# Mastering Algebra

Learn through carefully explained and annotated examples

Algebra is fundamental to the study of mathematics. This course offers a comprehensive introduction to the topics of Algebra I. Please be sure to read through the course goals and the course curriculum in order to decide whether this is the right course for you. Here are the benefits of enrolling in this course:

What you’ll learn

• describe positive and negative numbers.
• use signed numbers to represent various situations.
• compare numbers and draw them on a number line.
• Understand and use exponents.
• Translate common English expressions into mathematical form.
• Estimate the results of mathematical operations to check for reasonableness.
• Form percents, decimals and find percentages.
• Understand how to find percents of increase and decrease.
• Understand why variables are needed, and how to introduce and define them.
• Understand how to simplify mathematical expressions.
• Understand how to create and simplify variable expressions.
• Learn how to use variable expressions in geometry.
• Learn how to solve equations of the form ax=b.
• Learn how to apply and solve word problems with equations of the form ax=b.
• Learn how to solve and apply equations of the form a+x=b.
• Learn how to solve and apply equations of the form ax+b=c.
• Learn how to solve and apply proportions.
• Learn how to solving equations with variables on both sides.
• Learn how to apply equations with variables on both sides.
• Learn how to apply equations to triangles.
• Learn how to add/subtract fractions and find least common multiples of small numbers.
• Learn how to find least common multiples of larger numbers.
• Learn how to solve equations with fractions.
• Learn how to solve literal equations.
• Learn how to solve absolute value equations.
• Learn about equations without solutions and with infinitely many solutions.
• Learn how to solve simple interest and mixture problems.
• Learn how to find parallel and perpendicular lines.
• Learn how to graph lines using x/y intercepts and slope/y intercept.
• Learn how to solve systems of equations using graphing, elimination and substitution.
• Learn how apply systems of equations to mixture problems.
• Learn how to apply systems of equations to wind/current motion problems.
• Learn how to solve a variety of coin problems.
• Learn how to solve linear inequalities.
• Learn how to expression solutions to inequalities using interval notation.
• Learn how to solve and/or/absolute value inequalities.
• Learn how to apply inequalities to a variety of situations.
• Learn how to solve common work rate problems.
• Learn how to use variable substitution to make solving equations easier.
• Learn how to graph inequalities in two variables.
• Learn how to factor expressions using the greatest common factor.
• Learn how to factor expressions using grouping.
• Factor trinomials with leading coefficient 1, leading coefficient different from 1.
• Factor expressions using the difference of squares pattern.
• Learn how to factor higher degree expressions.
• Multiply binomials with FOIL.
• Solve quadratic equations with only two terms on the left side.
• Simplify square roots.
• Solve a variety of equations with square roots.
• Solve quadratic equations with completing the square.

Course Content

• Get the needed software –> 1 lecture • 3min.
• Operating on numbers only –> 12 lectures • 1hr 40min.
• Variable expressions –> 7 lectures • 1hr 5min.
• Solving linear equations –> 12 lectures • 2hr 18min.
• Solving linear equations with fractions and decimals –> 8 lectures • 1hr 48min.
• Additional applications of linear equations –> 9 lectures • 1hr 36min.
• Graphing –> 9 lectures • 1hr 39min.
• System of equations –> 6 lectures • 1hr 6min.
• Applications of systems of equations –> 6 lectures • 1hr 28min.
• Linear inequalities –> 11 lectures • 2hr 14min.
• Factoring –> 11 lectures • 1hr 50min.
• Solving quadratic equations –> 13 lectures • 2hr 35min.

Requirements

Algebra is fundamental to the study of mathematics. This course offers a comprehensive introduction to the topics of Algebra I. Please be sure to read through the course goals and the course curriculum in order to decide whether this is the right course for you. Here are the benefits of enrolling in this course:

1. Get 19 hours of HD content

2. Get PDF’s of the content

3. Get clearly explained and annotated examples illustrating a wide variety of topics

4. Get 310  exercises with detailed, step by step solutions

5. Some of the exercises are routine, and some are very challenging

Thanks for reading, and if you’re ready to begin learning algebra, I will see you inside!

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