Algebra lessons

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

Solving one or two steps equations

  1. Solving equations using addition 
  2. Solving equations using subtraction 
  3. Solving multiplication equations 
  4. Solving two-step equations
  5. 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. Estimate the square root of a number

Graphing equalities, inequalities, linear equations, and linear inequalities

  1. Graphing equalities
  2. Cartesian coordinate system
  3. Graphing inequalities
  4. Compound inequalities
  5. Graphing linear equations
  6. Graphing linear inequalities


Solving absolute value equations

  1. Definition of absolute value
  2. Solving absolute value equations
  3. Solving absolute value inequalities
  4. Absolute value word problems
  5. Solve tough absolute value equations

Solving system of linear equations  

  1. System of linear equations
  2. Solutions of systems of linear equations
  3. Elimination method
  4. Substitution method

Polynomials

  1. Definition of a polynomial
  2. Degree of a polynomial
  3. Simplifying algebraic expressions
  4. Adding polynomials
  5. Subtracting polynomials
  6. Multiplying polynomials
  7. Divide polynomials with synthetic division

Factoring

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

Radicals

  1. Radical expressions
  2. Factoring radicals
  3. Simplifying radicals containing variables
  4. Adding and subtracting 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. Solve quadratic equations using the quadratic formula
  6. Quadratic equations word problems
  7. Quadratic equation solver

Matrices

  1. Introduction to matrices
  2. Add and subtract matrices
  3. Multiply matrices

Sequences and patterns

  1. Sequences and patterns
  2. Arithmetic sequence
  3. Sum of arithmetic sequences
  4. Geometric sequence
  5. 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.  Operations on functions
  14.  Composite function
  15.  Graph of a quadratic function 

Goal of these algebra lessons

The goal of these algebra lessons is help you become very familiar with 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
  • Learn to add, subtract, and multiply matrices
  • 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!

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