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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