{"id":28,"date":"2021-06-04T18:08:11","date_gmt":"2021-06-04T18:08:11","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-precalculus\/chapter\/problem-sets-2\/"},"modified":"2021-06-04T18:08:11","modified_gmt":"2021-06-04T18:08:11","slug":"problem-sets-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-precalculus\/chapter\/problem-sets-2\/","title":{"raw":"Problem Sets","rendered":"Problem Sets"},"content":{"raw":"\n<h3><img class=\"aligncenter wp-image-244\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/06\/01221948\/puzzle-e1509574823899.png\" alt=\"icon of two puzzle pieces\" width=\"200\" height=\"200\"><\/h3>\nThis course contains problem sets that accompany each module. In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.\n<ul>\n \t<li style=\"list-style-type: none;\">\n<h2>Module 1: Introduction to Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-1\/\">Problem Set 1: Functions and Function Notation<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-2-domain-and-range\/\">Problem Set 2: Domain and Range<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-3-rates-of-change-and-behavior-of-graphs\/\">Problem Set 3: Rates of Change and Behavior of Graphs<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-4-composition-of-functions\/\">Problem Set 4: Composition of Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-5-transformation-of-functions\/\">Problem Set 5: Transformation of Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-6-absolute-value-functions\/\">Problem Set 6: Absolute Value Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-7-inverse-functions\/\">Problem Set 7: Inverse Functions<\/a><\/li>\n<\/ul>\n<h2>Module 2: Linear Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-8-linear-functions\/\">Problem Set 8: Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-9-graphs-of-linear-functions\/\">Problem Set 9: Graphs of Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-10-modeling-with-linear-functions\/\">Problem Set 10: Modeling with Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-11-fitting-linear-models-to-data\/\">Problem Set 11: Fitting Linear Models to Data<\/a><\/li>\n<\/ul>\n<h2>Module 3: Polynomial and Rational Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-12-complex-numbers\/\">Problem Set 12: Complex Numbers<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-13-quadratic-functions\/\">Problem Set 13: Quadratic Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-14-power-functions-and-polynomial-functions\/\">Problem Set 14: Power Functions and Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-15-graphs-of-polynomial-functions\/\">Problem Set 15: Graphs of Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-16-dividing-polynomials\/\">Problem Set 16: Dividing Polynomials<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-17-zeros-of-polynomial-functions\/\">Problem Set 17: Zeros of Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-18-rational-functions\/\">Problem Set 18: Rational Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-19-inverse-functions\/\">Problem Set 19: Inverse and Radical Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-20-modeling-using-variation\/\">Problem Set 20: Modeling Using Variation<\/a><\/li>\n<\/ul>\n<h2>Module 4: Exponential and Logarithmic Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-21-exponential-functions\/\">Problem Set 21: Exponential Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-22-graphs-of-exponential-functions\/\">Problem Set 22: Graphs of Exponential Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-23-logarithmic-functions\/\">Problem Set 23: Logarithmic Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-24-graphs-of-logarithmic-functions\/\">Problem Set 24: Graphs of Logarithmic Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-25-logarithmic-properties\/\">Problem Set 25: Logarithmic Properties<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-26-exponential-and-logarithmic-equations\/\">Problem Set 26: Exponential and Logarithmic Equations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a class=\"\" href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-27-exponential-and-logarithmic-models\/\">Problem Set 27: Exponential and Logarithmic Models<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-28-fitting-exponential-models-to-data\/\">Problem Set 28: Fitting Exponential Models to Data<\/a><\/li>\n<\/ul>\n<h2>Module 5: Systems of Equations and Inequalities<\/h2>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-29-systems-of-linear-equations-two-variables\/\">Problem Set 29: Systems of Linear Equations: Two Variables<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-30-systems-of-linear-equations-three-variables\/\">Problem Set 30: Systems of Linear Equations: Three Variables<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-31-systems-of-nonlinear-equations-and-inequalities-two-variables\/\">Problem Set 31: Systems of Nonlinear Equations and Inequalities: Two Variables<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-32-partial-fractions\/\">Problem Set 32: Partial Fractions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-33-matrices-and-matrix-operations\/\">Problem Set 33: Matrices and Matrix Operations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-34-solving-systems-with-gaussian-elimination\/\">Problem Set 34: Solving Systems with Gaussian Elimination<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-35-solving-systems-with-inverses\/\">Problem Set 35: Solving Systems with Inverses<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-36-solving-systems-with-cramers-rule\/\">Problem Set 36: Solving Systems with Cramer\u2019s Rule<\/a><\/li>\n<\/ul>\n<h2>Module 6: Sequences, Probability, and Counting Theory<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-37-sequences-and-their-notations\/\">Problem Set 37: Sequences and Their Notations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-38-arithmetic-sequences\/\">Problem Set 38: Arithmetic Sequences<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-39-geometric-sequences\/\">Problem Set 39: Geometric Sequences<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-40-series-and-their-notations\/\">Problem Set 40: Series and Their Notations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-41-counting-principles\/\">Problem Set 41: Counting Principles<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-42-binomial-theorem\/\">Problem Set 42: Binomial Theorem<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-43-probability\/\">Problem Set 43: Probability<\/a><\/li>\n<\/ul>\n<h2>Module 7: Trigonometric Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-44-angles\/\">Problem Set 44: Angles<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-45-unit-circle-sine-and-cosine-functions\/\">Problem Set 45: Unit Circle: Sine and Cosine Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-46-the-other-trigonometric-functions\/\">Problem Set 46: The Other Trigonometric Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-47-right-triangle-trigonometry\/\">Problem Set 47: Right Triangle Trigonometry<\/a><\/li>\n<\/ul>\n<h2>Module 8: Periodic Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-48-graphs-of-the-sine-and-cosine-function\/\">Problem Set 48: Graphs of the Sine and Cosine Function<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-49-graphs-of-the-other-trigonometric-functions\/\">Problem Set 49: Graphs of the Other Trigonometric Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-50-inverse-trigonometric-functions\/\">Problem Set 50: Inverse Trigonometric Functions<\/a><\/li>\n<\/ul>\n<h2>Module 9: Trigonometric Identities and Equations<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-51-solving-trigonometric-equations-with-identities\/\">Problem Set 51: Solving Trigonometric Equations With Identities<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-52-sum-and-difference-identities\/\">Problem Set 52: Sum and Difference Identities<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-53-double-angle-half-angle-and-reduction-formulas\/\">Problem Set 53: Double Angle, Half Angle, and Reduction Formulas<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-54-sum-to-product-and-product-to-sum-formulas\/\">Problem Set 54: Sum-to-Product and Product-to-Sum Formulas<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-55-solving-trigonometric-equations\/\">Problem Set 55: Solving Trigonometric Equations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-56-modeling-with-trigonometric-equations\/\">Problem Set 56: Modeling with Trigonometric Equations<\/a><\/li>\n<\/ul>\n<h2>Module 10: Further Applications of Trigonometry<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-57-non-right-triangles-law-of-sines\/\">Problem Set 57: Non-right Triangles: Law of Sines<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-58-non-right-triangles-law-of-cosines\/\">Problem Set 58: Non-right Triangles: Law of Cosines<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-59-polar-coordinates\/\">Problem Set 59: Polar Coordinates<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-60-polar-coordinates-graphs\/\">Problem Set 60: Polar Coordinates: Graphs<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-61-polar-form-of-complex-numbers\/\">Problem Set 61: Polar Form of Complex Numbers<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-62-parametric-equations\/\">Problem Set 62: Parametric Equations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-63-parametric-equations-graphs\/\">Problem Set 63: Parametric Equations: Graphs<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-64-vectors\/\">Problem Set 64: Vectors<\/a><\/li>\n<\/ul>\n<h2>Module 11: Analytic Geometry<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-65-the-ellipse\/\">Problem Set 65: The Ellipse<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-66-the-hyperbola\/\">Problem Set 66: The Hyperbola<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-67-the-parabola\/\">Problem Set 67: The Parabola<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-68-rotation-of-axes\/\">Problem Set 68: Rotation of Axes<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-69-conic-sections-in-polar-coordinates\/\">Problem Set 69: Conic Sections in Polar Coordinates<\/a><\/li>\n<\/ul>\n<h2>Module 12: Introduction to Calculus<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-70-finding-limits-numerical-and-graphical-approaches\/\">Problem Set 70: Finding Limits: Numerical and Graphical Approaches<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-71-finding-limits-properties-of-limits\/\">Problem Set 71: Finding Limits: Properties of Limits<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-72-continuity\/\">Problem Set 72: Continuity<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-73-derivatives\/\">Problem Set 73: Derivatives<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","rendered":"<h3><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-244\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/06\/01221948\/puzzle-e1509574823899.png\" alt=\"icon of two puzzle pieces\" width=\"200\" height=\"200\" \/><\/h3>\n<p>This course contains problem sets that accompany each module. In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<h2>Module 1: Introduction to Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-1\/\">Problem Set 1: Functions and Function Notation<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-2-domain-and-range\/\">Problem Set 2: Domain and Range<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-3-rates-of-change-and-behavior-of-graphs\/\">Problem Set 3: Rates of Change and Behavior of Graphs<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-4-composition-of-functions\/\">Problem Set 4: Composition of Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-5-transformation-of-functions\/\">Problem Set 5: Transformation of Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-6-absolute-value-functions\/\">Problem Set 6: Absolute Value Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-7-inverse-functions\/\">Problem Set 7: Inverse Functions<\/a><\/li>\n<\/ul>\n<h2>Module 2: Linear Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-8-linear-functions\/\">Problem Set 8: Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-9-graphs-of-linear-functions\/\">Problem Set 9: Graphs of Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-10-modeling-with-linear-functions\/\">Problem Set 10: Modeling with Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-11-fitting-linear-models-to-data\/\">Problem Set 11: Fitting Linear Models to Data<\/a><\/li>\n<\/ul>\n<h2>Module 3: Polynomial and Rational Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-12-complex-numbers\/\">Problem Set 12: Complex Numbers<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-13-quadratic-functions\/\">Problem Set 13: Quadratic Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-14-power-functions-and-polynomial-functions\/\">Problem Set 14: Power Functions and Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-15-graphs-of-polynomial-functions\/\">Problem Set 15: Graphs of Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-16-dividing-polynomials\/\">Problem Set 16: Dividing Polynomials<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-17-zeros-of-polynomial-functions\/\">Problem Set 17: Zeros of Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-18-rational-functions\/\">Problem Set 18: Rational Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-19-inverse-functions\/\">Problem Set 19: Inverse and Radical Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-20-modeling-using-variation\/\">Problem Set 20: Modeling Using Variation<\/a><\/li>\n<\/ul>\n<h2>Module 4: Exponential and Logarithmic Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-21-exponential-functions\/\">Problem Set 21: Exponential Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-22-graphs-of-exponential-functions\/\">Problem Set 22: Graphs of Exponential Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-23-logarithmic-functions\/\">Problem Set 23: Logarithmic Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-24-graphs-of-logarithmic-functions\/\">Problem Set 24: Graphs of Logarithmic Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-25-logarithmic-properties\/\">Problem Set 25: Logarithmic Properties<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-26-exponential-and-logarithmic-equations\/\">Problem Set 26: Exponential and Logarithmic Equations<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a class=\"\" href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-27-exponential-and-logarithmic-models\/\">Problem Set 27: Exponential and Logarithmic Models<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-28-fitting-exponential-models-to-data\/\">Problem Set 28: Fitting Exponential Models to Data<\/a><\/li>\n<\/ul>\n<h2>Module 5: Systems of Equations and Inequalities<\/h2>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-29-systems-of-linear-equations-two-variables\/\">Problem Set 29: Systems of Linear Equations: Two Variables<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-30-systems-of-linear-equations-three-variables\/\">Problem Set 30: Systems of Linear Equations: Three Variables<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-31-systems-of-nonlinear-equations-and-inequalities-two-variables\/\">Problem Set 31: Systems of Nonlinear Equations and Inequalities: Two Variables<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-32-partial-fractions\/\">Problem Set 32: Partial Fractions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-33-matrices-and-matrix-operations\/\">Problem Set 33: Matrices and Matrix Operations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-34-solving-systems-with-gaussian-elimination\/\">Problem Set 34: Solving Systems with Gaussian Elimination<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-35-solving-systems-with-inverses\/\">Problem Set 35: Solving Systems with Inverses<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-36-solving-systems-with-cramers-rule\/\">Problem Set 36: Solving Systems with Cramer\u2019s Rule<\/a><\/li>\n<\/ul>\n<h2>Module 6: Sequences, Probability, and Counting Theory<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-37-sequences-and-their-notations\/\">Problem Set 37: Sequences and Their Notations<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-38-arithmetic-sequences\/\">Problem Set 38: Arithmetic Sequences<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-39-geometric-sequences\/\">Problem Set 39: Geometric Sequences<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-40-series-and-their-notations\/\">Problem Set 40: Series and Their Notations<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-41-counting-principles\/\">Problem Set 41: Counting Principles<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-42-binomial-theorem\/\">Problem Set 42: Binomial Theorem<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-43-probability\/\">Problem Set 43: Probability<\/a><\/li>\n<\/ul>\n<h2>Module 7: Trigonometric Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-44-angles\/\">Problem Set 44: Angles<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-45-unit-circle-sine-and-cosine-functions\/\">Problem Set 45: Unit Circle: Sine and Cosine Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-46-the-other-trigonometric-functions\/\">Problem Set 46: The Other Trigonometric Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-47-right-triangle-trigonometry\/\">Problem Set 47: Right Triangle Trigonometry<\/a><\/li>\n<\/ul>\n<h2>Module 8: Periodic Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-48-graphs-of-the-sine-and-cosine-function\/\">Problem Set 48: Graphs of the Sine and Cosine Function<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-49-graphs-of-the-other-trigonometric-functions\/\">Problem Set 49: Graphs of the Other Trigonometric Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-50-inverse-trigonometric-functions\/\">Problem Set 50: Inverse Trigonometric Functions<\/a><\/li>\n<\/ul>\n<h2>Module 9: Trigonometric Identities and Equations<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-51-solving-trigonometric-equations-with-identities\/\">Problem Set 51: Solving Trigonometric Equations With Identities<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-52-sum-and-difference-identities\/\">Problem Set 52: Sum and Difference Identities<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-53-double-angle-half-angle-and-reduction-formulas\/\">Problem Set 53: Double Angle, Half Angle, and Reduction Formulas<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-54-sum-to-product-and-product-to-sum-formulas\/\">Problem Set 54: Sum-to-Product and Product-to-Sum Formulas<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-55-solving-trigonometric-equations\/\">Problem Set 55: Solving Trigonometric Equations<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-56-modeling-with-trigonometric-equations\/\">Problem Set 56: Modeling with Trigonometric Equations<\/a><\/li>\n<\/ul>\n<h2>Module 10: Further Applications of Trigonometry<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-57-non-right-triangles-law-of-sines\/\">Problem Set 57: Non-right Triangles: Law of Sines<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-58-non-right-triangles-law-of-cosines\/\">Problem Set 58: Non-right Triangles: Law of Cosines<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-59-polar-coordinates\/\">Problem Set 59: Polar Coordinates<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-60-polar-coordinates-graphs\/\">Problem Set 60: Polar Coordinates: Graphs<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-61-polar-form-of-complex-numbers\/\">Problem Set 61: Polar Form of Complex Numbers<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-62-parametric-equations\/\">Problem Set 62: Parametric Equations<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-63-parametric-equations-graphs\/\">Problem Set 63: Parametric Equations: Graphs<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-64-vectors\/\">Problem Set 64: Vectors<\/a><\/li>\n<\/ul>\n<h2>Module 11: Analytic Geometry<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-65-the-ellipse\/\">Problem Set 65: The Ellipse<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-66-the-hyperbola\/\">Problem Set 66: The Hyperbola<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-67-the-parabola\/\">Problem Set 67: The Parabola<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-68-rotation-of-axes\/\">Problem Set 68: Rotation of Axes<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-69-conic-sections-in-polar-coordinates\/\">Problem Set 69: Conic Sections in Polar Coordinates<\/a><\/li>\n<\/ul>\n<h2>Module 12: Introduction to Calculus<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-70-finding-limits-numerical-and-graphical-approaches\/\">Problem Set 70: Finding Limits: Numerical and Graphical Approaches<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-71-finding-limits-properties-of-limits\/\">Problem Set 71: Finding Limits: Properties of Limits<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-72-continuity\/\">Problem Set 72: Continuity<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-73-derivatives\/\">Problem Set 73: Derivatives<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-28\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Problem Sets. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Puzzle Pieces. <strong>Authored by<\/strong>: LAFS. <strong>Provided by<\/strong>: Noun Project. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/thenounproject.com\/term\/puzzle-pieces\/963732\/\">https:\/\/thenounproject.com\/term\/puzzle-pieces\/963732\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Precalculus. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@11.14\">http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@11.14<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":23485,"menu_order":5,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Problem Sets\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Puzzle 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