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  1. 1Linear Equations
    1. 1.1Introduction to linear equations
    2. 1.2Applications of linear equations
    3. 1.3Solving absolute value equations
  2. 2Inequalities
    1. 2.1Graphing linear inequalities in two variables
    2. 2.2Graphing quadratic inequalities in two variables
    3. 2.3Solving absolute value inequalities
    4. 2.4Graphing systems of quadratic inequalities
  3. 3Functions
    1. 3.1Identifying functions
    2. 3.2Domain and range of a function
    3. 3.3Function notation
    4. 3.4Slope intercept form: y = mx + b
    5. 3.5Graphing from slope-intercept form y=mx+b
    6. 3.6Application of linear relations
  4. 4Systems of Equations
    1. 4.1Determining number of solutions to linear equations
    2. 4.2Solving systems of linear equations by graphing
    3. 4.3Using elimination method to solve systems of equations
    4. 4.4Using substitution method to solve systems of equations
    5. 4.5Money related questions in linear equations
    6. 4.6Unknown number related questions in linear equations
    7. 4.7Distance and time related questions in linear equations
    8. 4.8Rectangular shape related questions in linear equations
    9. 4.9System of quadratic-quadratic equations
    10. 4.10Solving 3 variable systems of equations by substitution
    11. 4.11Solving 3 variable systems of equations by elimination
    12. 4.12Solving 3 variable systems of equations with no solution, infinite solutions
    13. 4.13Word problems relating 3 variable systems of equations
  5. 5Systems of Inequalities
    1. 5.1What is linear programming?
    2. 5.2Linear programming word problems
  6. 6Complex Numbers
    1. 6.1Introduction to imaginary numbers
    2. 6.2Complex numbers and complex planes
    3. 6.3Adding and subtracting complex numbers
    4. 6.4Complex conjugates
    5. 6.5Multiplying and dividing complex numbers
    6. 6.6Distance and midpoint of complex numbers
    7. 6.7Angle and absolute value of complex numbers
  7. 7Factoring
    1. 7.1Multiplying monomial by monomial
    2. 7.2Factoring polynomials by grouping
    3. 7.3Factor by taking out the greatest common factor
    4. 7.4Factor by grouping
    5. 7.5Factor theorem
    6. 7.6Factoring difference of cubes
    7. 7.7Factoring sum of cubes
  8. 8Quadratic Functions
    1. 8.1Characteristics of quadratic functions
    2. 8.2Solving quadratic equations by factoring
    3. 8.3Solving quadratic equations by completing the square
    4. 8.4Using quadratic formula to solve quadratic equations
    5. 8.5Nature of roots of quadratic equations: the discriminant
  9. 9Polynomials
    1. 9.1Characteristics of polynomials
    2. 9.2Adding and subtracting polynomials
    3. 9.3Multiplying polynomial by polynomial
    4. 9.4Polynomial long division
    5. 9.5Polynomial synthetic division
    6. 9.6Remainder theorem
    7. 9.7Rational zeroes theorem
    8. 9.8Characteristics of polynomial graphs
    9. 9.9Repeated factors (Multiplicities) in polynomials
    10. 9.10Imaginary zeros of polynomials
    11. 9.11Determining the equation of a polynomial function
    12. 9.12Pascal's triangle
    13. 9.13Binomial theorem
    14. 9.14What is a polynomial function?
    15. 9.15Applications of polynomial functions
    16. 9.16Solving polynomial inequalities
    17. 9.17Fundamental theorem of algebra
    18. 9.18Descartes' rule of signs
  10. 10Radical Functions and Expressions
    1. 10.1Squares and Square Roots
    2. 10.2Cubic and Cube Roots
    3. 10.3Evaluating and simplifying radicals
    4. 10.4Multiplying and dividing radicals
    5. 10.5Adding and subtracting radicals
    6. 10.6Rationalize the denominator
    7. 10.7Basic radical functions
    8. 10.8Transformations of radical functions
    9. 10.9Solving radical equations
    10. 10.10Operations with radicals
    11. 10.11Conversion between entire radicals and mixed radicals
    12. 10.12Adding and subtracting radicals
    13. 10.13Multiplying radicals (advanced)
  11. 11Rational Exponents
    1. 11.1Power of a power rule
    2. 11.2Rational exponents
  12. 12Rational Functions and Expressions
    1. 12.1Quotient rule of exponents
    2. 12.2Power of a product rule
    3. 12.3Power of a quotient rule
    4. 12.4Negative exponent rule
    5. 12.5What is a rational function?
    6. 12.6Point of discontinuity
    7. 12.7Vertical asymptote
    8. 12.8Horizontal asymptote
    9. 12.9Slant asymptote
    10. 12.10Solving rational equations
    11. 12.11Solving rational inequalities
    12. 12.12Simplifying rational expressions and restrictions
    13. 12.13Adding and subtracting rational expressions
    14. 12.14Multiplying rational expressions
    15. 12.15Dividing rational expressions
    16. 12.16Applications of rational equations
    17. 12.17Simplifying complex fractions
    18. 12.18Partial fraction decomposition
  13. 13Reciprocal Functions
    1. 13.1Graphing reciprocals of linear functions
    2. 13.2Graphing reciprocals of quadratic functions
  14. 14Function Operations
    1. 14.1Inverse functions
    2. 14.2System of linear-quadratic equations
  15. 15Families of Functions
    1. 15.1Transformations of functions: Horizontal translations
    2. 15.2Transformations of functions: Vertical translations
    3. 15.3Reflection across the y-axis: y = f(-x)
    4. 15.4Reflection across the x-axis: y = -f(x)
    5. 15.5Horizontal stretches in transformations
    6. 15.6Vertical stretches in transformations
    7. 15.7Combining transformations of functions
    8. 15.8Even and odd functions
  16. 16Variation
    1. 16.1Direct variation
  17. 17Piecewise Functions
    1. 17.1Evaluating piecewise functions
    2. 17.2Graphing piecewise linear functions
    3. 17.3Graphing piecewise non-linear functions
  18. 18Logarithms
    1. 18.1What is a logarithm?
    2. 18.2Converting from logarithmic form to exponential form
    3. 18.3Evaluating logarithms without a calculator
    4. 18.4Common logarithms
    5. 18.5Evaluating logarithms using change-of-base formula
    6. 18.6Natural log: ln
    7. 18.7Converting from exponential form to logarithmic form
    8. 18.8Product law of logarithms
    9. 18.9Solving logarithmic equations
    10. 18.10Logarithmic scale: Richter scale (earthquake)
    11. 18.11Logarithmic scale: pH scale
    12. 18.12Logarithmic scale: dB scale
    13. 18.13Finance: Future value and present value
  19. 19Exponential and Logarithmic Functions
    1. 19.1Graphing exponential functions
    2. 19.2Graphing transformations of exponential functions
    3. 19.3Finding an exponential function given its graph
    4. 19.4Graphing logarithmic functions
    5. 19.5Finding a logarithmic function given its graph
    6. 19.6Finance: compound interest
    7. 19.7Continuous growth and decay
    8. 19.8Solving exponential equations with logarithms
  20. 20Angle Measures
    1. 20.1Converting between degrees and radians
    2. 20.2Angle in standard position
    3. 20.3Coterminal angles
    4. 20.4Reference angle
  21. 21Trigonometry
    1. 21.1Solving first degree trigonometric equations
    2. 21.2Determining non-permissible values for trig expressions
    3. 21.3Solving second degree trigonometric equations
    4. 21.4Solving expressions using 45-45-90 special right triangles
    5. 21.5Solving expressions using 30-60-90 special right triangles
    6. 21.6Find the exact value of trigonometric ratios
    7. 21.7ASTC rule in trigonometry (All Students Take Calculus)
    8. 21.8Solving trigonometric equations involving multiple angles
    9. 21.9Solving trigonometric equations using pythagorean identities
    10. 21.10Solving trigonometric equations using sum and difference identities
    11. 21.11Solving trigonometric equations using double-angle identities
    12. 21.12Use sine ratio to calculate angles and sides (Sin = oh\frac{o}{h} )
    13. 21.13Using cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
    14. 21.14Use tangent ratio to calculate angles and sides (Tan = oa\frac{o}{a})
    15. 21.15Combination of SohCahToa questions
    16. 21.16Pythagorean theorem
    17. 21.17Unit circle
    18. 21.18Sine law
    19. 21.19Cosine law
    20. 21.20Word problems relating ladder in trigonometry
    21. 21.21Word problems relating guy wire in trigonometry
    22. 21.22Other word problems relating angles in trigonometry
  22. 22Bearings
    1. 22.1Introduction to bearings
    2. 22.2Bearings and direction word problems
    3. 22.3Angle of elevation and depression
  23. 23Graphing Trigonometric Functions
    1. 23.1Sine graph: y = sin x
    2. 23.2Cosine graph: y = cos x
    3. 23.3Tangent graph: y = tan x
    4. 23.4Cotangent graph: y = cot x
    5. 23.5Secant graph: y = sec x
    6. 23.6Cosecant graph: y = csc x
    7. 23.7Graphing transformations of trigonometric functions
    8. 23.8Determining trigonometric functions given their graphs
  24. 24Trigonometric Identities
    1. 24.1Quotient identities and reciprocal identities
    2. 24.2Sum and difference identities
    3. 24.3Pythagorean identities
    4. 24.4Double-angle identities
  25. 25Sequences and Series
    1. 25.1Arithmetic sequences
    2. 25.2Geometric sequences
    3. 25.3Arithmetic series
    4. 25.4Infinite geometric series
    5. 25.5Geometric series
    6. 25.6Sigma notation
  26. 26Probability
    1. 26.1Fundamental counting principle
    2. 26.2Probability
    3. 26.3Path counting problems
    4. 26.4Permutation vs. Combination
    5. 26.5Permutations
    6. 26.6Combinations
    7. 26.7Probability of independent events
    8. 26.8Probability with Venn diagrams
  27. 27Statistics
    1. 27.1Influencing factors on data collection
    2. 27.2Median and mode
    3. 27.3Mean
    4. 27.4Range and outliers
    5. 27.5Application of averages
  28. 28Parabolas
    1. 28.1Introduction to quadratic functions
    2. 28.2Quadratic function in general form: y = ax2+bx+cax^2 + bx+c
    3. 28.3Quadratic function in vertex form: y = a(x-p)^2 + q
    4. 28.4Converting from general form to vertex form by completing the square
    5. 28.5Graphing parabolas for given quadratic functions
    6. 28.6Finding the quadratic functions for given parabolas
  29. 29Introduction to Conic Sections
    1. 29.1Conics - Circle
    2. 29.2Conics - Parabola
  30. 30Introduction to Matrices
    1. 30.1Notation of matrices
    2. 30.2Adding and subtracting matrices
    3. 30.3Scalar multiplication
    4. 30.4Matrix multiplication
    5. 30.5The three types of matrix row operations
  31. 31Properties of Matrices
    1. 31.1Zero Matrix
    2. 31.2Identity Matrix
    3. 31.3Properties of matrix addition
    4. 31.4Properties of scalar multiplication
    5. 31.5Properties of matrix multiplication
  32. 32Determinants and Inverses of Matrices
    1. 32.1The determinant of a 2 x 2 matrix
    2. 32.2The determinant of a 3 x 3 matrix (General & Shortcut Method)
    3. 32.3The inverse of a 2 x 2 matrix
    4. 32.4The inverse of 3 x 3 matrices with matrix row operations
    5. 32.5The inverse of 3 x 3 matrix with determinants and adjugate
    6. 32.62 x 2 invertible matrix
    7. 32.7Solving linear systems using Cramer's Rule
    8. 32.8Solving linear systems using 2 x 2 inverse matrices
  33. 33Transformations with Matrices
    1. 33.1Transforming vectors with matrices
    2. 33.2Transforming shapes with matrices
    3. 33.3Finding the transformation matrix

What is Algebra 2?

Algebra is the section of mathematics in which letters and symbols can be used to represent certain values/numbers in equations and formulae. Algebra 2 builds off the core principles taught in the Algebra 1 course and Basic Algebra course, exploring complex numbers, functions, inequalities, linear equations, and more. In certain schools, Algebra 2 is often referred to as "Intermediate Algebra" but the two are essentially the same thing.

Our Algebra 2 lessons take an "algebra 2 for dummies" approach in that we make sure that all learners can take something away from our content. Whether you're a novice or well-versed in the world of Algebra, you'll find valuable information and resources throughout our Algebra 2 online tutor.

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Initially, learning algebra 2 can be a daunting prospect, but once you have a firm grasp on the fundamentals, understanding algebra 2 can be made a lot easier and that's where StudyPug comes in!

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What Comes After Algebra 2?

Upon successfully completing a course in Algebra 2 (usually taken alongside Trigonometry course), most students are then adequately prepared to take on a course in Precalculus. StudyPug provides help with precalculus as well for trigonometry with revision aids and videos so that you can efficiently transition from course to course with ease.

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What Grade is Algebra 2?

Algebra 2 or "intermediate algebra" is usually taught to students in 11th grade. With that being said, you don't need to be in 11th grade to benefit from our content. StudyPug caters to all learners regardless of their entry-point. Whether you're in 11th grade and need help with algebra 2 tests, or returning to education and need a brief refresher, StudyPug has the revision resources for you.

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What Do You Learn in Algebra 2?

Throughout algebra 2, you'll learn how to identify functions, solve absolute value equations, determine the number of solutions to linear equations, explore systems of inequalities, complex numbers, multiplying radicals and much more.

To help you better understand these various topics and to best prepare you for your upcoming exams, our revision materials have been designed to accurately reflect the up-to-date content found in the following popular algebra textbooks:

  • Algebra with Pizzazz
  • Holt McDougal Algebra 2
  • Glencoe Algebra 2
  • Prentice Hall Algebra 2
  • McDougal Littell Algebra 2
  • Big Ideas Math Algebra 2

If you've struggled to digest the language within these books, our team of mathematics tutors have broken down the key talking points of these textbooks and have expertly delivered them in an easy to understand format that you can pause, fast-forward, and rewind. By offering you an unprecedented level of video content to review, we're able to provide you with relevant study content that you're able to tackle at your own pace, delivering an easy practice solution that can dramatically improve your exam success rate.

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  • I'm taking Intermediate Algebra in high school. Is your Algebra 2 class compatible with my class?

    Yes, Intermediate Algebra and Algebra 2 in high school are the same thing, just different naming. Or, if you are a student who is in a 10th grade Algebra 2 or sophomore Algebra 2 class, this is also the right course for you.

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  • My class is called Algebra 2 and Trigonometry. Which course should I sign up for?

    Our Algebra 2 help should cover all you need to know for your class. However, if you need more help on trig, check out our Online Trigonometry help too. Your subscription gives you unlimited access to all math help in all courses.

  • What are the prerequisites for Algebra 2?

    A prerequisite for this course is either Algebra 1 or Basic Algebra, and after you have mastered Algebra 2, your follow up course should be either Pre-Calculus or Trigonometry.

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