On this webpage you will find my solutions to Chapters 1-4 of the seventh edition of "Precalculus: Mathematics for Calculus" by James Stewart et al. Solutions to Chapters 5-9 are here, and solutions to Chapters 10-13 are here. Here is a link to the book's page on amazon.com. If you find my work useful, please consider making a donation. Thank you.

• Chapter 1: Fundamentals
• Section 1.1: Real Numbers
• Section 1.2: Exponents and Radicals
• Section 1.3: Algebraic Expressions
• Section 1.4: Rational Expressions
• Section 1.5: Equations
• Section 1.6: Complex Numbers
• Section 1.7: Modeling with Equations
• Section 1.8: Inequalities
• Section 1.9: The Coordinate Plane; Graphs of Equations; Circles
• Section 1.10: Lines
• Section 1.11: Solving Equations and Inequalities Graphically
• Section 1.12: Modeling Variation

• Chapter 2: Functions
• Section 2.1: Functions
• Section 2.2: Graphs of Functions
• Section 2.3: Getting Information from the Graph of a Function
• Section 2.4: Average Rate of Change of a Function
• Section 2.5: Linear Functions and Models
• Section 2.6: Transformations of Functions
• Section 2.7: Combining Functions
• Section 2.8: One-to-One Functions and Their Inverses

• Chapter 3: Polynomial and Rational Functions
• Section 3.1: Quadratic Functions and Models
• Section 3.2: Polynomial Functions and Their Graphs
• Section 3.3: Dividing Polynomials
• Section 3.4: Real Zeros of Polynomials
• Section 3.5: Complex Zeros and the Fundamental Theorem of Algebra
• Section 3.6: Rational Functions
• Section 3.7: Polynomial and Rational Inequalities

• Chapter 4: Exponential and Logarithmic Functions
• Section 4.1: Exponential Functions
• Section 4.2: The Natural Exponential Function
• Section 4.3: Logarithmic Functions
• Section 4.4: Laws of Logarithms
• Section 4.5: Exponential and Logarithmic Equations
• Section 4.6: Modeling with Exponential Functions
• Section 4.7: Logarithmic Scales
• Chapter 5: Trigonometric Functions: Unit Circle Approach
• Section 5.1: The Unit Circle
• Section 5.2: Trigonometric Functions of Real Numbers
• Section 5.3: Trigonometric Graphs
• Section 5.4: More Trigonometric Graphs
• Section 5.5: Inverse Trigonometric Functions and Their Graphs
• Section 5.6: Modeling Harmonic Motion

• Chapter 6: Trigonometric Functions: Right Triangle Approach
• Section 6.1: Angle Measure
• Section 6.2: Trigonometry of Right Triangles
• Section 6.3: Trigonometric Functions of Angles
• Section 6.4: Inverse Trigonometric Functions and Right Triangles
• Section 6.5: The Law of Sines
• Section 6.6: The Law of Cosines

• Chapter 7: Analytic Trigonometry
• Section 7.1: Trigonometric Identities
• Section 7.2: Addition and Subtraction Formulas
• Section 7.3: Double-Angle, Half-Angle, and Product-Sum Formulas
• Section 7.4: Basic Trigonometric Equations
• Section 7.5: More Trigonometric Equations

• Chapter 8: Polar Coordinates and Parametric Equations
• Section 8.1: Polar Coordinates
• Section 8.2: Graphs of Polar Equations
• Section 8.3: Polar Form of Complex Numbers; De Moivre's Theorem
• Section 8.4: Plane Curves and Parametric Equations

• Chapter 9: Vectors in Two and Three Dimensions
• Section 9.1: Vectors in Two Dimensions
• Section 9.2: The Dot Product
• Section 9.3: Three-Dimensional Coordinate Geometry
• Section 9.4: Vectors in Three Dimensions
• Section 9.5: The Cross Product
• Section 9.6: Equations of Lines and Planes
• Chapter 10: Systems of Equations and Inequalities
• Section 10.1: Systems of Linear Equations in Two Variables
• Section 10.2: Systems of Linear Equations in Several Variables
• Section 10.3: Matrices and Systems of Linear Equations
• Section 10.4: The Algebra of Matrices
• Section 10.5: Inverses of Matrices and Matrix Equations
• Section 10.6: Determinants and Cramer's Rule
• Section 10.7: Partial Fractions
• Section 10.8: Systems of Nonlinear Equations
• Section 10.9: Systems of Inequalities

• Chapter 11: Conic Sections
• Section 11.1: Parabolas
• Section 11.2: Ellipses
• Section 11.3: Hyperbolas
• Section 11.4: Shifted Conics
• Section 11.5: Rotation of Axes
• Section 11.6: Polar Equations of Conics

• Chapter 12: Sequences and Series
• Section 12.1: Sequences and Summation Notation
• Section 12.2: Arithmetic Sequences
• Section 12.3: Geometric Sequences
• Section 12.4: Mathematics of Finance
• Section 12.5: Mathematical Induction
• Section 12.6: The Binomial Theorem

• Chapter 13: Limits: A Preview of Calculus
• Section 13.1: Finding Limits Numerically and Graphically
• Section 13.2: Finding Limits Algebraically
• Section 13.3: Tangent Lines and Derivatives
• Section 13.4: Limits at Infinity; Limits of Sequences
• Section 13.5: Areas
Section 1.1 Section 1.2
Exercise 1 Exercise 31 Exercise 61 Exercise 91 Exercise 1 Exercise 31 Exercise 61 Exercise 91
Exercise 2 Exercise 32 Exercise 62 Exercise 92 Exercise 2 Exercise 32 Exercise 62 Exercise 92
Exercise 3 Exercise 33 Exercise 63 Exercise 93 Exercise 3 Exercise 33 Exercise 63 Exercise 93
Exercise 4 Exercise 34 Exercise 64 Exercise 94 Exercise 4 Exercise 34 Exercise 64 Exercise 94
Exercise 5 Exercise 35 Exercise 65 Exercise 95 Exercise 5 Exercise 35 Exercise 65 Exercise 95
Exercise 6 Exercise 36 Exercise 66 Exercise 6 Exercise 36 Exercise 66 Exercise 96
Exercise 7 Exercise 37 Exercise 67 Exercise 7 Exercise 37 Exercise 67 Exercise 97
Exercise 8 Exercise 38 Exercise 68 Exercise 8 Exercise 38 Exercise 68 Exercise 98
Exercise 9 Exercise 39 Exercise 69 Exercise 9 Exercise 39 Exercise 69 Exercise 99
Exercise 10 Exercise 40 Exercise 70 Exercise 10 Exercise 40 Exercise 70 Exercise 100
Exercise 11 Exercise 41 Exercise 71 Exercise 11 Exercise 41 Exercise 71 Exercise 101
Exercise 12 Exercise 42 Exercise 72 Exercise 12 Exercise 42 Exercise 72 Exercise 102
Exercise 13 Exercise 43 Exercise 73 Exercise 13 Exercise 43 Exercise 73 Exercise 103
Exercise 14 Exercise 44 Exercise 74 Exercise 14 Exercise 44 Exercise 74 Exercise 104
Exercise 15 Exercise 45 Exercise 75 Exercise 15 Exercise 45 Exercise 75 Exercise 105
Exercise 16 Exercise 46 Exercise 76 Exercise 16 Exercise 46 Exercise 76 Exercise 106
Exercise 17 Exercise 47 Exercise 77 Exercise 17 Exercise 47 Exercise 77 Exercise 107
Exercise 18 Exercise 48 Exercise 78 Exercise 18 Exercise 48 Exercise 78 Exercise 108
Exercise 19 Exercise 49 Exercise 79 Exercise 19 Exercise 49 Exercise 79 Exercise 109
Exercise 20 Exercise 50 Exercise 80 Exercise 20 Exercise 50 Exercise 80
Exercise 21 Exercise 51 Exercise 81 Exercise 21 Exercise 51 Exercise 81
Exercise 22 Exercise 52 Exercise 82 Exercise 22 Exercise 52 Exercise 82
Exercise 23 Exercise 53 Exercise 83 Exercise 23 Exercise 53 Exercise 83
Exercise 24 Exercise 54 Exercise 84 Exercise 24 Exercise 54 Exercise 84
Exercise 25 Exercise 55 Exercise 85 Exercise 25 Exercise 55 Exercise 85
Exercise 26 Exercise 56 Exercise 86 Exercise 26 Exercise 56 Exercise 86
Exercise 27 Exercise 57 Exercise 87 Exercise 27 Exercise 57 Exercise 87
Exercise 28 Exercise 58 Exercise 88 Exercise 28 Exercise 58 Exercise 88
Exercise 29 Exercise 59 Exercise 89 Exercise 29 Exercise 59 Exercise 89
Exercise 30 Exercise 60 Exercise 90 Exercise 30 Exercise 60 Exercise 90
Section 1.3 Section 1.4
Exercise 1 Exercise 31 Exercise 61 Exercise 91 Exercise 121 Exercise 1 Exercise 31 Exercise 61 Exercise 91
Exercise 2 Exercise 32 Exercise 62 Exercise 92 Exercise 122 Exercise 2 Exercise 32 Exercise 62 Exercise 92
Exercise 3 Exercise 33 Exercise 63 Exercise 93 Exercise 123 Exercise 3 Exercise 33 Exercise 63 Exercise 93
Exercise 4 Exercise 34 Exercise 64 Exercise 94 Exercise 124 Exercise 4 Exercise 34 Exercise 64 Exercise 94
Exercise 5 Exercise 35 Exercise 65 Exercise 95 Exercise 125 Exercise 5 Exercise 35 Exercise 65 Exercise 95
Exercise 6 Exercise 36 Exercise 66 Exercise 96 Exercise 126 Exercise 6 Exercise 36 Exercise 66 Exercise 96
Exercise 7 Exercise 37 Exercise 67 Exercise 97 Exercise 127 Exercise 7 Exercise 37 Exercise 67 Exercise 97
Exercise 8 Exercise 38 Exercise 68 Exercise 98 Exercise 128 Exercise 8 Exercise 38 Exercise 68 Exercise 98
Exercise 9 Exercise 39 Exercise 69 Exercise 99 Exercise 129 Exercise 9 Exercise 39 Exercise 69 Exercise 99
Exercise 10 Exercise 40 Exercise 70 Exercise 100 Exercise 130 Exercise 10 Exercise 40 Exercise 70 Exercise 100
Exercise 11 Exercise 41 Exercise 71 Exercise 101 Exercise 131 Exercise 11 Exercise 41 Exercise 71 Exercise 101
Exercise 12 Exercise 42 Exercise 72 Exercise 102 Exercise 132 Exercise 12 Exercise 42 Exercise 72 Exercise 102
Exercise 13 Exercise 43 Exercise 73 Exercise 103 Exercise 133 Exercise 13 Exercise 43 Exercise 73 Exercise 103
Exercise 14 Exercise 44 Exercise 74 Exercise 104 Exercise 134 Exercise 14 Exercise 44 Exercise 74
Exercise 15 Exercise 45 Exercise 75 Exercise 105 Exercise 135 Exercise 15 Exercise 45 Exercise 75
Exercise 16 Exercise 46 Exercise 76 Exercise 106 Exercise 136 Exercise 16 Exercise 46 Exercise 76
Exercise 17 Exercise 47 Exercise 77 Exercise 107 Exercise 137 Exercise 17 Exercise 47 Exercise 77
Exercise 18 Exercise 48 Exercise 78 Exercise 108 Exercise 138 Exercise 18 Exercise 48 Exercise 78
Exercise 19 Exercise 49 Exercise 79 Exercise 109 Exercise 139 Exercise 19 Exercise 49 Exercise 79
Exercise 20 Exercise 50 Exercise 80 Exercise 110 Exercise 140 Exercise 20 Exercise 50 Exercise 80
Exercise 21 Exercise 51 Exercise 81 Exercise 111 Exercise 141 Exercise 21 Exercise 51 Exercise 81
Exercise 22 Exercise 52 Exercise 82 Exercise 112 Exercise 142 Exercise 22 Exercise 52 Exercise 82
Exercise 23 Exercise 53 Exercise 83 Exercise 113 Exercise 23 Exercise 53 Exercise 83
Exercise 24 Exercise 54 Exercise 84 Exercise 114 Exercise 24 Exercise 54 Exercise 84
Exercise 25 Exercise 55 Exercise 85 Exercise 115 Exercise 25 Exercise 55 Exercise 85
Exercise 26 Exercise 56 Exercise 86 Exercise 116 Exercise 26 Exercise 56 Exercise 86
Exercise 27 Exercise 57 Exercise 87 Exercise 117 Exercise 27 Exercise 57 Exercise 87
Exercise 28 Exercise 58 Exercise 88 Exercise 118 Exercise 28 Exercise 58 Exercise 88
Exercise 29 Exercise 59 Exercise 89 Exercise 119 Exercise 29 Exercise 59 Exercise 89
Exercise 30 Exercise 60 Exercise 90 Exercise 120 Exercise 30 Exercise 60 Exercise 90