Algebra Basics

Master essential algebra concepts through a comprehensive 5-hour video series covering middle school, high school, and community college level topics. Explore quadratic equations, complex solutions, parabolas, factoring techniques, slopes, linear equations, inequalities, functions and their inverses, exponential and logarithmic equations, graphing, geometric concepts, word problems, and systems of equations. Gain proficiency in solving various algebraic problems, from basic to advanced, with clear explanations and numerous examples to reinforce your understanding of fundamental algebraic principles.

Quadratic Equations vs. Equations in Quadratic Form.
find the complex solutions to this quadratic equation by completing the square.
an equation of a parabola in vertex form and standard form.
Vertex, x-int, y-int, of a sideways parabola.
Factoring x^2-64, x^3-64, and x^6-64.
Factoring 5-term polynomials by grouping.
How to factor completely (5 examples).
Undefined Slope.
Parallel and perpendicular lines and their slopes.
Find an equation of the line in slope-intercept form (given 2 points, parallel, perpendicular).
Solving Inequalities (plus graphs and interval notations).
Inequalities & Interval Notations (3 more examples).
Equation of a parabola with the vertex and y-intercept.
Parabola: convert to standard form from vertex form.
How to find the inverse of a function (linear function).
How to find the inverse of a cubic function.
Graphing y=-3^x.
Is this linear growth?.
Finding a formula for an exponential function from a table.
My Favorite Logarithm MCQ | bprp algebra.
How to convert exponential form to logarithmic form.
How to expand a logarithm | bprp algebra.
Solving an exponential equation without using logarithm.
which equation has NO real solutions?.
Solving an exponential equation by using logarithm.
Solving a logarithm equation (step by step).
Solving a logarithm equation (with an extraneous solution).
Solving 3^x=200, x^3=200, cube root of x = 5, and log base 3 of x = 5.
How to find the doubling time? Compound Interest Formula.
solving log equations with FAKE solutions (4 examples).
Graphing y=mx+b, y=#, x=# | bprp algebra.
Solving for y from z^2=x^2+y^2.
How to find the midpoint?.
Graph the equation of a circle from its standard form.
How to write an equation of a circle with the given center and radius.
How to graph a hyperbola in standard form.
Completing the square vs. quadratic formula for solving quadratic equations.
How to find the center and the radius of a circle by completing the square.
How to graph an ellipse | bprp algebra.
A common percentage discount word problem.
Percentage word problem (algebra basics).
Equation of a perpendicular line.
how to find the domain of a rational function.
Factor x^3-64 vs x^3-64x | bprp algebra.
How to divide rational expressions in 5 minutes | algebra basics.
Ti-84 Tutorial, solving 3 by 3 system of equations.
Ti-84 Tutorial, solving 2 by 2 system of equations.
Solving a 3 by 3 System of Equations (the most organized way).
Solve a system of equations by elimination (with decimals) | bprp algebra 2, intermediate algebra.
System of Equations Word Problem (Interest & Investment).
Rate, time, distance plane & boat algebra word problems (System of equations).