Beginning Algebra (Available 2010 Titles Enhanced Web by Jerome E. Kaufmann, Karen L. Schwitters

By Jerome E. Kaufmann, Karen L. Schwitters

Starting ALGEBRA employs a confirmed, three-step problem-solving approach--learn a ability, use the ability to resolve equations, after which use the equations to unravel software problems--to continue scholars all for construction abilities and reinforcing them via perform. this straightforward and easy technique, in an easy-to-read layout, has helped many scholars grab and practice primary problem-solving abilities. The rigorously based pedagogy contains studying ambitions, specified examples to strengthen suggestions, perform workouts, an in depth collection of problem-set workouts, and well-organized end-of-chapter experiences and tests. also, the fresh and uncluttered layout is helping preserve scholars eager about the strategies whereas minimizing distractions. difficulties and examples reference a large array of subject matters, in addition to occupation components corresponding to electronics, mechanics, and health and wellbeing, displaying scholars that arithmetic is a part of lifestyle. additionally, as suggested by way of the yankee Mathematical organization of Two-Year faculties, many simple geometric suggestions are built-in within the book's problem-solving units. The text's source package--anchored by way of more suitable WebAssign, an internet homework administration tool--saves teachers time whereas additionally delivering extra support and skill-building perform for college kids outdoors of sophistication.

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Explain your answer. 85. What is the least common multiple of x and y if the greatest common factor of x and y is 1? Explain your answer. Answers to the Example Practice Skills 1. (a) 22 и 32 (b) 2 и 3 и 7 2. 6 3. 9 4. 1 5. 18 Answers to the Concept Quiz 1. True 2. True 3. False 4. False 5. False 6. 60 7. 300 8. 180 9. 5 Rational Numbers 41 Rational Numbers OBJECTIVES 1 Reduce Fractions 2 Multiply Rational Numbers 3 Divide Rational Numbers 4 Add and Subtract Rational Numbers 5 Simplify Numerical Expressions 6 Solve Application Problems Involving Rational Numbers 1 Reduce Fractions Fractions and rational numbers are encountered throughout the study of algebra.

In other words, we need to remember that the product of two positive integers or two negative integers is a positive integer, and that the product of a positive integer and a negative integer (in either order) is a negative integer. Then we can avoid the step-by-step analysis and simply write the results as follows: 1721Ϫ92 ϭ Ϫ63 182172 ϭ 56 1Ϫ521Ϫ62 ϭ 30 1Ϫ421122 ϭ Ϫ48 18 Chapter 1 Basic Concepts of Arithmetic and Algebra 5 Divide Integers By looking back at our knowledge of whole numbers, we can get some guidance for our work with integers.

3 Rational Numbers a Any number that can be written in the form , where a and b are integers, and b b is not zero, is a rational number. Here are some examples of rational numbers: 7 9 1 2 15 7 Ϫ3 4 5 Ϫ7 Ϫ11 Ϫ13 All integers are rational numbers, because every integer can be expressed as the indicated quotient of two integers. For example, 6ϭ 6 12 18 ϭ ϭ , etc. 1 2 3 27 ϭ 0ϭ 27 54 81 ϭ ϭ , etc. 1 2 3 0 0 0 ϭ ϭ , etc. 2 with the division of negative integers helps with the next three examples: Ϫ4 ϭ Ϫ4 Ϫ8 Ϫ12 ϭ ϭ , etc.

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