Tatenda Shumba Shane Johnson Per 4 Is algebra necessary? Algebra is important to learn. But it is not necessary. Life existed before algebra was invented and could still continue without it. There are many applications of Algebra in real life situations. It is important to learn the basics‚ especially when it comes to money and finance. Many adults use the basics but not anything beyond‚ like if you were to go around and ask what is the quadratic equation not most adults would get it
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INTRODUCTION Abstract Algebra is more rightly considered meta-mathematics than mathematics proper‚ because it can be used to describe the structures that exist within mathematics from a general standpoint. The basic notions of Groups‚ Rings‚ Fields‚ and Algebraic Extensions provide a framework from which to examine almost all of mathematics. These notions serve as unifying concepts that interlace such seemingly disparate subjects as geometry‚ analysis‚ number theory‚ topology and even applied
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Oklahoma Algebra II End-of-Instruction Test Preparation and Practice Teacher’s Guide Help for the Oklahoma ACE Algebra II Test i-viii_OK_A2_TE_FM.indd i 7/11/09 12:38:29 AM Copyright © by Houghton Mifflin Harcourt Publishing Company. All rights reserved. No part of this work may be reproduced or transmitted in any form or by any means‚ electronic or mechanical‚ including photocopying or recording‚ or by any information storage or retrieval system‚ without the prior written permission of
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Name: __________________________________________ Algebra Keystone Exam Review 1) Simplify the expression: √ √ √ √ A) √ B) √ C) √ D) A right triangle has one leg that is twice the length of the other leg. If the hypotenuse is √ ‚ find the length of the longer leg. 2) A) 8 B) 16 C) 4 D) 32 3) Which statement has the largest value of x? A) √ B) √ C) √ √ D) √ √ 4) Simplify: ( √ ) A) B) C)
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Chapter’s 1 & 2 Test Review 1) Write the expression in standard form a+bi (2-2i)(9+i) (-7+5i) - (6-8i) (3+i)^2 2) Solve the following equation by factoring x^2 - 6x = 0 3) A bank loaned $17‚000‚ part of it at the rate of 8% per year and the rest at 18% per year. If the interest received in one year totaled at $2‚000‚ how much was loaned at 8%? 4) Find the real solutions of the equation √2x-7 = 0 5) Solve the inequality 5 < 7 - ½x < 9 6) Decide whether the following
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Quadratic equation In elementary algebra‚ a quadratic equation (from the Latin quadratus for "square") is any equation having the form where x represents an unknown‚ and a‚ b‚ and c represent known numbers such that a is not equal to 0. If a = 0‚ then the equation is linear‚ not quadratic. The numbers a‚ b‚ and c are the coefficients of the equation‚ and may be distinguished by calling them‚ the quadratic coefficient‚ the linear coefficient and the constant or free
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The History of Algebra The history of algebra has been around for several decades‚ this method of mathematics has been used during the beginning of time. The development of algebraic notation progressed through out three stages: the rhetorical stage‚ the syncopated stage‚ and the symbolic stage with which we are use to using in our daily usage of algebra. In ancient civilization math was used to help leaders to strategically form how their troops should be lined up for battle and help decide
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Quadratic Equations ax2 + bx + c = 0 Examples of Quadratic equations 1. x2 +2x – 8 = 0 2. x2 – 10x + 25 = 0 3. 3x2 + x - 2 = 0 Quadratic Formula If [pic] a x2 + b x + c = 0‚ then [pic] Finding the zeros of the quadratic functions - The zeros of a function are the input values which result in an output value of zero. One way of solving quadratic equations is using factoring Examples are the following: 1) x2 + 5x + 6 = 0 Set this equal to zero:
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HISTORY OF ALGEBRA M AT H 1 WHAT IS ALGEBRA? • Denotes various kinds of mathematical ideas and techniques • more or less directly associated with formal manipulation of abstract symbols and/or with finding the solutions of an equation. HISTORICAL OBJECTIVES 1. attempts to deal with problems devoted to finding the values of one or more unknown quantities. 2. the evolution of the notion of number 3. the gradual refinement of a symbolic language THE SEARCH OF “EQUATION” • Egyptian Mathematics
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Algebra Algebra was invented by the Muslim mathematician Al-Khwarizmi in the book he wrote in 820. Algebra is the Arabic word (aljabr) for "equation"‚ and the word "algorithm" comes from the author’s name‚ Al-Khwarizmi. He is rightly known as "the father of Algebra The roots of algebra can be traced to the ancient Babylonians‚ who developed an advanced arithmetical system with which they were able to do calculations in analgorithmic fashion. The Babylonians developed formulas to calculate solutions
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