# High School Algebra: Solving Equations and Parabola

## Learn about how to solve linear equations and quadratic equations as well as parabolas in this free online course.

Publisher: ADU## Description

Solving Equations and Parabola is a free online course from Alison that provides learners with a practical guide in solving linear equations, quadratic equations, and parabolas. Are the rules of solving equations difficulty for you or do you wish to stand out in the techniques of parabolas? Then this course is for you! In this course, the methods, illustration in addition to the rules of solving equations using addition and subtraction will be discussed in practical terms. Learn about the properties to remember and procedures for solving equations using multiplication and division. Learners will be taught the applications of solving an equation and how to solve for a specific variable in a formula. Learn about solving equations by combining terms, solving equations containing parentheses, and graphing a solution set on the number line. Study the cartesian coordinate system and quadrants together with the procedures of graphing linear equations. The slope-intercept form of a line, the point-slope form of a line, and the two-point form of a line will also be covered in this course. Learn about the methods of solving systems of linear equations, evaluation of second-order determinants as well as potential complications. Study the methods of solving systems of linear equations in three variables.

Furthermore, this course demonstrates the procedures for graphing linear inequalities and solving systems of linear inequalities. You will learn about number line analysis in addition to the principles for solving quadratic inequality. The general form of a quadratic equation and the various ways of solving quadratic equations by factoring will be explained in this course. Study the concept of parabolas and the turning point or vertex of quadratic equations. Learn about procedures for solving a quadratic equation by graphing and the concept of double roots. Study the steps used in solving quadratic equations by completing the square and the application of the quadratic formula. The various nature of roots along with the sum and product of the roots will be explained in this course. Taking this course gives you insight into the modern methods used in finding a quadratic equation whose roots are known. You will learn procedures for solving quadratic-linear systems graphically and algebraically. You will be taught how to solve quadratic inequalities using methods of algebras and set theory. Learn how to solve quadratic inequalities using the method of number line analysis.

Lastly, the definition of a parabola, graphing of a parabola and the parabola with vertex at the origin will be covered in this course. If you seek to gain a proper understanding of the numerous applications of the parabola, then this course is for you. Moreso, topics such as the general form of the equation of a parabola and methods of writing the equation of a parabola will be analyzed extensively. You will learn about the definition, standard equation, graphing, and general equation of a circle in the simplest way possible. You will study the various real-world applications of the circle and how to write the equation of a circle. Learn about variation, simplification of rational expression, and complex fractions. Finally, the procedure involved in the operations of rational expressions will also be covered. This course will be of great benefit to learners, students, researchers, enthusiastic Mathematicians, and all who have an interest in Algebra. Register for this course today and take your numeracy skills to the next level!

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