Online Course in Algebra I  
   
Here are the samples of lessons from our course in Algebra I. These samples will play only the instruction for any given section. The preview will not have access to other premium features such as interactive question-answers, quizzes and your personal progress tracker.
Algebra I
Lesson 1: Inverse operations and Absolute value properties
Getting started-Inverse operations
Identify additive Inverse
Identify multiplicative inverse
Getting Started - Absolute value properties
Calculating absolute value
Splitting an absolute value equation into an two separate equations
Lesson 2: Equation balancing
Adding-subtracting same number on both side of an equation
Distributing multiplication over all terms
Multiplying-dividing same number on both side of an equation
Solving inequalities
Lesson 3: Exponent and Root Rules
Getting started - Exponent and Root Rules
Multiplying and dividing two numbers with same base and different exponents
Multiplying and dividing different bases with the same exponent
Calculating and working with zero exponents
Calculating and working with negative exponents
Calculate the root
Convert between radicals and fractional exponents
Lesson 4: Determining equation from a line
Calculating equation of a line from point and slope
Calculating equation of a line from two points
Calculating equation of a line from slope and intercept
Calculating equation of a line from point and intercept
Determine whether a point lies on a line
Lesson 5: Graphing a linear equation and linear inequalities
Getting started - Graphing a linear equation
Rearranging equation into standard form (y=mx+b)
Determining the slope from equation of a line (y=mx+b)
Determining the y-intercept from equation of a line (y=mx+b)
Getting Started - Graph the solution set of a linear inequality
Graphing equations and inequalities
Lesson 6: Systems of linear equations
Getting Started - Systems of linear equations
Finding intersection points graphically
Determine if a systems of equations has no solution
Determine if a system of equations has infinite solutions
Lesson 7: Parallel and perpendicular lines
Getting Started - Parallel and perpendicular lines
Determine if two lines are parallel to each other
Determine if two lines are perpendicular to each other
Find equation of a line parallel to the line with given equation
Find equation of a line perpendicular to the line with given equation
Lesson 8: Multiplying monomials and polynomials
Getting started-Multiplying monomials and polynomials
Distributing multiplication of a monomial with a 2nd degree polynomial
Distributing Multiplication of two binomials - using foil method
Distributing multiplication of two 2nd degree polynomials
Lesson 9: Factoring binomials and polynomials
Getting started - Factoring binomials and polynomials
Factoring an expression of exponents with the same base
Factoring a quadratic into binomials
Factoring a quadratic using the perfect square method
Factoring a 3rd degree polynomial
Lesson 10: Ratio of monomials and polynomials
Getting started - Ratio of monomials and polynomials
Working with ratios
Working with polynomials
Lesson 11: Solving polynomial equations
Solve 2nd order polynomial by factoring
Solving with the quadratic formula
Solution and discriminant in the quadratic formula
Factoring by grouping
Lesson 12: Word problems
Getting started
Percent mixture problems
Work related problems
Other common types
Lesson 13: Functions
Getting started - Function
Types of functions
One to many relationship
Finding the domain of function
Finding the domain and range of the functions
Identify if the graph is a function or not
Finding the domain and range of an equation
Determine domain and range from a finite set of ordered pairs
Lesson 14: Graphs of quadratic functions
Getting started - Graphs of quadratic functions
A comparison of graphical solution and factoring derived solution
Determine number of solutions of a quadratic from its equation
Lesson 15: Logical argument - Algebra I
Inductive vs. Deductive reasoning
Hypothesis and conclusions of an argument
Find a counter-example or otherwise disprove a conjecture
Lesson 16: Judging validity of results
Identify mistakes in order of operations
Determine whether the statement is true sometimes, always, or never
 
       
     
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