Algebra lessons

Prerequisites

1. Introduction to integers
2. Comparing integers
3. Adding integers
4. subtracting integers
5. Multiplying integers
6. Dividing integers
7. Order of operations
8. Variables in algebra
9. Writing an algebraic expression 
10. Linear equations
11. Important academic words in math

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
5. Factoring algebraic expressions
6. Factoring trinomials
7. Factoring by grouping
8. Factoring perfect square trinomials
9. Factoring using the quadratic formula
10. Factoring formulas
11. 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. Ways to solve quadratic equations
2. Solve quadratic equation by factoring
3. Solve quadratic equations by completing the square
4. Solve quadratic equations using the quadratic formula
5. 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.  Operations on functions
8.  Composite 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

Interesting and challenging algebra topics!

Tough and tricky algebra word problems

 Algebra proofs

 Interesting math problems

 Modeling integers with chips

 Examples of inductive reasoning

 Consecutive integers

 History of negative numbers

 Tough order of operations problems

 Proof that square of five is irrational

 Square root algorithm

Useful calculators

Linear equations calculator

Order of operations calculator

Factoring calculator

System of linear equations solver

Matrix calculator

Scientific notation calculator

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