Section 1.1 Introduction to Algebra and the Set of Real Numbers 55 For additional exercises, see Classroom Activities 1.1A–1.1C in Section 1.1 Practice Exercises Study Skills Exercise the Student’s Resource Manual at www.mhhe.com/moh. In this text, we will provide skills for you to enhance your learning experience. In the first four chapters, each set of Practice Exercises begins with an activity that focuses on one of eight areas: learning about your course, using your text, taking notes, doing homework, taking an exam (test and math anxiety), managing your time, recognizing your learning style, and studying for the final exam. Each activity requires only a few minutes and will help you to pass this course and become a better math student. Many of these skills can be carried over to other disciplines and help you to become a model college student. To begin, write down the following information on a clean sheet of paper and place it in the front of your notebook. a. Instructor’s name b. Instructor’s office number c. Instructor’s telephone number d. Instructor’s e-mail address e. Instructor’s office hours f. Days of the week that the class meets g. The room number in which the h. Is there a lab requirement for this course? How class meets often must you attend lab and where is it located? Vocabulary and Key Concepts 1. a. A variable is a symbol or letter used to represent an unknown number. constants b. Values that do not vary are called . c. In mathematics, a well-defined collection of elements is called a . d. The statements a 6 b, a 7 b, and a b are examples of . e. The statement a 6 b is read as “ .” f. The statement c d is read as “ .” g. The statement 5 6 is read as “ .” h. Two numbers that are the same distance from 0 but on opposite sides of 0 on the number line are opposites called . set inequalities a is less than b c is greater than or equal to d 5 is not equal to 6 0a 0 0 i. The absolute value of a real number, is denoted by and is the distance between a and on the number line. a, Concept 1: Variables and Expressions For Exercises 2–12, evaluate the expressions for the given substitutions. (See Examples 1 and 2.) y 3 when y 18 3q when q 5 2. 15 3. 15 3 8 w when w 12 15 t when t 5 4. 5. 20 6 5 2 3 6d when d h when h 10 6. 4 7. 12 8. x 2y when x 4, y 10 24 9. c 2 d when c 15.4, d 8.1 5.3 Writing Translating Expression Geometry Scientific Calculator Video
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