Algebra lessons

Find here a great variety of algebra lessons that will help you learn algebra in no time.

Prerequisites

  1. What is algebra?
  2. History of negative numbers
  3. Introduction to integers
  4. Comparing integers
  5. Adding integers
  6. Subtracting integers
  7. Modeling the addition/subtraction of integers
  8. Multiplying integers
  9. Modeling the multiplication of integers
  10. Dividing integers
  11. Why multiply before adding
  12. Order of operations
  13. Variables in algebra
  14. Writing an algebraic expression
  15. Evaluate an algebraic expression
  16. Important academic words in math
  17. Common mistakes in math
  18. Classification of numbers

Solving one, two, or multi-step equations

  1. Linear equations
  2. Solving equations using addition
  3. Solving equations using subtraction 
  4. Solving multiplication equations 
  5. Solving two-step equations
  6. Solving an equation with a variable on both sides
  7. Solve an equation using the distributive property
  8. Solving literal equations

Exponents, scientific notation, square root, and rational numbers

  1. Exponents
  2. Laws of exponents
  3. Properties of exponents
  4. Scientific notation
  5. Compute with scientific notation
  6. Rational numbers
  7. Irrational numbers
  8. Square root of a number
  9. Square roots table
  10. Estimate the square root of a number
  11. Square root algorithm

Graphing equalities, inequalities, linear equations, and linear inequalities

  1. How to write an inequality 
  2. Graphing equalities
  3. Cartesian coordinate system
  4. Graphing inequalities
  5. Solve and graph inequalities
  6. Inequalities with no solutions
  7. Inequalities with all real numbers as solutions
  8. Compound inequalities
  9. Graphing linear equations
  10. Graphing linear inequalities

Solving absolute value equations

  1. Definition of absolute value
  2. Properties of absolute value
  3. Solving absolute value equations
  4. Solving multi-step absolute value equations
  5. Solving absolute value inequalities
  6. Absolute value word problems
  7. Solve tough absolute value equations

Solving system of linear equations  

  1. System of linear equations
  2. Solutions of systems of linear equations with two variables
  3. Solve a system with two variables with infinitely many solutions
  4. Elimination method
  5. Substitution method
  6. Solve a system of linear equations by making a table

Multiplying binomials

  1. Multiplying binomials using FOIL
  2. Multiplying binomials geometrically
  3. Multiplying binomials using Pascal's triangle

Polynomials

  1. Definition of a polynomial
  2. Degree of a polynomial
  3. Properties for simplifying algebraic expressions
  4. Simplifying algebraic expressions
  5. Adding polynomials
  6. Subtracting polynomials
  7. Multiplying polynomials
  8. Factoring polynomials using the sum and difference of cubes
  9. Polynomial long division
  10. Divide polynomials with synthetic division
  11. Solve a polynomial equation by graphing

Factoring

  1. What is factoring
  2. Factoring integers
  3. Finding the greatest common factor
  4. Factoring algebraic expressions
  5. Factoring trinomials
  6. Factoring by grouping
  7. Factoring perfect square trinomials
  8. Factoring using the quadratic formula
  9. Factoring a trinomial by getting rid of the impostor
  10. Factoring a trinomial using the box method
  11. Factoring formulas
  12. Factoring strategy and tricks

Radicals

  1. Radical expressions
  2. Factoring radicals
  3. Simplifying radicals containing variables
  4. Addition and subtraction of radicals
  5. Conjugates
  6. Multiplying radical expressions
  7. Rationalizing the denominator of a radical expression
  8. Solve radical equations

Solve quadratic equations

  1. Zero product property
  2. Ways to solve quadratic equations
  3. Solve quadratic equation by factoring
  4. Solve quadratic equations by completing the square
  5. Quadratic formula
  6. Solve quadratic equations using the quadratic formula
  7. Quadratic equations word problems
  8. Quadratic equation solver
  9. Discriminant of a quadratic equation

Sequences and patterns

  1. Sequences and patterns
  2. Arithmetic sequence
  3. Arithmetic sequence word problems
  4. Sum of arithmetic sequences
  5. Geometric sequence
  6. Geometric sequence word problems
  7. Fibonacci sequence

Functions

  1.  How to identify a function
  2.  Vertical line test
  3.  Horizontal line test
  4.  Function rule
  5.  Find function values
  6.  Function notation
  7.  Linear parent function
  8.  Difference between discrete and continuous data 
  9.  Ways to represent domain and range
  10.  Domain of a function
  11.  Range of a function
  12.  Greatest integer function
  13.  Linear parent function 
  14.  Operations on functions
  15.  Composite function

Absolute value functions

  1.  Absolute value function
  2.  Graph an absolute value function
  3.  Graph of the parent absolute value function
  4.  The family of absolute value functions

Goal of these algebra lessons

The different branches of algebra are beginning algebra, advanced algebra, linear algebra, abstract algebra, and commutative algebra.

The goal of these beginning algebra lessons is to help you become very familiar with high school algebra taught in 8th or 9th grade by teaching you the following topics:

  • Learn to add, subtract, multiply, and divide integers
  • Learn the difference between rational numbers and irrational numbers
  • Learn to solve linear equations, absolute value equations, and system of linear equations
  • Learn to add, subtract, and multiply polynomials
  • Learn to factor and solve quadratic equations
  • Explore sequences and patterns
  • Find the probability of events
  • Explore some important algebra proofs
  • Learn to find the mean, mean, mode,  standard deviation, and others
  • And much more!

Do you need more help with a tutor? Many algebra tutors are available to help you right now with your homework or any question(s) you have. Check this site to chat with a tutor right now.



Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

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