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Review of Algebra 2 s REVIEW OF ALGEBRA Review of Algebra q q q q q q q q q q q q q q q Here we review the basic rules and procedures of algebra that you need to know in order to be successful in calculus. Arithmetic Operations The real numbers have the following properties: a b b a ab a b c a b ab c ab ac In particular, putting a b and so b c b c ba c (Commutative Law) (Associative Law) (Distributive law) ab c a bc 1 in the...
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Open DocumentElluminate Live! - LIVE LESSON 7.09 Jan 9, 2013 7:48:40 PM Welcome to Lesson 7.09 Page 1. Elluminate Live! - LIVE LESSON 7.09 Jan 9, 2013 7:48:40 PM 7.09 Room 1 - Attendance Page 2. Elluminate Live! - LIVE LESSON 7.09 Jan 9, 2013 7:48:40 PM 7.09 Room 1 - 7.09 Polynomials Activity Page 3. Elluminate Live! - LIVE LESSON 7.09 Jan 9, 2013 7:48:40 PM 7.09 Room 1 - Common Core Standards Covered in this Lesson: Page 4. Elluminate Live! - LIVE LESSON 7...
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Open DocumentSummer 2010-3 CLASS NOTES CHAPTER 1 Section 1.1: Linear Equations Learning Objectives: 1. Solve a linear equation 2. Solve equations that lead to linear equations 3. Solve applied problems involving linear equations Examples: 1. [pic] [pic] 3. A total of $51,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $3,000, how much will be invested in each type...
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Open DocumentThe 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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Open DocumentQuadratic 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...
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Open DocumentAlgebra in Business and Science Algebra is used repeatedly in business and science for professions ranging from accountants to astronomers and physicists. The fundamental algebraic equation in accounting is assets = liabilities + capital. Accountants use this equation to balance the books. They also use algebra to calculate journal entries for interest payments and depreciation (Moore, n.d.). To analyze and work with numbers, accountants also need to understand positive and negative numbers...
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Open Documentf (cx) : vertical scaling by c ; horizontal scaling by 1 c (x, y) −→ (x, cy) ; (x, y) −→ ( 1 x, y) c Reflections: y = −f (x) : reflection about x-axis ; (x, y) −→ (x, −y) y = f (−x) : reflection about y-axis ; (x, y) −→ (−x, y) Algebra on Functions Operations on functions: Given f (x) and g(x). (f + g)(x) = f (x) + g(x) (f − g)(x) = f (x) − g(x) (f · g)(x) = f (x) · g(x) f (x) f (x) = where g(x) = 0 g g(x) Domain: dom(f + g, f − g, f · g) = dom(f ) and dom(g) f dom ...
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Open DocumentEnglish November 12, 2012 Should Algebra 2 be Required to Graduate High School? Every day, millions of high school and college students have to struggle through algebra in order to graduate. Having the ability to do mathematical equations will always be an important skill to have, but honestly, if you can’t solve ([3x - 3x^2 +1] ^744) x ([- 3x + 3x^2 +1] ^745) it doesn’t mean you won’t be successful in life. All it means is that you probably weren’t the best algebra 2 student in high school. “…One...
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Open DocumentAlgebra 222 week 3 Quiz CLOSE WINDOW Week 3: Radicals and Rational Exponents, Date Submitted: 10/16/2014 1. Simplifying a sum or difference of radical expressions: Multivariate Simplify as much as possible. +8y48w3w3wy2 Assume that all variables represent positive real numbers. You answered correctly: 33wy3w 2. Rationalizing the denominator of a radical expression Rationalize the denominator and simplify. 611 You answered: 6611 Your answer is incorrect. The correct answer is:...
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Open Document[pic] Grade 8 Algebra Sample Questions and Answers [pic] This booklet contains sample items from the National Assessment of Educational Progress (NAEP). Additional items can be accessed at www.nces.ed.gov/nationsreportcard/itmrls. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics (NCES), National Assessment of Educational Progress (NAEP) NAEP Grade 8 Algebra Contents Introduction 3 Question 1 –...
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