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# Algebra I: High School

Use these video lessons and quizzes to help you understand equations, formulas and types of numbers used in high school algebra. Learn to solve word problems, find an absolute value and graph parallel and perpendicular lines.

The lessons in the Algebra I course offer a supplement to help you better understand what you learn in the classroom. Algebra plays some major and minor roles in work, play and life in general. Knowing how to figure out a 30% off sale price, how to get the best tax return, or how to measure the stats of your favorite ball players all require the use of algebra skills. This course provides easy-to-follow video lessons that explain how to use algebra in clear and simple terms. Check out the fun, instructional videos in this algebra course and quiz yourself on the following topics:

• Basic arithmetic and word problems
• Decimals and fractions
• Real and imaginary numbers
• Exponents, graphing and geometry
• Absolute values and inequalities
• Ratios, percentages, statistics and probability
• Linear, polynomial, binomial and quadratic equations

Our algebra instructors not only understand the importance of algebra but also realize that it's not always easy to follow or interesting to learn about. The video lessons break down chapters into bite-sized and engaging components, making learning fun and appealing. After each short video lesson, you can take the corresponding quiz to see how well you understand the information.

## Course Topics

Course Chapters Objective
Basic Arithmetic These lessons review addition, subtraction, multiplication and division as well as covering associative property, greatest common factors, least common multiples, the use of parentheses in math, the order of operations and algebra vocabulary terms.
Solving Math Word ProblemsLearn how to break down math story problems into smaller steps, personalizing problems to make them easier to understand, and restating problems using words or images.
Decimals and FractionsMaster adding, subtracting, multiplying and dividing decimals and fractions; convert decimals to fractions; change improper fractions to mixed numbers; and raise and reduce fractions with these video lessons.
Percent NotationDiscover how to convert percent, decimal and fractional notations and test your skills.
Real NumbersUse these lessons to help you understand the different types of numbers, how to graph rational numbers, and how to find the absolute value of a real number.
Exponents and Exponential ExpressionThis chapter helps you comprehend exponents, scientific notations, the power of zero, and how to multiply and divide exponential expressions.
Radical ExpressionsThe lessons in this chapter cover square roots of quotients, radicands, radical equations, computing problems using radical notations, and multiplying radical expressions with two or more terms.
Algebraic Expressions and EquationsLearn how to write arithmetic expressions, evaluate and simplify math formulas, write equations with inequalities and other common algebraic equations, solve one-step equations, use the addition and multiplication principles, and solve single-step and multi-step equations in word problems.
Properties of FunctionsThis chapter discusses the basics and key terms of functions as well as how to compute functions, graph a plane, compose functions and work with inverse functions.
Matrices and Absolute ValueThese lessons teach you what a matrix is and how to take a determinant of a matrix. Other lessons discuss evaluating, solving, and graphing absolute value equations.
Working With InequalitiesExamples and practice problems in this chapter explain how to graph 1- and 2-variable inequalities, set notations, compound inequalities, and systems of inequalities as well as how to solve and graph absolute value inequalities.
Properties of ExponentsDiscover the five main exponent properties in this chapter. Also learn how to define a zero and negative exponent and how to simplify expressions with rational exponents.
Complex and Imaginary NumbersThis chapter teaches you what an imaginary number is as well as how to add, subtract, multiply and divide complex numbers. Learn to graph a complex number on the complex plane and solve a quadratics problem with a complex number solution.
Algebraic DistributionIn this chapter, you can learn why we distribute in algebra and the difference between distributing first and adding first. Review distributing signs, how to distribute algebraic expressions with numbers and variables, how to change negative exponents to fractions, how to distribute more than one term and how to work with fractional powers.
Linear EquationsThis chapter defines linear equations and covers distributive property application to linear equations. You can also learn about intercepts, standard form, graphing an undefined and zero slope, parallel and perpendicular lines and how to write and use a system of linear equations.
FactoringLearn why we factor in this chapter as well as how to find the prime factorization of a number and use it to find least common multiples. Other lessons cover using fraction notation, factoring out variables, combining numbers and variables when factoring, transforming factors into a division problem and factoring by grouping.
Graphing and Factoring Quadratic EquationsThese lessons explore tables and graphs, scatterplots, line graphs, parabola, binomials and trinomials, squares, and solving quadratic equations by factoring.
Properties of Polynomial FunctionsThis chapter shows you how to graph cubics, quartics and quintics; how to add, subtract, multiply and divide polynomials; and how to use synthetic division with polynomials.
Rational ExpressionsLearn and practice adding, subtracting, multiplying and dividing rational expressions and solving rational equations.
Cubic EquationsThis chapter teaches you how to solve perfectly and imperfectly cubed equations, how to use the greatest common factor, grouping, and integers in cubic equations, how to change radical equations into linear or quadratic equations, how to square both sides of an equation twice, and how to use synthetic division.
Quadratic EquationsThese lessons teach you how to square up quadratics, solve quadratics by assigning the greatest common factor and multiplication property of zero, use the quadratic formula to solve equations, and solve quadratic inequalities using two binomials.
Measurement and GeometryThis chapter discusses the metric system and standard units of measure, how to perform basic operations and convert measurements, and how to read and interpret scales and meters. Lessons also cover points, types of lines and angles, properties of shapes, and how to find the perimeter, area, circumference and volume of a shape.
Calculations, Ratios, Percent & ProportionsLessons define and provide examples of problems that include money and time, proportion and percent, compound interest, taxes and discounts, combinations and permutations, and distance formulas.
Data, Statistics, and ProbabilityLearn the probability of independent and dependent events, how to calculate for a mean, median, mode and range, and organization of data with tables and schedules, as well as bar graphs and pie charts.
Well-Known EquationsThis chapter goes over some well-known theories and equations, such as the theory of relativity, Pythagorean theorem, the value of e, Isaac Newton's formula for the force of gravity, Fermat's Last Theorem, the Absolute-Value Inequality, and the quadratic formula.

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###### Course Chapters

Take the practice final exam.

## Education Portal Instructors

Education Portal's 53 instructors bring a diverse array of experience and expertise to each course. From teaching philosophy in Athens, Greece, to exploring the mystery of genetics, each instructor is uniquely qualified to bring students the best online learning experience possible. Meet them now!