminantSkills Practicep.61
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5-7Transformations with Quadratic FunctionsSkills Practicep.63
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5-8Quadratic InequalitiesSkills Practicep.65
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Chapter 6

Chapter 6

6-1Operations with PolynomialsSkills Practicep.67
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6-2Dividing PolynomialsSkills Practicep.69
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6-3Polynomial FunctionsSkills Practicep.71
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6-4Analyzing Graphs of Polynomial FunctionsSkills Practicep.73
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6-5Solving Polynomial EquationsSkills Practicep.75
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6-6The Remainder and Factor TheoremsSkills Practicep.77
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6-7Roots and ZerosSkills Practicep.79
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6-8Rational Zero TheoremSkills Practicep.81
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Chapter 7

Chapter 7

7-1Operations on FunctionsSkills Practicep.83
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7-2Inverse Functions and RelationsSkills Practicep.85
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7-3Square Root Functions and InequalitiesSkills Practicep.87
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7-4nth RootsSkills Practicep.89
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7-5Operations with Radical ExpressionsSkills Practicep.91
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7-6Rational ExponentsSkills Practicep.93
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7-7Solving Radical Equations and InequalitiesSkills Practicep.95
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Chapter 8

Chapter 8

8-1Graphing Exponential FunctionsSkills Practicep.97
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8-2Solving Exponential Equations and InequalitiesSkills Practicep.99
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8-3Logarithms and Logarithmic FunctionsSkills Practicep.101
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8-4Solving Logarithmic Equations and InequalitiesSkills Practicep.103
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8-5Properties of LogarithmsSkills Practicep.105
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8-6Common LogarithmsSkills Practicep.107
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8-7Base e and Natural LogarithmsSkills Practicep.109
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8-8Using Exponential and Logarithmic FunctionsSkills Practicep.111
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Chapter 9

Chapter 9

9-1Multiplying and Dividing Rational ExpressionsSkills Practicep.113
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9-2Adding and Subtracting Rational ExpressionsSkills Practicep.115
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9-3Graphing Reciprocal FunctionsSkills Practicep.117
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9-4Graphing Rational FunctionsSkills Practicep.119
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9-5Variation FunctionsSkills Practicep.121
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9-6Solving Rational Equations and InequalitiesSkills Practicep.123
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Chapter 10

Chapter 10

10-1Midpoint and Distance FormulasSkills Practicep.125
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10-2ParabolasSkills Practicep.127
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10-3CirclesSkills Practicep.129
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10-4EllipsesSkills Practicep.131
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10-5HyperbolasSkills Practicep.133
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10-6Identifying Conic SectionsSkills Practicep.135
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10-7Solving Quadratic SystemsSkills Practicep.137
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Chapter 11

Chapter 11

11-1Sequences as FunctionsSkills Practicep.139
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11-2Arithmetic Sequences and SeriesSkills Practicep.141
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11-3Geometric Sequences and SeriesSkills Practicep.143
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11-4Infinite Geometric SeriesSkills Practicep.145
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11-5Recursion and IterationSkills Practicep.147
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11-6The Binomial TheoremSkills Practicep.149
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11-7Proof by Mathematical InductionSkills Practicep.151
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Chapter 12

Chapter 12

12-1Experiments, Surveys, and Observational StudiesSkills Practicep.153
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12-2Statistical AnalysisSkills Practicep.155
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12-3Conditional ProbabilitySkills Practicep.157
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12-4Probability DistributionsSkills Practicep.159
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12-5The Normal DistributionSkills Practicep.161
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12-6Hypothesis TestingSkills Practicep.163
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12-7Binomial DistributionsSkills Practicep.165
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Chapter 13

Chapter 13

13-1Trigonometric Functions in Right TrianglesSkills Practicep.167
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13-2Angles and Angle MeasureSkills Practicep.169
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13-3Trigonometric Functions of General AnglesSkills Practicep.171
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13-4Law of SinesSkills Practicep.173
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13-5Law of CosinesSkills Practicep.175
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13-6Circular FunctionsSkills Practicep.177
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13-7Graphing Trigonometric FunctionsSkills Practicep.179
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13-8Translations of Trigonometric GraphsSkills Practicep.181
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13-9Inverse Trigonometric FunctionsSkills Practicep.183
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Chapter 14

Chapter 14

14-1Trigonometric IdentitiesSkills Practicep.185
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14-2Verifying Trigonometric IdentitiesSkills Practicep.187
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14-3Sum and Difference of Angles FormulasSkills Practicep.189
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14-4Double-Angle and Half-Angle FormulasSkills Practicep.191
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14-5Solving Trigonometric EquationsSkills Practicep.193
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Add and Subtract Linear Expressions Notes:  Today’s topic builds off of yesterday’s lesson on combining like terms.  Therefore, to start today’s lesson, I am going to address how to make these problems look just like the ones we did in the previous lesson, by going over a few notes.  For addition, I will show the students that we can just drop the parenthesis and combine like terms.  For subtraction, there is an added step, but it is just as easy!  I will ask students to tell me what we did when we subtracted integers – we added the opposite – which is exactly what we will do here.  I am going to have the students change the subtraction sign to addition, and then change the sign of each term to its opposite, drop parenthesis and combine like terms.  Students will need to pay close attention to precision, so that they are combining terms correctly (mathematical practice 6).  I will model a couple of problems by thinking aloud and bringing students into the conversation.  What operation is this? What should I do? What are my like terms?  After a couple of examples, I will do one additional example by lining up the expressions vertically.  For some students, this is an easier way to organize the like terms, as adding and subtracting vertically is a natural flow from how they were originally taught to add and subtract.

Table Practice: With their tables, students are going to work on 6 example problems.  We have done 3 together as a class, so I am going to ask that students work and struggle (persevering with problem solving mathematical practice 1) as a group to come up with the correct answers.  Students know that I will help them if they really need it, but I feel like they will have a better understanding if they work through it and figure it out for themselves.  As groups wrap up the last problem, I will call on reps from 6 different tables to work out the problems – showing their work and explaining their reasoning. 

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