Algebra Problem Week 5 Joby Weatherwax Introduction to Algebra (MAT 221) Stacie Williams Apr 14‚ 2013 Algebra Problem Week 5 Buried treasure. Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure‚ one must get to Castle Rock‚ walk x paces to the north‚ and then walk 2x + 4 paces to the east. If they share
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Name: _________________________ Score: ______ / ______ Algebra I Quarter 1 Exam Answer the questions below. Make sure to show your work when applicable. Solve the absolute value equation. Check your solutions. | 5x + 13| = –7 5x + 13 = -7 5x = -20 X = -4 Simplify the expression below. 6n2 - 5n2 + 7n2 6 – 5 + 7 = 8 =8n2 The total cost for 8 bracelets‚ including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet
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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 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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An Introduction to Linear Programming Steven J. Miller∗ March 31‚ 2007 Mathematics Department Brown University 151 Thayer Street Providence‚ RI 02912 Abstract We describe Linear Programming‚ an important generalization of Linear Algebra. Linear Programming is used to successfully model numerous real world situations‚ ranging from scheduling airline routes to shipping oil from refineries to cities to finding inexpensive diets capable of meeting the minimum daily requirements. In many of these problems
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reaching an easy solution for the area. The algebraic aspect comes into play when it comes to deriving the equation for the area. It is a simple yet important step in the whole proof‚ the icing on the cake‚ algebra and geometry playing equal parts. In a similar manner‚ algebraic formulas can also be derived from geometric diagrams. A good example would be the conics. One can’t imagine the conics without their respective geometric diagrams. Not only is geometry tied into algebra in that sense‚ but
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Boolean Algebra and Logic Gates F Hamer‚ M Lavelle & D McMullan The aim of this document is to provide a short‚ self assessment programme for students who wish to understand the basic techniques of logic gates. c 2005 Email: chamer‚ mlavelle‚ dmcmullan@plymouth.ac.uk Last Revision Date: August 31‚ 2006 Version 1.0 Table of Contents 1. 2. 3. 4. 5. Logic Gates (Introduction) Truth Tables Basic Rules of Boolean Algebra Boolean Algebra Final Quiz Solutions to Exercises Solutions to Quizzes
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1) Evaluate each algebraic expression‚ given that x= -1‚ y=3‚ z=2‚ a =1/2‚ b= -2/3. a) b) c) 2) Determine the degree of each of the following polynomials. a) b) c) 3) Remove the symbols of grouping and simplify the resulting expressions by combining like terms. a) (x + 3y – z) – (2y – x +3z) + (4z – 3x +2y) b) c) 3 – {2x – [1 –(x +y)] + [x – 2y]} 4) Add the algebraic expressions in each of the following groups. a) b) 5) Subtract the algebraic expressions
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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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Chapter 2 Linear Programming: Basic Concepts Solution to Solved Problems 2.S1 Back Savers Production Problem Back Savers is a company that produces backpacks primarily for students. They are considering offering some combination of two different models—the Collegiate and the Mini. Both are made out of the same rip-resistant nylon fabric. Back Savers has a long-term contract with a supplier of the nylon and receives a 5000 square-foot shipment of the material each week. Each Collegiate requires
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