Algebra II
The Algebra II category of math lessons covers more difficult concepts in Algebra starting with solving systems of linear equations. Lessons follow on relations & functions, domain, range, functional notation & inverses, linear absolute value inequalities, the quadratic function, solving quadratic equations by factoring & the quadratic formula, the sum and product of roots, absolute value functions & solving absolute value equations & inequalities, solving radical equations, polynomial functions, synthetic division & finding zeros, solving 3rd & 4th degree polynomial equations and finish with transformations of functions.
Solving Systems of Linear Equations
The focus of this lesson is the solving of systems of linear (first degree) equations. The equations in a system are studied together and the methods, both graphically & algebraically are explored.
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Relations & Functions (Domain Range Functional Notation & Invers
This lesson focuses on finding the domain and range of relations. It moves into the definition of a function, functional notation and finding the inverse of functions.
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The Quadratic Function (Graphs of Parabolas & Completing the Squ
This lesson studies the quadratic function. It begins with drawing graphs of parabolas and moves on to the main focus, completing the square.
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Solving Quadratic Equations by Factoring
This lesson focuses on the solution of a quadratic (2nd degree) equation by using different types of factoring.
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Solving Quadratic Equations by using the Quadratic Formula
This lesson focuses on the solution of a quadratic (2nd degree) by using the quadratic formula.
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The Sum & Product of Roots of a Quadratic Equation The Discrimin
This lesson introduces and uses the formulas for the sum & product of the roots of a quadratic equation. The next part of the lesson deals with the discriminant of a quadratic equation and how the discriminant is used to determine the nature of the roots
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The Absolute Value Function & Solving Linear Absolute Value Equa
This lesson begins with the definition of absolute value and then introduces the absolute value function. Graphs are shown of the absolute value of a linear function as well as the absolute value of a quadratic function. Linear equations are solved algebr
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Solving Radical Equations
This lesson teaches how to solve radical equations that result in both linear and quadratic equations. Radical equations with one radical as well as two radicals are studied.
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Polynomial Functions
This lesson studies 3rd and 4th degree polynomial functions. It begins with a review of long division of a polynomial by a binomial and then introduces synthetic division. The Remainder Theorem is covered as well as evaluating polynomials. This leads to t
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Solving 3rd & 4th Degree Polynomial Equations & Graphing Related
This lesson solves 3rd and 4th degree polynomial equations by using common factor, difference of squares, trinomials, the quadratic formula and the factor theorem. The connection is made between the real roots of an equation and the x intercepts or zeros
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