Algebra lessons
Find here a great variety of algebra lessons that will help you learn algebra in no time.
Prerequisites
- History of negative numbers
- Introduction to integers
- Comparing integers
- Adding integers
- Subtracting integers
- Modeling the addition/subtraction of integers
- Multiplying integers
- Modeling the multiplication of integers
- Dividing integers
- Why multiply before adding
- Order of operations
- Variables in algebra
- Writing an algebraic expression
- Evaluate an algebraic expression
- How to write an inequality
- Linear equations
- Important academic words in math
- Math problem solving strategies
- Common mistakes in math
Solving one, two, or multi-step equations
Exponents, scientific notation, square root, and rational numbers
Graphing equalities, inequalities, linear equations, and linear inequalities
Solving absolute value equations
Solving system of linear equations
Polynomials
- Definition of a polynomial
- Degree of a polynomial
- Properties for simplifying algebraic expressions
- Simplifying algebraic expressions
- Adding polynomials
- Subtracting polynomials
- Multiplying polynomials
- Factoring polynomials using the sum and difference of cubes
- Polynomial long division
- Divide polynomials with synthetic division
- Solve a polynomial equation by graphing
Factoring
- What is factoring
- Factoring integers
- Finding the greatest common factor
- Multiplying binomials using FOIL
- Multiplying binomials geometrically
- Factoring algebraic expressions
- Factoring trinomials
- Factoring by grouping
- Factoring perfect square trinomials
- Factoring using the quadratic formula
- Factoring a trinomial by getting rid of the impostor
- Factoring a trinomial using the box method
- Factoring formulas
- Factoring strategy and tricks
Radicals
Solve quadratic equations
- Zero product property
- Ways to solve quadratic equations
- Solve quadratic equation by factoring
- Solve quadratic equations by completing the square
- Quadratic formula
- Solve quadratic equations using the quadratic formula
- Quadratic equations word problems
- Quadratic equation solver
- Discriminant of a quadratic equation
Sequences and patterns
Functions
- How to identify a function
- Vertical line test
- Horizontal line test
- Function rule
- Find function values
- Function notation
- Linear parent function
- Difference between discrete and continuous data
- Ways to represent domain and range
- Domain of a function
- Range of a function
- Greatest integer function
- Linear parent function
- Operations on functions
- Composite function
Absolute value functions
Algebra word problems
Math problem solving strategies
Tough order of operations problems
Useful algebra calculators and worksheets
Order of operations calculator
System of linear equations solver
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
- Learn to solve some simple and complicated algebra word problems
- 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.
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