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. Linear equations
12. Important academic words in math
13. 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

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.  Function rule
4.  Difference between discrete and continuous data 
5.  Domain of a function
6.  Range of a function
7.  Greatest integer function 
8.  Operations on functions
9.  Composite function
10.  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

 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

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