logo

How It Works

Master Algebra 2 Topics

Step-by-step solutions that prepare you for Grade 12 success

Try Our Algebra 2 Practice Test

Algebra II Help Logo
📈
Test scores improve 10-15%
✨
Stronger problem-solving skills
💡
Advanced topic comprehension
📚
Grade 12 readiness assured
Start Now
Step-by-Step Solutions

Master functions, equations, and algebraic concepts

Perfect Curriculum Match

Aligned with Common Core and state standards requirements

Guaranteed Results

Most students improve one letter grade in 4-6 weeks

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

Algebra 2 Topics

​
​
video
Linear Equations
Introduction to linear equations
Applications of linear equations
Solving absolute value equations
video
Inequalities
Graphing linear inequalities in two variables
Graphing quadratic inequalities in two variables
Solving absolute value inequalities
Graphing systems of quadratic inequalities
video
Functions
Identifying functions
Domain and range of a function
Function notation
Slope intercept form: y = mx + b
Graphing from slope-intercept form y=mx+b
Application of linear relations
video
Systems of Equations
Determining number of solutions to linear equations
Solving systems of linear equations by graphing
Using elimination method to solve systems of equations
Using substitution method to solve systems of equations
Money related questions in linear equations
Unknown number related questions in linear equations
Distance and time related questions in linear equations
Rectangular shape related questions in linear equations
System of quadratic-quadratic equations
Solving 3 variable systems of equations by substitution
Solving 3 variable systems of equations by elimination
Solving 3 variable systems of equations with no solution, infinite solutions
Word problems relating 3 variable systems of equations
video
Systems of Inequalities
What is linear programming?
Linear programming word problems
video
Complex Numbers
Introduction to imaginary numbers
Complex numbers and complex planes
Adding and subtracting complex numbers
Complex conjugates
Multiplying and dividing complex numbers
Distance and midpoint of complex numbers
Angle and absolute value of complex numbers
video
Factoring
Multiplying monomial by monomial
Factoring polynomials by grouping
Factor by taking out the greatest common factor
Factor by grouping
Factor theorem
Factoring difference of cubes
Factoring sum of cubes
video
Quadratic Functions
Characteristics of quadratic functions
Solving quadratic equations by factoring
Solving quadratic equations by completing the square
Using quadratic formula to solve quadratic equations
Nature of roots of quadratic equations: the discriminant
video
Polynomials
Characteristics of polynomials
Adding and subtracting polynomials
Multiplying polynomial by polynomial
Polynomial long division
Polynomial synthetic division
Remainder theorem
Rational zeroes theorem
Characteristics of polynomial graphs
Repeated factors (Multiplicities) in polynomials
Imaginary zeros of polynomials
Determining the equation of a polynomial function
Pascal's triangle
Binomial theorem
What is a polynomial function?
Applications of polynomial functions
Solving polynomial inequalities
Fundamental theorem of algebra
Descartes' rule of signs
video
Radical Functions and Expressions
Squares and Square Roots
Cubic and Cube Roots
Evaluating and simplifying radicals
Multiplying and dividing radicals
Adding and subtracting radicals
Rationalize the denominator
Basic radical functions
Transformations of radical functions
Solving radical equations
Operations with radicals
Conversion between entire radicals and mixed radicals
Adding and subtracting radicals
Multiplying radicals (advanced)
video
Rational Exponents
Power of a power rule
Rational exponents
video
Rational Functions and Expressions
Quotient rule of exponents
Power of a product rule
Power of a quotient rule
Negative exponent rule
What is a rational function?
Point of discontinuity
Vertical asymptote
Horizontal asymptote
Slant asymptote
Solving rational equations
Solving rational inequalities
Simplifying rational expressions and restrictions
Adding and subtracting rational expressions
Multiplying rational expressions
Dividing rational expressions
Applications of rational equations
Simplifying complex fractions
Partial fraction decomposition
video
Reciprocal Functions
Graphing reciprocals of linear functions
Graphing reciprocals of quadratic functions
video
Function Operations
Inverse functions
System of linear-quadratic equations
video
Families of Functions
Transformations of functions: Horizontal translations
Transformations of functions: Vertical translations
Reflection across the y-axis: y = f(-x)
Reflection across the x-axis: y = -f(x)
Horizontal stretches in transformations
Vertical stretches in transformations
Combining transformations of functions
Even and odd functions
video
Variation
Direct variation
video
Piecewise Functions
Evaluating piecewise functions
Graphing piecewise linear functions
Graphing piecewise non-linear functions
video
Logarithms
What is a logarithm?
Converting from logarithmic form to exponential form
Evaluating logarithms without a calculator
Common logarithms
Evaluating logarithms using change-of-base formula
Natural log: ln
Converting from exponential form to logarithmic form
Product law of logarithms
Solving logarithmic equations
Logarithmic scale: Richter scale (earthquake)
Logarithmic scale: pH scale
Logarithmic scale: dB scale
Finance: Future value and present value
video
Exponential and Logarithmic Functions
Graphing exponential functions
Graphing transformations of exponential functions
Finding an exponential function given its graph
Graphing logarithmic functions
Finding a logarithmic function given its graph
Finance: compound interest
Continuous growth and decay
Solving exponential equations with logarithms
video
Angle Measures
Converting between degrees and radians
Angle in standard position
Coterminal angles
Reference angle
video
Trigonometry
Solving first degree trigonometric equations
Determining non-permissible values for trig expressions
Solving second degree trigonometric equations
Solving expressions using 45-45-90 special right triangles
Solving expressions using 30-60-90 special right triangles
Find the exact value of trigonometric ratios
ASTC rule in trigonometry (All Students Take Calculus)
Solving trigonometric equations involving multiple angles
Solving trigonometric equations using pythagorean identities
Solving trigonometric equations using sum and difference identities
Solving trigonometric equations using double-angle identities
Use sine ratio to calculate angles and sides (Sin = oh\frac{o}{h}ho​ )
Using cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h}ha​ )
Use tangent ratio to calculate angles and sides (Tan = oa\frac{o}{a}ao​)
Combination of SohCahToa questions
Pythagorean theorem
Unit circle
Sine law
Cosine law
Word problems relating ladder in trigonometry
Word problems relating guy wire in trigonometry
Other word problems relating angles in trigonometry
video
Bearings
Introduction to bearings
Bearings and direction word problems
Angle of elevation and depression
video
Graphing Trigonometric Functions
Sine graph: y = sin x
Cosine graph: y = cos x
Tangent graph: y = tan x
Cotangent graph: y = cot x
Secant graph: y = sec x
Cosecant graph: y = csc x
Graphing transformations of trigonometric functions
Determining trigonometric functions given their graphs
video
Trigonometric Identities
Quotient identities and reciprocal identities
Sum and difference identities
Pythagorean identities
Double-angle identities
video
Sequences and Series
Arithmetic sequences
Geometric sequences
Arithmetic series
Infinite geometric series
Geometric series
Sigma notation
video
Probability
Fundamental counting principle
Probability
Path counting problems
Permutation vs. Combination
Permutations
Combinations
Probability of independent events
Probability with Venn diagrams
video
Statistics
Influencing factors on data collection
Median and mode
Mean
Range and outliers
Application of averages
video
Parabolas
Introduction to quadratic functions
Quadratic function in general form: y = ax2+bx+cax^2 + bx+cax2+bx+c
Quadratic function in vertex form: y = a(x-p)^2 + q
Converting from general form to vertex form by completing the square
Graphing parabolas for given quadratic functions
Finding the quadratic functions for given parabolas
video
Introduction to Conic Sections
Conics - Circle
Conics - Parabola
video
Introduction to Matrices
Notation of matrices
Adding and subtracting matrices
Scalar multiplication
Matrix multiplication
The three types of matrix row operations
video
Properties of Matrices
Zero Matrix
Identity Matrix
Properties of matrix addition
Properties of scalar multiplication
Properties of matrix multiplication
video
Determinants and Inverses of Matrices
The determinant of a 2 x 2 matrix
The determinant of a 3 x 3 matrix (General & Shortcut Method)
The inverse of a 2 x 2 matrix
The inverse of 3 x 3 matrices with matrix row operations
The inverse of 3 x 3 matrix with determinants and adjugate
2 x 2 invertible matrix
Solving linear systems using Cramer's Rule
Solving linear systems using 2 x 2 inverse matrices
video
Transformations with Matrices
Transforming vectors with matrices
Transforming shapes with matrices
Finding the transformation matrix

Our approach aligns with the evidence

+13-25%

Exam Scores

2x

Better Recall

25%

Less Anxiety
Start Practice

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.

With plenty of videos, exam prep materials, and valuable revision aides, StudyPug will be your very own online algebra 2 tutor.

Is Algebra 2 Hard?

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!

Through an extensive collection of relevant and up-to-date algebra 2 tutorial content, we're able to deliver an easy to interpret set of step-by-step examples, providing you with a better understanding of the core principles and advanced elements of algebra. With 1000s of lessons to observe and relevant algebra exam prep materials that cover topics found in popular algebra textbooks, StudyPug is able to offer an exceptional collection of revision content.

Our online Algebra 2 help content will cover everything you can expect to be taught in the classroom as well as the content in textbooks not covered by your teachers. To further help you tackle algebra 2, our resources are accessible whenever you require them, working alongside your schedule and providing 24/7 help and guidance to better help you revise and prepare for upcoming exams.

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.

This is made possible through the structuring of our content. Each course considers the content from previous lower level courses and the courses that will follow. This ensures that you're never left entering a new course unprepared and unable to make the most of the content. Instead, you'll be better prepared with context and the relevant groundwork needed to build upon your level of understanding.

Additionally, upon completing Algebra 2, you may find that your problem solving skills outside of class have started to improve. This can be tremendously beneficial, because whether you know it or not, we use algebra in our daily lives more than we actually think we do.

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.

If you're currently studying algebra 1 or "basic algebra", consider using our online revision resources as they will not only assist you in your upcoming exams but they are also structured to help you seamlessly transition into our algebra 2 content.

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.

As an introduction to our platform and to truly experience the benefits of our resources, consider sampling a few of free online math tutor lessons in the following areas of Algebra 2:

  • Introduction to Linear Equations
  • Domain and Range of a Function
  • Function Notation
  • Slope Intercept Form: Y=MX + B
  • Determining Number of Solutions to Linear Equations
  • Money Related Questions in Linear Equations
  • Introduction to Imaginary Numbers
  • Complex Numbers and Complex Planes
  • What is a Rational Function?
  • Adding and Subtracting Rational Expressions

Explore

Geometry

Trigonometry

Algebra

Basic Math

Statistics

Calculus

Differential Equations

Linear Algebra

Chemistry

Organic Chemistry

Physics

Microeconomics

Learning

For Students

For Parents

For Home Schoolers

For Teachers

About

About Us

How it works

Pricing

FAQ

Testimonials

Contact Us

Blog

Curriculum

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

youtube
facebook
instagram
x.com

© 2015 – 2025 StudyPug

Sitemap

Terms of Service

Privacy Policy