Regents Practice Test 1 Integrated Algebra Part I: Multiple Choice 1. Expressed in simplest form‚ [1] 8a2 [2] 3a2 12a 3c is equivalent to: 4ac [3] 3a3 [4] 3a3c 6. The accompanying graph shows the high temperatures in Elmira‚ New York for a 5-day period in January. 2. Which trinomial is equivalent to (3x - 2)(x + 4)? [1] 3x2 + 10x + 8 [2] 3x2 - 10x - 8 [3] 3x2 + 10x - 8 [4] 3x2 - 10x + 8 Which statement describes the data? [1] median = mode [3] mean < mode [2] median = mean [4] mean
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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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The invention of algebra from the ancient world has produced many opportunities for the modern world we live in today. According to the Webster’s Dictionary‚ “algebra by definition is the part of mathematics in which letters and other symbols are used to represent numbers and quantities in formulae and equations.” First and for most‚ algebra is divided into two different groups‚ the first group being “classical algebra”‚ which is solving equations and finding the unknown variable. The second group
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Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
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(I made this when I was a freshman. I’m now a Junior.) Why do we need to learn Algebra? What’s the point of learning Algebra in the first place? After all‚ all of the math leading up to Algebra that we learned growing up such as addition‚ multiplication‚ decimals‚ fractions‚ et cetera that seems to have a concrete meaning? This concept all deals with numbers‚ in some way or another‚ and because of this we can apply it to our daily lives like calculating‚ and in our chosen career. In short
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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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LINEAR ALGEBRA Paul Dawkins Linear Algebra Table of Contents Preface............................................................................................................................................. ii Outline............................................................................................................................................ iii Systems of Equations and Matrices.............................................................................................
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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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Various derivations of the word "algebra‚" which is of Arabian origin‚ have been given by different writers. The first mention of the word is to be found in the title of a work by Mahommed ben Musa al-Khwarizmi (Hovarezmi)‚ who flourished about the beginning of the 9th century. The full title is ilm al-jebr wa’l-muqabala‚ which contains the ideas of restitution and comparison‚ or opposition and comparison‚ or resolution and equation‚ jebr being derived from the verb jabara‚ to reunite‚ and muqabala
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The Father of Algebra In the source‚ Shawn Overbay writes a biography on The Father of Algebra‚ Al-Khwarizmi. Overbay shows and explains the equations that Al-Khwarizmi invented and how they were used. In the source‚ the author states “Al-Khwarizmi wrote numerous books that played important roles in arithmetic and algebra” (Overbay). Not only was The Father of Algebra a mathematician‚ he was also an inventor‚ an Astronomer‚ and a Scholar. The visual source is a page from Al-Khwarizmi’s Kitab
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