### Chapter 1

Lessons 1-10, Investigation 1

 1 Using Properties of Real Numbers Practice p.5 2 Evaluating Expressions and Combining Like Terms Practice p.11 3 Using Rules of Exponents Practice p.16 4 Identifying Functions and Using Function Notation Practice p.24 5 Using Matrices to Organize Data and to Solve Problems Practice p.33 6 Finding Percent Increase and Decrease Practice p.39 8 Finding Direct Variation Practice p.51 9 Multiplying Matrices Practice p.58 10 Solving and Graphing Inequalities Practice p.66 INV 1 Logic and Truth Tables Logic and Truth Tables p.69 Investigation Practice p.71

### Chapter 2

Lessons 11-20, Investigation 2

 11 Understanding Polynomials Practice p.75 12 Solving Inverse Variation Problems Practice p.82 13 Graphing Linear Equations I Practice p.90 14 Finding Determinants Practice p.97 15 Solving Systems of Equations by Graphing Practice p.104 16 Using Cramer's Rule Practice p.110 17 Solving Equations and Inequalities with Absolute Value Practice p.121 18 Calculating with Units of Measure Practice p.126 19 Multiplying Polynomials Practice p.132 20 Performing Operations with Functions Practice p.140 INV 2 Solving Parametric Equations Solving Parametric Equations p.143 Investigation Practice p.145

### Chapter 3

Lessons 21-30, Investigation 3

 21 Solving Systems of Equations Using the Substitution Method Practice p.150 22 Analyzing Discrete and Continuous Functions Practice p.160 23 Factoring Polynomials Practice p.167 24 Solving Systems of Equations Using the Elimination Method Practice p.175 25 Finding Measures of Central Tendency and Dispersion Practice p.184 26 Writing the Equation of a Line Practice p.191 27 Connecting the Parabola with the Quadratic Function Practice p.198 28 Simplifying Rational Expressions Practice p.204 29 Systems of Three Equations and Three Variables Practice p.212 30 Applying Transformations to the Parabola and Determining the Minimum or Maximum Practice p.219 INV 3 Graphing Three Linear Equations in Three Variables Practice p.222 Practice p.225

### Chapter 4

Lessons 31-40, Investigation 4

 31 Multiplying and Dividing Rational Expressions Practice p.230 32 Solving Linear Systems with Matrix Inverses Practice p.237 33 Applying Counting Principles Practice p.243 34 Graphing Linear Equations II Practice p.250 35 Solving Quadratic Equations I Practice p.256 36 Using Parallel and Perpendicular Lines Practice p.263 37 Adding and Subtracting Rational Expressions Practice p.270 38 Dividing Polynomials Using Long Division Practice p.276 39 Graphing Linear Inequalities in Two Variables Practice p.283 40 Simplifying Radical Expressions Practice p.290 INV 4 Understanding Cryptography Understanding Cryptography p.293 Investigation Practice p.295

### Chapter 5

Lessons 41-50, Investigation 5

 41 Using the Pythagorean Theorem and the Distance Formula Practice p.300 42 Finding Permutations and Combinations Practice p.309 43 Solving Systems of Linear Inequalities Practice p.315 44 Rationalizing Denominators Practice p.320 45 Finding the Line of Best Fit Practice p.329 46 Finding Trigonometric Functions and Their Reciprocals Practice p.334 47 Graphing Exponential Functions Practice p.340 48 Understanding Complex Fractions Practice p.345 49 Using the Binomial Theorem Practice p.352 50 Finding Inverses of Relations and Functions Practice p.358 INV 5 Finding the Binomial Distribution Finding the Binomial Distribution p.361 Investigation Practice p.363

### Chapter 6

Lessons 51-60, Investigation 6

 51 Using Synthetic Division Practice p.367 52 Using Two Special Right Triangles Practice p.373 53 Performing Composition of Functions Practice p.379 54 Using Linear Programming Practice p.386 55 Finding Probability Practice p.393 56 Finding Angles of Rotation Practice p.403 57 Finding Exponential Growth and Decay Practice p.410 58 Completing the Square Practice p.417 59 Using Fractional Exponents Practice p.424 60 Distinguishing Between Mutually Exclusive and Independent Events Practice p.430 INV 6 Deriving the Quadratic Formula Deriving the Quadratic Formula p.433 Investigation Practice p.435

### Chapter 7

Lessons 61-70, Investigation 7

 61 Understanding Advanced Factoring Practice p.439 62 Using Complex Numbers Practice p.444 63 Understanding the Unit Circle and Radian Measures Practice p.452 64 Using Logarithms Practice p.459 65 Using the Quadratic Formula Practice p.466 66 Solving Polynomial Equations Practice p.473 67 Finding Inverse Trigonometric Functions Practice p.480 68 Finding Conditional Probability Practice p.486 69 Simplifying Complex Expressions Practice p.492 70 Solving Radical Equations Practice p.499 INV 7 Collecting Data Collecting Data p.502 Investigation Practice p.504

### Chapter 8

Lessons 71-80, Investigation 8

 71 The Law of Sines Practice p.510 72 Using the Properties of Logarithms Practice p.516 73 Using Sampling Practice p.525 74 Finding the Discriminant Practice p.531 75 Graphing Radical Functions Practice p.537 76 Finding Polynomial Roots I Practice p.543 77 Using the Law of Cosines Practice p.549 78 Solving Quadratic Equations II Practice p.555 79 Understanding Piecewise Functions Practice p.561 80 Finding the Normal Distribution Practice p.569 INV 8 Finding the Area Under a Curve Finding the Area Under a Curve p.572 Investigation Practice p.573

### Chapter 9

Lessons 81-90, Investigation 9

 81 Using Natural Logarithms Practice p.577 82 Graphing the Sine Function Practice p.583 83 Writing Quadratic Equations from Roots Practice p.589 84 Solving Rational Equations Practice p.596 85 Finding Polynomial Roots II Practice p.603 86 Graphing the Cosine Function Practice p.609 87 Evaluating Logarithmic Expressions Practice p.614 88 Solving Abstract Equations Practice p.620 89 Solve Quadratic Ineqaulities Practice p.627 90 Graphing the Tangent Function Practice p.633 INV 9 Understanding Step Functions Understanding Step Functions p.635 Investigation Practice p.637

### Chapter 10

Lessons 91-100, Investigation 10

 7 Solving Linear Equations Practice p.45 100 Graphing Rational Functions I Practice p.643 92 Finding Arithmetic Sequences Practice p.649 93 Solving Exponential Equations and Inequalities Practice p.656 94 Solving Rational Inequalities Practice p.662 95 Using hte Remainder and Factor Theorems Practice p.668 96 Using Polar Coordinates Practice p.676 97 Finding Geometric Sequences Practice p.681 98 Making Graphs and Using equations of Ellipses Practice p.688 99 Using Vectors Practice p.693 100 Graphing Rational Functions I Practice p.700 INV 10 Graphing Polar Models Graphing Polar Models p.703 Investigation Practice p.705

### Chapter 11

Lessons 101-110, Investigation 11

 101 Making Graphs of Polynomial Functions Practice p.711 102 Solving Logarithmic Equations and Inequalities Practice p.716 103 Graphing Reciprocal Trigonometric Functions Practice p.722 104 Finding Transformations Practice p.729 105 Finding Arithmetic Series Practice p.735 106 Using the Fundamental Theorem of Algebra Practice p.743 107 Graphing Rational Functions II Practice p.749 108 Using Fundamental Trigonometric Identities Practice p.754 109 Making Graphs and Using Equations of Hyperbolas Practice p.761 110 Graphing Logarithmic Functions Practice p.767 INV 11 Using De Moivre's Theorem Using De Moivre's Theorem p.770 Investigation Practice p.773

### Chapter 12

Lessons 111-120, Investigation 12

 111 Transforming Polynomial Functions Practice p.777 112 Using Sum and DIfference Identities Practice p.783 113 Using Geometric Series Practice p.790 114 Identifying Conic Sections Practice p.795 115 Finding Double Angle and Half Angle Identities Practice p.801 116 Finding Best Fit Models Practice p.808 117 Solving Systems of Nonlinear Equations Practice p.814 118 Recognizing Misleading Data Practice p.822 119 Solving Trigonometric Equations Practice p.828 INV 12 Using Mathematical Induction Using Mathematical Induction p.831 Investigation Practice p.832