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Hotmath Practice Problems
Title:
Hotmath Algebra 2
Author:
Hotmath Team
Free
Chapter 1: Equations and Inequalities
Section 1: Some Properties of Real Numbers
Section 2: Algebraic Expressions
Section 3: Variation
Section 4: Solving Linear Equations
Section 5: Formulas and Models
Section 6: Solving Linear Inequalities
Section 7: Absolute Value Sentences
Chapter 2: Linear Relationships and Functions
Section 1: Functions and their Graphs
Section 2: Slope of a Line
Section 3: Graphing Linear Equations
Section 4: Writing Equations of Lines
Section 5: Special Functions
Section 6: Correlation and Lines of Best Fit
Chapter 3: Systems of Linear Equations and Inequalities
Section 1: Solving Systems of Linear Equations by Graphing
Section 2: Solving Systems of Linear Equations Algebraically
Section 3: Graphing and Solving Systems of Linear Inequalities
Section 4: Linear Programming
Section 5: Graphing and Solving Systems of Linear Equations in Two Variables
Chapter 4: Matrices and Matrix Operations
Section 1: Matrix Operations
Section 2: Matrix Multiplication
Section 3: The Determinant of a Matrix and Cramer's Rule
Section 4: Identity and Inverse Matrices
Section 5: Augmented Matrices
Section 6: Matrix Transformations
Chapter 5: Quadratic Equations
Section 1: Solving Quadratic Equations by Finding Square Roots
Section 2: Solving Quadratic Equations by Factoring
Section 3: Completing the Square
Section 4: Complex Numbers
Section 5: Complex Conjugates and Multiplicative Inverses
Section 6: The Discriminant
Section 7: The Quadratic Formula
Section 8: Solving Quadratic Inequalities Graphically
Chapter 6: Polynomial Functions
Section 1: Properties of Exponents
Section 2: Polynomials
Section 3: Scientific Notation and Significant Digits
Section 4: Evaluating and Graphing Polynomials
Section 5: Adding, Subtracting and Multiplying Polynomials
Section 6: Factoring Polynomials
Section 7: Solving Polynomial Equations and Inequalities
Section 8: Polynomial Division, The Remainder and Factor Theorems
Section 9: Rational Zeros and The Fundamental Theorem of Algebra
Section 10: Analyzing Graphs of Polynomial Functions Using Zeros
Section 11: Finite Differences and Modeling Data with Polynomials
Chapter 7: Rational Expressions, Equations and Exponents
Section 1: Graphing Rational Functions
Section 2: Direct, Inverse, and Joint Variation
Section 3: Multiplying and Dividing Rational Expressions
Section 4: Adding and Subtracting Rational Expressions
Section 5: Solving Rational Equations
Section 6: nth Roots and Rational Exponents
Section 7: Properties of Rational Exponents
Section 8: Graphs of Square Roots and Cube Roots
Section 9: Operations with Functions
Section 10: Inverse Functions
Section 11: Complex Fractions
Chapter 8: Exponential and Logarithmic Functions
Section 1: Real Exponents and Exponential Functions
Section 2: Logarithmic Functions
Section 3: Properties of Logarithms
Section 4: The Natural Base, e
Section 5: Natural Logarithms
Section 6: Common Logarithms
Section 7: Solving Exponential and Logarithmic Equations
Section 8: Problem Solving
Section 9: Exponential Models
Chapter 9: Sequences and Series
Section 1: Comparing Sequences and Series
Section 2: Arithmetic Sequences and Series
Section 3: Geometric Sequences and Series
Section 4: Factorials, Permutations and Combinations
Section 5: Pascal's Triangle and the Binomial Theorem
Section 6: Binomial Probability and Binomial Distribution
Section 7: The Normal Distribution
Chapter 10: Trigonometry
Section 1: Degree and Radian Measure
Section 2: Right Angle Trigonometry
Section 3: Trigonometric Functions of General Angles
Section 4: The Unit Circle
Section 5: Law of Sines and Law of Cosines
Section 6: Solving General Triangles
Section 7: Areas of Triangles
Section 8: Inverse Trigonometric Functions
Section 9: Parametric Equations and Projectile Motion
Chapter 11: Trigonometric Identities, Graphs and Formulas
Section 1: Fundamental Trigonometric Identities.
Section 2: Circular Functions, Periodicity and Symmetry
Section 3: Graphing Trigonometric Functions
Section 4: Translations and Reflections of Trigonometric Graphs
Section 5: Solving Trigonometric Equations
Section 6: Sum and Difference Formulas
Section 7: Double- and Half-Angle Formulas
Chapter 12: Quadratic Relations/Analytic Geometry
Section 1: The Distance Formula and the Midpoint Formula
Section 2: Circles
Section 3: Parabolas
Section 4: Ellipses
Section 5: Hyperbolas
Section 6: Translations of Conics
Section 7: Classifying Conics
Section 8: Geometry of Quadratic Systems
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