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Algebra

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Algebra 1

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Algebra
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Mathematics
Abstract algebra
Algebra
Elementary arithmetic
Binary operations
Elementary algebra
Negative number
Addition
multiplication
Number
Inequality
Distributive Property
education

Curriculum Map Staff Name: Mr. Kurth Course: Algebra 1 Month/Unit: Sept 6 ? Sep 17 UNIT 1 ? Tools of Algebra C O N T E N T Using Variables Exponents and Order of Operations Addition and Subtraction of Real Numbers Multiplication and Division of Real Numbers Distributive Property Various Properties of Real Numbers Graphing Data on a Coordinate Plane S K I L L S Add, Subtract, Multiply and Divide Variables Solve for variables Correct processing real numbers through the order of operations Use the distributive property Compare integers and real numbers

Algebra 1

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Algebra
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education
Education reform
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Homework
ALEKS

Syllabus for ALGEBRA 1 2012-2013 School Year Mr. Kurth 691-2100 ex6293 Course Power Standards: Problem Solve Utilizing Appropriate Mathematical Processes Problem Solve Utilizing Appropriate Technology Apply Algebra Skills Analyze Reasonableness of Solutions Communicate Mathematical Reasoning in Verbal and Written Form Homework and Classwork: Homework and classwork are assigned for the sole and specific reason for test preparation. Students are allowed to work ahead on the ALEKS program and, at the very least, remain with the pace set by Quizzes: The ALEKS program will give quizzes at various times to check for full comprehension of previously-learned material. TESTS: Tests will be given on the ALEKS program at the end of each unit.

Laws of indices

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Algebra
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ISO 216
Metrication
Stationery

Laws of Indices OCR Module 8 What are Indices? Indices provide a way of writing numbers in a more convenient form Indices is the plural of Index An Index is often referred to as a power For example 5 x 5 x 5 = 53 2 x 2 x 2 x 2 = 24 7 x 7 x 7x 7 x 7 = 75 7 is the BASE NUMBER 5 is the INDEX 75 & 24 are numbers in INDEX FORM Combining numbers 5 x 5 x 5 x 2 x 2 x 2 x 2 = 53 x 24 We can not write this any more simply Can ONLY do that if BASE NUMBERS are the same Rule 1 : Multiplication 26 x 24 = 210 24 x 22 = 26 35 x 37 = 312 General Rule am x an = am+n Rule 2 : Division 26 ? 24 = 32 25 ? 22 = 23 35 ? 37 = 3-2 General Rule am ? an = am-n Rule 3 : Brackets (26)2 = 26 x 26 = 212 (35)3 = 35 x 35 x 35 = 315 General Rule (am)n = am x n Rule 4 : Index of 0

McGraw Hill Practice Tests

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Algebra
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McGRAW-HILL?s SAT ? This page intentionally left blank McGRAW-HILL?s ? SAT 2010 EDITION CHRISTOPHER BLACK MARK ANESTIS and the TUTORS of COLLEGE HILL COACHING? NEW YORK / CHICAGO / SAN FRANCISCO / LISBON / LONDON / MADRID / MEXICO CITY MILAN / NEW DELHI / SAN JUAN / SEOUL / SINGAPORE / SYDNEY / TORONTO Copyright ? 2009, 2008, 2007, 2006, 2005, 2004 by The McGraw-Hill Companies, Inc.. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. ISBN: 978-0-07-162547-0 MHID: 0-07-162547-X

Rational Functions

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Algebra
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Mathematics
Abstract algebra
Algebra
Division
Polynomial
Fraction
Rational function
Number
Partial fraction
Algebraic number
education

Extending function arithmetic to division results in the family of "rational" functions (Quotients of polynomials) with the property that Let be the degree of the numerator and be the degree of the denominator A rational function is said to be: Strictly proper if Proper if Improper if Any rational function which is not strictly proper can be expressed as the sum of a polynomial and a strictly proper rational function Given with Let be the result of the quotient and be the remainder of the same quotient, then EXAMPLE: Any strictly proper rational function can be expressed as the sum of simpler rational functions whose denominators are quadratic or linear polynomials Display Mode:

Inverse Functions

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Algebra
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Inverse functions
Abstract algebra
Functions and mappings
Inverse function
Inverse element
Function
Inverse
Bijection
education

Inverse Functions Given a function , if there is a function such that which equals the identity function The function is said to be "invertible" "undoes" what "does", and vice versa Such a function is called the inverse, denoted as (the inverse of ) The notation is not to be confused with an exponent In some cases the inverse of a function can be found through algebraic methods CONSIDER: Given to determine we must find a functions that must undo But, recall the set of outputs from , to undo we take Thus Observe that: Not every function has an inverse CONSIDER: But is not a function. An inverse only exists when different inputs in the domain always yield different outputs in the range Such functions are called one-to-one

BASIC MATHEMATICS

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Algebra
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Elementary arithmetic
Parity
Ordinary differential equations
Partial fractions

Question 1 The universal set is {natural numbers from 1 to 20 inclusive} (a) List the elements of each of the following subsets: A = {even numbers} B = {multiples of 5} C = {prime numbers} D = {factors of 20} E = {numbers less than 5} (b) Use (a) and answer the following questions: B E A C A B n(D) = ???. B ~ ???? [10] Question 2 Make use of a Venn diagram to solve the following problem. There are 210 learners with different home languages in a school: 110 speak Oshivambo 90 speak Otjiherero 50 speak Silozi 10 speak Oshivambo and Otjiherero 30 speak Otjiherero and Silozi 5 speak Oshivambo and Silozi Only 3 speak all three languages

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