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Introduction | |

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The Language of Algebra (Using Whole Numbers) | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 1 | |

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Using the Order of Operations | |

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Using the Order of Operations II | |

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Using the Order of Operations III | |

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Using Square Numbers | |

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Translating Algebraic Expressions into Phrases | |

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Writing Phrases as Algebraic Expressions | |

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Writing Phrases as Algebraic Expressions II | |

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Simplifying Expressions by Combining Like Terms | |

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Simplifying and Evaluating Expressions | |

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Evaluating Expressions Using Exponents | |

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Writing Equations | |

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Writing Equations and Inequalities | |

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Writing Equations and Inequalities II | |

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Identifying the Solution of an Equation | |

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Determining the Solutions of Equations and Inequalities | |

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Integers, Variables, and Expressions | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 2 | |

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Using a Number Line to Graph Integers | |

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Representing Integers | |

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Adding Integers | |

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Adding and Subtracting Integers | |

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Comparing Sums and Differences | |

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Multiplying and Dividing Integers | |

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Solving Word Problems with Integers | |

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Simplifying Expressions by Combining Similar Terms | |

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Using the Distributive Property to Simplify Expressions | |

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Integers and Using the Order of Operations | |

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Integers and Using the Order of Operations II | |

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Evaluating Expressions | |

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Finding the Absolute Value | |

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Using Scientific Notation | |

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Reviewing the Concepts and Skills of Integers | |

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Linear Equations and Inequalities | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 3 | |

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Identifying Solutions of Equations and Inequalities | |

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Writing and Solving One-step Equations | |

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Writing and Solving One-step Equations II | |

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Creating Word Problems | |

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Using Formulas for Finding Temperatures | |

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Solving Multi-step Equations | |

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Solving Multi-step Equations II | |

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Writing and Solving Multi-step Equations | |

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Writing and Using Direct Variations | |

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Solving Proportions | |

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Solving Simple Percent Problems | |

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Solving Word Problems Involving Percents | |

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Finding the Percent of Increase or Decrease | |

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Writing Equivalent Equations | |

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Solving Equations with Variables on Both Sides | |

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Writing and Solving Equations with Variables on Both Sides | |

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Solving One-step Inequalities | |

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Solving Multi-step Inequalities | |

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Writing and Solving Inequalities | |

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Verifying Solutions of Systems of Linear Equations | |

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Solving Systems of Linear Equations | |

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Solving Word Problems by Writing Systems of Equations | |

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Adding and Subtracting Matrices | |

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Multiplying Matrices | |

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Graphing Linear Equations and Inequalities | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 4 | |

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Graphing the Solutions of Equations and Inequalities on a Number Line | |

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Graphing the Solutions of Combined Inequalities on the Number Line | |

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Graphing Points on the Coordinate Plane | |

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Finding the Slope and Y-intercept from a Graph | |

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Using the Slope and Y-intercept to Graph a Line | |

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Finding the Slope of a Line | |

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Finding the X- and Y-intercepts | |

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Using the X- and Y-intercepts to Graph a Line | |

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Writing the Equation of a Line When Given Two Points | |

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Writing About Graphs of Lines | |

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Determining Whether Data Suggests a Line | |

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Finding the Equation of the Line of Best Fit | |

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Graphing Inequalities on the Coordinate Plane | |

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Solving Systems of Equations by Graphing | |

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Solving Systems of Inequalities by Graphing | |

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Basic Operations with Monomials and Polynomials | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 5 | |

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Writing Expressions in Exponential Form | |

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Using the Terms of Polynomials | |

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Adding and Subtracting Polynomials | |

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Multiplying Monomials | |

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Finding Powers of Monomials | |

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Dividing Monomials | |

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Simplifying and Evaluating Expressions | |

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Multiplying a Polynomial by a Monomial | |

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Multiplying Binomials | |

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Multiplying Two Polynomials | |

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Dividing a Polynomial by a Binomial | |

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Finding Cubes of Binomials | |

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Factors of Monomials and Polynomials | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 6 | |

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Finding the GCF of Whole Numbers | |

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Finding the GMF | |

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Finding the Missing Factor | |

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Factoring the Difference of Squares | |

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Finding Factors, Sums, and Differences | |

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Factoring Trinomials | |

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Factoring Trinomials II | |

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Factoring Binomials and Trinomials | |

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Factoring by Grouping | |

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Factoring the Sum and Difference of Cubes | |

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Factoring Polynomials Completely | |

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Reviewing Factoring Skills | |

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Functions and Relations | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 7 | |

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Completing T-Tables | |

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Identifying Functions | |

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Finding the Values of Functions | |

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Identifying the Domain and Range of a Function | |

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Finding the Domain of a Function | |

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Using the Basic Operations with Functions | |

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Finding the Composition of Functions | |

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Finding the Inverses of Functions | |

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Evaluating the Greatest Integer Function | |

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Evaluating Piecewise-Defined Functions | |

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Identifying Graphs of Families of Functions | |

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Reviewing the Concepts and Applications of Functions | |

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Complex Numbers | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 8 | |

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Identifying Subsets of Real Numbers | |

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Expressing Fractions as Repeating Decimals and Repeating Decimals as Fractions | |

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Simplifying Square Roots | |

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Finding the Nth Root of a Number | |

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Multiplying and Dividing Radicals | |

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Rationalizing the Denominator | |

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Simplifying Sums and Differences of Radicals | |

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Simplifying Products That Contain Radicals | |

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Using Conjugates to Simplify Products and Quotients | |

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Using i | |

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Using Complex Numbers to Simplify Expressions | |

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Reviewing Concepts and Skills Related to Complex Numbers | |

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Polynomial, Exponential, and Logarithmic Functions | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 9 | |

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Solving Quadratic Equations by Factoring | |

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Solving Simple Quadratic Equations | |

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Solving a Quadratic Equation by Completing the Square | |

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Using the Quadratic Formula | |

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Using Equations to Describe Parabolas | |

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Classifying Polynomial Functions | |

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Using Synthetic Division | |

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Using Synthetic Division to Factor Polynomials | |

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Finding the Zeroes of Polynomial Functions | |

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Solving Exponential Equations | |

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Solving Equations Involving Logarithms | |

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Borrowing and Repaying Money (with Interest) | |

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Calculating Compound Interest | |

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Potpourri | |

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Teaching Suggestions for the Activities | |

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Answer Key for Section 10 | |

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Know the Rules | |

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Cracking a Code | |

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Simplifying Expressions | |

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Following Instructions | |

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Following Algebraic Directions | |

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Scrambled Algebra | |

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Getting from A to B | |

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Building an Algebra Vocabulary Chain | |

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Finding Equal Values | |

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Finding Algebra Words | |

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The Words of Algebra | |

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Creating Equations with Variables | |

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Is It True or False? | |

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Algebra and Interesting Facts | |

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Who Used It First? | |

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Algebra Stumpers | |

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Famous Mathematicians and Algebra | |

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Who Wrote It? | |

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An Algebra Research Paper | |

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An Algebra Essay | |