This course includes:
66 video lessons
87 worksheets with video answer keys and PDF answer keys
66 lesson quizzes automatically graded
11 unit tests with a detailed answer key and grading rubric
This course introduces material found in a typical Algebra 2 class including the following topics:
Unit 1: Inequalities, Absolute Value Equations, Absolute Value Inequalities, General Problem Solving
Unit 2: Graphing Parent Functions and Transformations, Graph Reading, Graphing Piecewise Functions, Functions, Composite Functions, Inverse Functions
Unit 3: Solving systems in 2 variables, Solving systems in 3 variables, Systems of Inequalities, Linear Programming
Unit 4: Basic Matrices, Multiplying Matrices, Determinants, Inverse Matrices, Matrix Equations
Unit 5: Exponents, Simplifying Radicals, Add/Subtract/Multiply Radicals, Rationalize the Denominator, Rational Exponents, Radical Equations
Unit 6: Solving Quadratics by Taking Roots, Solving Quadratics by Factoring, Quadratic Formula, Completing the Square, Graphing Quadratics, Quadratic Inequalities, Complex Numbers, Projectile Motion
Unit 7: Definition of Logarithms, Properties of Logarithms, Common Logarithms, Natural Logarithms, Change of Base, Logarithmic Equations, Graphing Logarithms
Unit 8: Graphing Polynomials, Long Division of Polynomials, Synthetic Division of Polynomials, Zeros of a Polynomial
Unit 9: Simplify Rational Expressions, Multiple/Divide Rational Expressions, Add/Subtract Rational Expressions, Complex Fractions, Rational Equations, Graphing Rational Functions
Unit 10: Circles, Parabolas, Ellipses, Hyperbolas
Unit 11: Sequences, Series
In this lesson we discuss the intersection and union of sets and learn basic and compound inequalities with real world application.
Lesson 1 - Inequalities Answer Key
Lesson 1 - Inequalities Quiz
In this lesson we will learn how to solve an absolute value equation.
Lesson 2 - Absolute Value Equations Answer Key
Lesson 2 - Absolute Value Equations Quiz
In this lesson we will learn how to solve absolute value inequalities.
Lesson 3 - Absolute Value Inequalities Answer Key
Lesson 3 - Absolute Value Inequalities Quiz
In this lesson we will go through general problem solving techniques with an emphasis on number sense, literal equations, distance rate time problems, mixture problems, compound interest problems, and work problems.
Lesson 4 - General Problem Solving Answer Key 1
Lesson 4 - General Problem Solving Answer Key 2
Lesson 4 - General Problem Solving Quiz
Test Unit 1 Lessons 1 - 4
In this lesson we will look at parent functions with translations including left, right, up, down, reflections, stretch and shrink. Parent function graphs include linear, quadratic, absolute value, cubic, square root, and cube root.
Lesson 5 - Graphing Parent Functions and Transformations Answer Keys
Lesson 5 - Graphing Parent Functions and Transformations Quiz
In this lesson we will learn how to look at a given graph and determine the equation based on the type of function and transformation.
Lesson 6 - Graph Reading Answer Key
Lesson 6 - Graph Reading Quiz
In this lesson we will review finding the slope, finding the intercepts, and graphing linear functions. We will evaluate piecewise functions at specified values. Lastly we will learn to graph piecewise functions while discussing domain and range.
Lesson 7 - Graphing Piecewise Functions Part 1 Answer Key
Lesson 7 - Graphing Piecewise Functions Part 1 Quiz
In this lesson we will review finding the slope, finding the intercepts, and graphing linear functions. We will evaluate piecewise functions at specified values. Lastly we will learn to graph piecewise functions while discussing domain and range.
Lesson 8 - Graphing Piecewise Functions Part 2 Answer Key
Lesson 8 - Graphing Piecewise Functions Part 2 Quiz
In this lesson we will look at graphs find specified values. We will also look at the graphs as a whole and learn about different types of composite functions.
Lesson 9 - Functions Part 1 Answer Key
Lesson 9 - Functions Part 1 Quiz
In this lesson we will look at graphs to find where it is increasing/decreasing, and positive/negative while remembering domain and range.
Lesson 10 - Functions Part 2 Answer Key
Lesson 10 - Functions Part 2 Quiz
In this lesson we will discuss one-to-one functions and learn about inverse functions. We will also learn how to find the inverse of a given function.
Lesson 11 - Inverse Functions Answer Key
Lesson 11 - Inverse Functions Quiz
Test Unit 2 Lessons 5 - 11
In this lesson we will look at systems of equations with two variables. We will learn different techniques of solving including using graphing, substitution, and elimination. We will discuss the concept of possible answers and practice applications.
Lesson 12 - Solving Systems in 2 Variables Answer Key
Lesson 12 - Solving Systems in 2 Variables Quiz
In this lesson we will build on the material from lesson 12. We will learn to use a combination of substitution and elimination to solve systems of equations with three variables algebraically.
Lesson 13 - Solving Systems in 3 Variables Answer Keys
Lesson 13 - Solving Systems in 3 Variables Quiz
In this lesson we will review graphing a linear inequality and learn to graph systems of linear inequalities.
Lesson 14 - Systems of Inequalities Answer Key
Lesson 14 - Systems of Inequalities Quiz
In this lesson we will go over the concept of an objective function and a series of constraints while learning how to use them to create a graph and find maximum and minimum values.
Lesson 15 - Linear Programming Review Keys
Lesson 15 - Linear Programming Quiz
Test Unit 3 Lessons 12 - 15
In this lesson we will look at the concept of a matrix including order of a matrix, equal matrices, zero matrix, and additive inverse of a matrix. We will learn how to add and subtract matrices as well as scalar multiplication.
Lesson 16 - Basic Matrices Review Key
Lesson 16 - Basic Matrices Quiz
In this lesson we will discuss when we are allowed to multiply matrices versus when we cannot. We will learn how to multiply matrices and discuss why matrix multiplication is not commutative.
Lesson 17 - Multiplying Matrices Answer Key
Lesson 17 - Multiplying Matrices Quiz
In this lesson we will learn which matrices have a determinant and how to find the determinant of a 2 x 2 and a 3 x 3 matrix.
Lesson 18 - Determinants Answer Key
Lesson 18 - Determinants Quiz
In this lesson we will learn about inverse matrices, including what types of matrices will not have an inverse. We will learn how to find the inverse of a 2 x 2 matrix algebraically and using the calculator.
Lesson 19 - Inverse Matrices Answer Key
Lesson 19 - Inverse Matrices Quiz
In this lesson we will learn how to use matrices to solve systems of equations with real world application.
Lesson 20 - Matrix Equation Answer Key
Lesson 20 - Matrix Equations Quiz
Test Unit 4 Lessons 16 - 20
In this lesson we will learn the rules of exponents and how to apply them.
Lesson 21 - Exponents Answer Keys
Lesson 21 - Exponents Quiz
In this lesson we will go over the vocabulary relating to radicals and learn how to simplify radicals.
Lesson 22 - Simplifying Radicals Answer Key
Lesson 22 - Simplifying Radicals Quiz
In this lesson we will go over the rules for adding, subtracting, and multiplying radicals.
Lesson 23 - Add/Subtract/Multiply Radicals Answer Key
Lesson 23 - Add/Subtract/Multiply Quiz
In this lesson we will continue to use our rules on simplifying, adding, subtracting, and multiplying radicals while learning how to rationalize the denominator, sometimes using the conjugate.
Lesson 24 - Rationalize the Denominator Answer Key
Lesson 24 - Rationalize the Denominator Quiz
In this lesson we will learn about rational exponents and how to convert between rational exponents and radical notation.
Lesson 25 - Rational Exponents Part 1 Review Keys
Lesson 25 - Rational Exponents Part 1 Quiz
In this lesson we will combine our knowledge of converting rational exponents to radical notation and our rules of exponents.
Lesson 26 - Rational Exponents Part 2 Answer Key
Lesson 26 - Rational Equations Part 2 Quiz
In this lesson we will learn how to solve radical equations.
Lesson 27 - Radical Equations Answer Keys
Lesson 27 - Radical Equations Quiz
Test Unit 5 Lessons 21 - 27
In this lesson we will learn how to solve quadratic equations by taking square roots when applicable.
Lesson 28 - Solving Quadratic Equations by Roots Answer Key
Lesson 28 - Solving Quadratic Equations by Roots Quiz
In this lesson we will learn and practice how to factor polynomials using GCF, a=1, a>1, the difference of perfect squares, and the sum and difference of perfect cubes.
Lesson 29 - Quadratic Equations by Factoring Answer Key
Lesson 29 - Quadratic Equations by Factoring Quiz
In this lesson we will learn how to use the quadratic formula to solve quadratic equations.
Lesson 30 - Quadratic Formula Answer Key
Lesson 30 - Quadratic Formula Quiz
In this lesson we will learn how to use completing the square to solve quadratic equations.
Lesson 31 - Complete the Square Answer Key
Lesson 31 - Complete the Square Quiz
In this lesson we will learn different methods of graphing quadratics from vertex form and standard form. We will go over finding the vertex, axis of symmetry, intercepts, domain, range, and mirror point to help us graph.
Lesson 32 - Graphing Quadratics Answer Key
Lesson 32 - Graphing Quadratics Quiz
In this lesson we will learn how to solve quadratic inequalities.
Lesson 33 - Quadratic Inequalities Answer Key
Lesson 33 - Quadratic Inequalities Quiz
In this lesson we will learn about imaginary numbers and how to simplify, add, subtract, multiply, and divide them.
Lesson 34 - Complex Numbers Answer Key
Lesson 34 - Complex Numbers Quiz
In this lesson we will learn how to solve projectile motion problems using quadratic formula.
Lesson 35 - Projectile Motion Answer Keys
Lesson 35 - Projectile Motion Quiz
Test Unit 6 Lessons 28 - 35
In this lesson we will learn the definition of logarithms. We will evaluate logarithms and convert between exponential form and logarithmic form.
Lesson 36 - Definition of Logarithms Answer Keys
Lesson 36 - Definition of Logarithms Quiz
In this lesson we will learn the various properties of logarithms and how to apply them in order to expand or condense a logarithm.
Lesson 37 - Properties of Logarithms Answer Key
Lesson 37 - Properties of Logarithms Quiz
In this lesson we will learn how to find the exact value of common logarithms, natural logarithms, and change of base.
Lesson 38 - Common Logs, Natural Logs, and Change of Base Answer Key
Lesson 38 - Common Logs, Natural Logs, and Change of Base Quiz
In this lesson we will learn how to solve basic logarithmic equations.
Lesson 39 - Logarithmic Equations Part 1 Answer Key
Lesson 39 - Logarithmic Equations Part 1 Quiz
In this lesson we will use our properties of logarithms to help us solve logarithmic equations.
Lesson 40 - Logarithmic Equations Part 2 Answer Key
Lesson 40 - Logarithmic Equations Part 2 Quiz
In this lesson we will learn how to graph logarithms and find key features including domain, range, intercepts, and an asymptote.
Lesson 41 - Graphing Logarithms Answer Keys
Lesson 41 - Graphing Logarithms Quiz
Test Unit 7 Lessons 36 - 41
In this lesson we will look at polynomials and determine the degree, the maximum number of turns, and the end behavior based on the degree of the polynomial and the lead coefficient.
Lesson 42 - Graphing Polynomials Part 1 Answer Key
Lesson 42 - Graphing Polynomials Part 1 Quiz
In this lesson we will review interval notation, positive versus negative functions, increasing versus decreasing functions, and finding zeros. We will learn how to use this information as well as end behavior to sketch a graph of a polynomial.
Lesson 43 - Graphing Polynomials Part 2 Answer Key
Lesson 43 - Graphing Polynomials Part 2 Quiz
In this lesson we will learn how to divide polynomials using long division.
Lesson 44 - Long Division of Polynomials Answer Key
Lesson 44 - Long Division of Polynomials Quiz
In this lesson we will learn how to divide certain types of polynomials using synthetic division.
Lesson 45 - Synthetic Division of Polynomials Answer Key
Lesson 45 - Synthetic Division of Polynomials Quiz
In this lesson we will review real zeros including rational and irrational as well as nonreal zeros containing imaginary numbers. We will learn how to find rational zeros and the multiplicity of each.
Lesson 46 - Zeros of a Polynomial Part 1 Answer Key
Lesson 46 - Zeros of a Polynomial Part 1 Quiz
In this lesson we will learn to find the equation of a polynomial function if given the degree, the zeros, and/or the end behavior.
Lesson 47 - Zeros of a Polynomial Part 2 Answer Key
Lesson 47 - Zeros of a Polynomial Part 2 Quiz
Test Unit 8 Lessons 42 - 47
In this lesson we will learn how to simplify rational expressions.
Lesson 48 - Simplify Rational Expressions Answer Key
Lesson 48 - Simplify Rational Expressions Quiz
In this lesson we will expand on simplifying rational expressions by learning how to multiply and divide rational expressions.
Lesson 49 - Multiply and Divide Rational Expressions Answer Key
Lesson 49 - Multiply and Divide Rational Expressions Quiz
In this lesson we will learn how to add or subtract rational expressions.
Lesson 50 - Add/Subtract Rational Expressions Answer Key
Lesson 50 - Add/Subtract Rational Expressions Quiz
In this lesson we will learn how to simplify a complex fraction.
Lesson 51 - Complex Fractions Answer Key
Lesson 51 - Complex Fractions Quiz
In this lesson we will learn how to solve basic rational equations.
Lesson 52 - Rational Equations Part 1 Answer Key
Lesson 52 - Rational Equations Part 1 Quiz
In this lesson we will combine concepts of solving rational equations and solving quadratics.
Lesson 53 - Rational Equations Part 2 Answer Keys
Lesson 53 - Rational Equations Part 2 Quiz
In this lesson we will learn how to find vertical and horizontal asymptotes, and use them with intercepts and test points to graph a rational function.
Lesson 54 - Graphing Rational Functions Answer Keys
Lesson 54 - Graphing Rational Functions Quiz
Test Unit 9 Lessons 48 - 54
In this lesson we will learn how to graph by finding the center and radius of a circle. We will work with graphing form and standard form.
Lesson 55 - Graphing Circles Answer Keys
Lesson 55 - Graphing Circles Quiz
In this section we will look at graphs of parabolas and find key features such as the vertex, focus, axis of symmetry, directrix, and find the equation.
Lesson 56 - Parabolas Part 1 Answer Key
Lesson 56 - Parabolas Part 1 Quiz
In this lesson we will be given different key features of a parabola and learn how to find the missing key features and graph.
Lesson 57 - Parabolas Part 2 Answer Keys
Lesson 57 - Parabolas Part 2 Quiz
In this lesson we will learn about an ellipse and the key features to help graph including the center, vertices, co-vertices, and foci.
Lesson 58 - Ellipse Part 1 Answer Key
Lesson 58 - Ellipse Part 1 Quiz
In this lesson we will be given certain key features of an ellipse and learn to find the rest of the key features.
Lesson 59 - Ellipse Part 2 Answer Key
Lesson 59 - Ellipse Part 2 Quiz
In this lesson we will study hyperbolas and how to find key features including asymptotes, transverse axis, conjugate axis, vertices, foci, and intercepts in order to graph.
Lesson 60 - Hyperbolas Part 1 Answer Key
Lesson 60 - Hyperbolas Part 1 Quiz
In this lesson we will be given specific key features of a hyperbola and we will learn to find the rest of the key features in order to graph.
Lesson 61 - Hyperbolas Part 2 Answer Key
Lesson 61 - Hyperbolas Part 2 Quiz
In this lesson we will be given the equation of a conic. We will learn how to determine which type of conic and then find which key features are necessary to sketch a graph.
Lesson 62 - All Conics Answer Key
Lesson 62 - All Conics Quiz
Test Unit 10 Lessons 55 - 62
In this lesson we will learn about sequences including finite, infinite, arithmetic, geometric, explicit and recursive sequences.
Lesson 63 - Sequences Part 1 Answer Keys
Lesson 63 - Sequences Part 1 Quiz
In this lesson we will be given specific terms of an arithmetic or geometric sequence and learn how to find any other given term.
Lesson 64 - Sequences Part 2 Answer Key
Lesson 64 - Sequences Part 2 Quiz
In this lesson we will learn about series and sigma notation.
Lesson 65 - Series Part 1 Answer Key
Lesson 65 - Series Part 1 Quiz
In this lesson we will learn to find the partial sum of an arithmetic sequence, the partial sum of a geometric sequence, and the infinite sum of a geometric sequence.
Lesson 66 - Series Part 2 Answer Keys
Lesson 66 - Series Part 2 Quiz
Test Unit 11 Lessons 63 - 66