Download e-book for iPad: Algebra Demystified: A Self Teaching Guide by Rhonda Huettenmueller

By Rhonda Huettenmueller

ISBN-10: 0071389938

ISBN-13: 9780071389938

* Explains find out how to comprehend algebra with no need a mathematical heritage
* makes use of sensible examples and genuine information
* comprises a complete part dedicated to observe difficulties and fractions

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Additional resources for Algebra Demystified: A Self Teaching Guide

Example text

Divide the LCD by each denominator. Multiply each fraction by this number over itself. Examples 4 7 9 þ þ 5 15 20 Prime factorization of the denominators: 5 ¼ 5 15 ¼ 3 Á 5 20 ¼ 2 Á 2 Á 5 The LCD ¼ 2 Á 2 Á 3 Á 5 ¼ 60       4 7 9 4 12 7 4 9 3 48 28 27 103 þ þ ¼ Á Á Á þ þ ¼ þ þ ¼ 5 15 20 5 12 15 4 20 3 60 60 60 60 3 5 1 þ þ 10 12 18 Prime factorization of the denominators: 10 ¼ 2 Á 5 12 ¼ 2 Á 2 Á 3 18 ¼ 2 Á 3 Á 3 LCD ¼ 2 Á 2 Á 3 Á 3 Á 5 ¼ 180       3 5 1 3 18 5 15 1 10 54 75 þ þ ¼ Á Á Á þ þ þ ¼ 10 12 18 10 18 12 15 18 10 180 180 10 139 ¼ þ 180 180 CHAPTER 1 Fractions 18 Practice 1: 5 4 7 þ þ ¼ 36 9 12 2: 11 3 1 þ þ ¼ 24 10 8 3: 1 5 9 þ þ ¼ 4 6 20 4: 3 9 7 þ þ ¼ 35 14 10 5: 5 3 1 7 þ þ þ ¼ 48 16 6 9 Solutions     5 4 7 5 4 4 7 3 5 16 21 42 7 1: þ þ ¼ þ Á Á þ þ ¼ ¼ þ ¼ 36 9 12 36 9 4 12 3 36 36 36 36 6       11 3 1 11 5 3 12 1 15 55 36 15 2: þ þ ¼ Á Á Á þ þ þ þ ¼ 24 10 8 24 5 10 12 8 15 120 120 120 106 53 ¼ ¼ 120 60       1 5 9 1 15 5 10 9 3 15 50 27 92 3: þ þ ¼ Á Á Á þ þ ¼ þ þ ¼ 4 6 20 4 15 6 10 20 3 60 60 60 60 23 ¼ 15       3 9 7 3 2 9 5 7 7 6 45 49 þ þ ¼ Á Á Á þ þ þ þ ¼ 4: 35 14 10 35 2 14 5 10 7 70 70 70 100 10 ¼ ¼ 70 7         5 3 1 7 5 3 3 9 1 24 7 16 þ þ þ ¼ Á Á Á Á þ þ þ 5: 48 16 6 9 48 3 16 9 6 24 9 16 15 27 24 112 178 89 ¼ þ þ þ ¼ ¼ 144 144 144 144 144 72 CHAPTER 1 Fractions 19 Whole Number-Fraction Arithmetic A whole number can be written as a fraction whose denominator is 1.

Examples 6 y 6 4 y 25 24 25y 24 þ 25y þ ¼ Á þ Á ¼ þ ¼ 25 4 25 4 4 25 100 100 100 CHAPTER 2 Introduction to Variables 46 2t 14 2t 11 14 5 22t 70 22t þ 70 þ ¼ Á þ Á ¼ þ ¼ 15 33 15 11 33 5 165 165 165 18 3 18 4 3 x 72 3x 72 À 3x À ¼ Á À Á ¼ À ¼ x 4 x 4 4 x 4x 4x 4x 9 5 þ 16t 12 16t ¼ 2 Á 2 Á 2 Á 2 Á t and 12 ¼ 2 Á 2 Á 3 so the LCD ¼ 2 Á 2 Á 2 Á 2 Á 3 Á t ¼ 48t 48t Ä 16t ¼ 3 and 48t Ä 12 ¼ 4t 9 5 9 3 5 4t 27 20t 27 þ 20t þ ¼ Á þ Á ¼ þ ¼ 16t 12 16t 3 12 4t 48t 48t 48t 71 13 À 84 30x 84 ¼ 2 Á 2 Á 3 Á 7 and 30x ¼ 2 Á 3 Á 5 Á x LCD ¼ 2 Á 2 Á 3 Á 5 Á 7 Á x ¼ 420x and 420x Ä 84 ¼ 5x and 420x Ä 30x ¼ 14 71 13 71 5x 13 14 355x 182 355x À 182 À ¼ Á À Á ¼ À ¼ 84 30x 84 5x 30x 14 420x 420x 420x Practice Do not try to reduce your solutions.

Write 2. 3. 1 7 þ ¼ 6 15 19 ðaÞ 30 1 34 ¼ 2 25 ðbÞ 8 15 ðcÞ 8 23 ðdÞ 2 45 ðdÞ 1 2 CHAPTER 1 Fractions 34 ðaÞ 4. 21 5 ðbÞ 7 5 17 5 À ¼ 18 12 1 19 ðaÞ ðbÞ 18 36 21 20 ðcÞ 35 48 ðdÞ ðcÞ 2 29 36 ðdÞ 5. Write 2 49 as an improper fraction. ðaÞ 6. 7. 8. 9. 3 5 Á ¼ 7 6 15 ðaÞ 6 11 1 þ ¼ 12 2 17 ðaÞ 12 2 3 4 8 9 ðcÞ 22 9 ðdÞ 2 49 is an improper fraction ðbÞ 5 7 ðcÞ 15 7 ðdÞ ðbÞ 3 4 4 90 ðcÞ 7 15 ðdÞ 13 14 ðcÞ 5 14 13 24 ðdÞ ¼ 3 2 ðbÞ 3 8 ðcÞ 4 3 ðdÞ 8 3 1 12 À 14 ¼ ðaÞ 11. ðbÞ 1 2 1 þ þ ¼ 3 15 18 1 47 ðaÞ ðbÞ 18 90 ðaÞ 10.

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Algebra Demystified: A Self Teaching Guide by Rhonda Huettenmueller


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