By Rhonda Huettenmueller

ISBN-10: 0071389938

ISBN-13: 9780071389938

ISBN-10: 0071412107

ISBN-13: 9780071412100

Realizing algebra promises a more sensible choice of jobs, is helping you practice greater in technological know-how, computing, and math classes, ups your ranking on aggressive tests, and improves your skill to do day-by-day computations. and there is no speedier or extra painless option to grasp the topic than Algebra Demystified! unique writer and skilled instructor Rhonda Huettenmueller offers the entire math historical past you wish and makes use of functional examples, genuine facts, and a wholly various method of elevate the "myst" from algebra. With Algebra Demystified, you grasp algebra one basic step at a time - at your individual pace. not like such a lot books at the topic, common innovations are offered first - and the main points keep on with. to be able to make the method as transparent and straightforward as attainable, lengthy computations are provided in a logical, layered development with only one execution consistent with step.

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**Extra resources for Algebra Demystified: A Self Teaching Guide**

**Example text**

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.

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.

2ðx þ 7Þð3x þ 1Þ 2 ðx þ 7Þð3x þ 1Þ ¼ Á ¼ ðx þ 7Þð3x þ 1Þ 2 2 1 15ðx þ 6Þðx À 2Þ 3 Á 5ðx þ 6Þðx À 2Þ 3ðx À 2Þ 5ðx þ 6Þ ¼ ¼ Á ¼ 5ðx þ 6Þ 3ðx À 2Þ 3ðx À 2Þ 3ðx À 2Þ 1 Practice 1: 3xy ¼ 2x 2: 8x ¼ 4 3: 30xy ¼ 16y 4: 72x ¼ 18xy 5: xðx À 6Þ ¼ 2x 6: 6xyð2x À 1Þ ¼ 3x 39 CHAPTER 2 Introduction to Variables 40 7: ð5x þ 16Þð2x þ 7Þ ¼ 6ð2x þ 7Þ 8: 24xðy þ 8Þðx þ 1Þ ¼ 15xðy þ 8Þ 9: 150xyð2x þ 17Þð8x À 3Þ ¼ 48y Solutions 1: 3xy 3y x 3y ¼ Á ¼ 2x 2 x 2 2: 8x 2x 4 ¼ Á ¼ 2x 4 1 4 3: 30xy 15x 2y 15x ¼ Á ¼ 16y 8 2y 8 4: 72x 4 18x 4 ¼ Á ¼ 18xy y 18x y 5: xðx À 6Þ x À 6 x x À 6 ¼ Á ¼ 2x 2 x 2 6: 6xyð2x À 1Þ 2yð2x À 1Þ 3x ¼ Á ¼ 2yð2x À 1Þ 3x 1 3x 7: ð5x þ 16Þð2x þ 7Þ 5x þ 16 2x þ 7 5x þ 16 ¼ Á ¼ 6ð2x þ 7Þ 6 2x þ 7 6 8: 24xðy þ 8Þðx þ 1Þ 8ðx þ 1Þ 3xðy þ 8Þ 8ðx þ 1Þ ¼ Á ¼ 15xðy þ 8Þ 5 3xðy þ 8Þ 5 9: 150xyð2x þ 17Þð8x À 3Þ 25xð2x þ 17Þð8x À 3Þ 6y ¼ Á 48y 8 6y 25xð2x þ 17Þð8x À 3Þ ¼ 8 CHAPTER 2 Introduction to Variables 41 Operations on Fractions with Variables Multiplication of fractions with variables is done in exactly the same way as multiplication of fractions without variables—multiply the numerators and multiply the denominators.

### Algebra Demystified: A Self Teaching Guide by Rhonda Huettenmueller

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