Algebra

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Math Review of Applications of Radical Expressions with Right Triangles
Math Review of Applications of Radical Expressions with Right Triangles 150 150 Deborah

Overview The relationship of the length of the legs of the right triangle to the hypotenuse is expressed by one of the most famous equations in geometry, the Pythagorean Theorem.…

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Math Review of Leibniz, Newton, and the Development of Calculus
Math Review of Leibniz, Newton, and the Development of Calculus 150 150 Deborah

Overview One of the biggest controversies in science in the early 18th century was around the development of a new mathematical tool called calculus. In Europe, the mathematician, philosopher, and scientist…

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The AC Method of Factoring Polynomials when A Is Not Equal to 1
The AC Method of Factoring Polynomials when A Is Not Equal to 1 150 150 Deborah

Overview The AC-method, also known as factoring by grouping, is often used to factor polynomials when the a coefficient is equal to 1. It can also be used when the…

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Math Introduction to Integrals
Math Introduction to Integrals 150 150 Deborah

Overview Finding integrals, or integration, is the opposite of finding the derivative in calculus. The concept is closely connected with functions, and was independently discussed by both Newton and Leibniz…

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Math Review of Real, Complex, and Hyperreal Numbers
Math Review of Real, Complex, and Hyperreal Numbers 150 150 Deborah

Overview Real numbers are the rational and irrational numbers that people deal with in everyday life. Hyperreal numbers include numbers that are infinitely large, infinitely small, or infinitesimal, along with…

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Math Review of Quotients Involving Radical Expressions
Math Review of Quotients Involving Radical Expressions 150 150 Deborah

Overview In order to divide rational expressions accurately, special rules for radical expressions can be followed. Some of those rules include the quotient rule, rules for finding the square roots…

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Math Review of Special Factoring Formulas and a General Review of Factoring
Math Review of Special Factoring Formulas and a General Review of Factoring 150 150 Deborah

Overview Some special factoring formulas include the difference of two squares, the sum of two cubes, and the difference of two cubes. If there are three terms or more in…

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Math Review of Graphing Parallel and Perpendicular Lines
Math Review of Graphing Parallel and Perpendicular Lines 150 150 Deborah

Overview If two linear equations are solved, and their solution is graphed on a Cartesian coordinate plane, there are three possibilities. The lines may be the same, with all solutions…

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Math Review of Operations with Sets
Math Review of Operations with Sets 150 150 Deborah

Overview Operations with sets include the union of sets, the intersection of sets, and complements of sets. These operations can be applied to solve survey problems using sets. Special Types…

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Math Review of Multiplication of Matrices
Math Review of Multiplication of Matrices 150 150 Deborah

Overview: The dimensions of a matrix are important to its definition.  In order for the multiplication of two matrices to be meaningful, each matrix must have certain dimensions.  Multiplication of…

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