Introduction to College Algebra November 9‚ 2009 2 Chapter 1 Sets Definition 1.1. A set is a well-defined collection of distinct objects. Each object in a set is called an element of the set. By “well-defined”‚ we mean that the rule of membership to the set is clear. Example 1.2. The following are examples of sets. 1. The set of counting number less than 5. 2. The set of vowels in the word “mathematics”. 3. The set of cities in the Philippines. 4. The set of positive integers from −2 to
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Sciences MAT/116 Version 8 Algebra 1A Copyright © 2012‚ 2010‚ 2009‚ 2007‚ 2006 by University of Phoenix. All rights reserved. Course Description This course introduces basic algebra concepts and assists in building skills for performing specific mathematical operations and problem solving. Students will solve equations‚ evaluate algebraic expressions‚ solve and graph linear equations and linear inequalities‚ graph lines‚ and solve systems of linear equations and linear inequalities. These concepts and
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Summer 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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(2.5‚ –0.5) (2.5‚ 0.5) (–0.5‚ 2.5) (0.5‚ 2.5) 7. Identify the solution(s) of the system of equations‚ if any. 7x + 2y = 2 6x - 2y = 6 (13/8‚ -75/16) (–4‚ 15) (8/13‚ -15/13) (8‚ –27) Hint X Hint X 8. A system of inequalities is defined by the following formulas. 251575 1525 75 Which graph represents its solution? 9. Consider the equations: = -3 - 4 and = 5 Select the solution for . Hint X 5 3 4 4512080 534 -154 10. Consider the
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Economic inequality encompasses two very concerning issues that negatively affect the citizens of the United States as well as those in other countries. The first is income inequality; "This describes the gap in how much individuals earn from the work they do and the investments they make." Secondly‚ there is wealth inequality which "measures the difference in how much money and other assets individuals have accumulated." (Matthews‚ 2014). There are a variety of opinions on how to address these
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Inequalities Deborah White Ashford University MAT221: Introduction to Algebra (AFN1312A) Instructor: Tracy Abram April 1‚ 2013 On page 151 of Elementary and Intermediate Algebra‚ the Body Mass Index (BMI) is given as: BMI= 703W/H2 W = one’s weight in pounds H = one’s height in inches. By calculating four intervals based on your height can be possible by using the Body Mass Index formula. However‚ in this situation I am going to use inequalities to calculate Body Mass Index(BMI) which is meant to
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other east. When the car traveling north had gone 9 mi‚ the distance between the cars was 3 mi more than the distance traveled by the car heading east. How far had the eastbound car traveled? Tutorial 2: Equations and Inequalities 1. Solve the following inequalities: a) [pic] > [pic] b) [pic] (c) [pic] 2. One solution is 30% acid and another is 10% acid. How many cubic centimetres of each should be mixed to obtain 100cc of a solution that is 18% acid? 3. Kelly fisher has
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Even though college algebra is considered to be an obstacle for many students in terms of degree completion‚ as teachers we must teach useful strategies to motivate our students to find interest in mathematics. Recently‚ there is a psychological problem that we as teachers will face in the future‚ which is that some students believe they were born incompetent in math. However‚ “effort is key to their success and failure is a result of a lack of effort” (Cortes-Suarez‚ 2004). As teachers‚ we must
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Homework Sheet - Basic Algebra 1. John and Sarah are simplifying this expression. 3a + 8b + 7a – 6b John says the answer is 2a + 2b and Sarah says the answer is 10a + 14b. What is the correct answer? Sarah 2. Simplify these expressions. a) 4d + 6e – 2d – 3e = 2d-3e b) 12g – 3h – 8g + h = 4g-4h c) k + 2k + 3k – m – 2m – 3m = 6k-3m d) 7c + 4d – 10c + 5d = -3c+9d 3. Multiply out these brackets. a) 3(2a + 7) = 6a+21 b) 5(3x – 2y) = 15x-10 c) 2(4g2 – 3g) = 8g2-6
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The Kite Runner In many societies‚ differences in religion and history can cause a social rift and create a structure of classes. This separation between people can affect the circumstances they are subject to and essentially how they live their life. However an individual’s outlook on life and the positive and negative thoughts he or she acquires are dependant solely on his or her decisions and outside forces. In the novel‚ The Kite Runner‚ the author Khaled Hosseini tells the story of an Afgan
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