By Rhonda Huettenmueller
* Explains find out how to comprehend algebra with no need a mathematical history
* makes use of useful examples and actual facts
* comprises a complete part dedicated to note difficulties and fractions
Read Online or Download Algebra Demystified: A Self Teaching Guide PDF
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Additional resources for Algebra Demystified: A Self Teaching Guide
Equal numbers do not always guarantee that the expressions are equal. Also be careful not to make an arithmetic error. The two expressions might be equal but making an arithmetic error might lead you to conclude that they are not equal. Canceling with Variables Variables can be canceled in fractions just as whole numbers can be. Examples 2x 2 x ¼ Á ¼2 x 1 x 6x 6 x 6 2 ¼ Á ¼ ¼ 9x 9 x 9 3 7xy 7y x 7y ¼ Á ¼ 5x 5 x 5 When you see a plus or minus sign in a fraction, be very careful when you 2þx cancel.
The shortest piece is 1 1 4 the length of the longest piece, and the middle piece is 3 the length of the longest piece. 49 CHAPTER 2 Introduction to Variables 50 Let x ¼ length of the longest piece. 1 3x 1 4x ¼ length of the middle piece ¼ length of the shortest piece A store is having a one-third oﬀ sale on a certain model of air conditioner. Let x ¼ regular price of the air conditioner. Then 23 x ¼ sale price of the air conditioner. ’’ ‘‘One-third the price of the air conditioner’’ is represented by 13 x.
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.