Algebra lessons

Prerequisites

  1. Introduction to integers
  2. Comparing integers
  3. Adding integers
  4. subtracting integers
  5. Multiplying integers
  6. Modeling the multiplication of integers
  7. Dividing integers
  8. Order of operations
  9. Variables in algebra
  10. Writing an algebraic expression
  11. How to write an inequality 
  12. Linear equations
  13. Important academic words in math
  14. Interval notation

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.  Function notation
  6.  Difference between discrete and continuous data 
  7.  Ways to represent domain and range
  8.  Domain of a function
  9.  Range of a function
  10.  Greatest integer function 
  11.  Operations on functions
  12.  Composite function
  13.  Graph of a quadratic function 

Topics in probability and statistics

Measures of central tendency

Probability

Solve algebra problems correctly

Math problem solving strategies

Common mistakes in math

Interesting math problems

Algebra word problems


Useful calculators

Quadratic equation calculator

Linear equations calculator

Order of operations calculator

Factoring calculator

System of linear equations solver

Matrix calculator

Scientific notation calculator

 Goal :

  • 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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