Download e-book for kindle: Elementary and Intermediate Algebra: A Combined Approach by Kaufman

By Kaufman

Grasp algebraic basics with Kaufmann/Schwitters undemanding AND INTERMEDIATE ALGEBRA 5e. study from transparent and concise factors, a number of examples and various challenge units in an easy-to-read layout. The text's 'learn, use & observe' formulation is helping you examine a ability, use the ability to resolve equations, then use it on resolve program difficulties. With this straightforward, user-friendly strategy, you'll grab and follow key problem-solving abilities valuable for fulfillment in destiny arithmetic classes.

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Example text

73. What is the greatest common factor of x and y if x and y are nonzero whole numbers, and y is a multiple of x? Explain your answer. 74. What is the least common multiple of x and y if they are both prime numbers, and x does not equal y? Explain your answer. Rule for 5 A whole number is divisible by 5 if and only if the units digit of its base-10 numeral is divisible by 5. ) EXAMPLES 75. What is the least common multiple of x and y if the greatest common factor of x and y is 1? Explain your answer.

80 35. 49 36. 92 ■ ■ ■ THOUGHTS INTO WORDS 67. How would you explain the concepts greatest common factor and least common multiple to a friend who missed class during that discussion? 68. Is it always true that the greatest common factor of two numbers is less than the least common multiple of those same two numbers? Explain your answer. 16 Chapter 1 Some Basic Concepts of Arithmetic and Algebra ■ ■ ■ FURTHER INVESTIGATIONS 69. The numbers 0, 2, 4, 6, 8, and so on are multiples of 2. They are also called “even” numbers.

24 17. 63 18. 57 19. 64 20. 84 21. Find the greatest common factor of 36 and 54. 22. Find the greatest common factor of 48, 60, and 84. 23. Find the least common multiple of 18 and 20. 24. Find the least common multiple of 15, 27, and 35. 41. As a running back in a football game, Marquette carried the ball 7 times. On two plays he gained 6 yards each play, on another play he lost 4 yards, on the next three plays he gained 8 yards per play, and on the last play he lost 1 yard. Write a numerical expression that gives Marquette’s overall yardage for the game, and simplify that expression.

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