Algebra Demystified: A Self Teaching Guide by Rhonda Huettenmueller

By Rhonda Huettenmueller

Figuring out algebra provides a more sensible choice of jobs, is helping you practice higher in technology, computing, and math classes, ups your ranking on aggressive assessments, and improves your skill to do day-by-day computations. and there is no swifter or extra painless approach to grasp the topic than Algebra Demystified! exciting writer and skilled instructor Rhonda Huettenmueller offers all of the math heritage you would like and makes use of useful examples, actual information, and a wholly varied method of elevate the "myst" from algebra. With Algebra Demystified, you grasp algebra one basic step at a time - at your individual velocity. in contrast to so much books at the topic, common strategies are awarded first - and the main points keep on with. so as to make the method as transparent and easy as attainable, lengthy computations are awarded in a logical, layered development with only one execution in keeping with step.

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1: 4 2x þ ¼ 15 33 2: x 7 À ¼ 48 30 3: 3 4 þ ¼ x 25 4: 2 6 þ ¼ 45x 35 CHAPTER 2 Introduction to Variables 5: 11 7 þ ¼ 150x 36 6: 2 3 þ ¼ 21x 98x 7: 1 5 þ ¼ 12x 9y 8: 19 1 À ¼ 51y 6x 9: 7x 2 þ ¼ 24y 15y 10: 3 2 þ ¼ 14y 35x Solutions 1: 4 2x 4 11 2x 5 44 10x 44 þ 10x þ ¼ Á þ Á ¼ þ ¼ 15 33 15 11 33 5 165 165 165 2: x 7 x 5 7 8 5x 56 5x À 56 À ¼ Á À Á ¼ À ¼ 48 30 48 5 30 8 240 240 240 3: 3 4 3 25 4 x 75 4x 75 þ 4x þ ¼ Á þ Á ¼ þ ¼ x 25 x 25 25 x 25x 25x 25x 4: 2 6 2 7 6 9x 14 54x 14 þ 54x þ ¼ Á þ Á ¼ þ ¼ 45x 35 45x 7 35 9x 315x 315x 315x 5: 11 7 11 6 7 25x 66 175x 66 þ 175x þ ¼ Á þ Á ¼ þ ¼ 150x 36 150x 6 36 25x 900x 900x 900x 6: 2 3 2 14 3 3 28 9 37 þ ¼ Á þ Á ¼ þ ¼ 21x 98x 21x 14 98x 3 294x 294x 294x 7: 1 5 1 3y 5 4x 3y 20x 3y þ 20x þ ¼ Á þ Á ¼ þ ¼ 12x 9y 12x 3y 9y 4x 36xy 36xy 36xy 8: 19 1 19 2x 1 17y 38x 17y 38x À 17y À ¼ Á À Á ¼ À ¼ 51y 6x 51y 2x 6x 17y 102xy 102xy 102xy 47 CHAPTER 2 Introduction to Variables 48 9: 10: 7x 2 7x 5 2 8 35x 16 35x þ 16 þ ¼ Á þ Á ¼ þ ¼ 24y 15y 24y 5 15y 8 120y 120y 120y 3 2 3 5x 2 2y 15x 4y 15x þ 4y þ ¼ Á þ Á ¼ þ ¼ 14y 35x 14y 5x 35x 2y 70xy 70xy 70xy Word Problems Often the equations used to solve word problems should have only one variable, and other unknowns must be written in terms of one variable.

Examples 14 5 2 5 Þ14 À10 4 new numerator 14 ¼ 2 45 5 21 5 4 5 Þ21 À20 1 21 ¼ 4 15 5 Practice 1: 13 4 2: 19 3 3: 39 14 4: 24 5 5: 26 7 new numerator CHAPTER 1 Fractions 26 Solutions 1: 13 4 3 4 Þ13 À12 1 13 ¼ 3 14 4 2: 19 3 6 3 Þ19 À18 1 19 ¼ 6 13 3 3: 39 14 2 14 Þ39 À28 11 39 ¼ 2 11 14 14 4: 24 5 4 5 Þ24 À20 4 24 ¼ 4 45 5 5: 26 7 3 7 Þ26 À21 5 26 ¼ 3 57 7 Mixed Number Arithmetic You can add (or subtract) two mixed numbers in one of two ways. One way is to add the whole numbers then add the fractions.

Fifteen less four is eleven. Seven decreased by two is five. Six increased by one is seven. The sum of two and three is five. Nine more than four is thirteen. One-third of twelve is four. One-third of twelve is greater than two. Half of sixteen is eight. The car gets 350 miles per eleven gallons. Ten is less than twelve. Ten is no more than twelve. Three-fourths of sixteen is twelve. Twice fifteen is thirty. The difference of fourteen and five is nine. Nine is more than six. Nine is at least six. Solutions 1: 15 À 4 ¼ 11 2: 7 À 2 ¼ 5 3: 6 þ 1 ¼ 7 4: 2 þ 3 ¼ 5 5: 9 þ 4 ¼ 13 CHAPTER 1 Fractions 6: 1 Â 12 ¼ 4 3 7: 1 Â 12 > 2 3 8: 1 Â 16 ¼ 8 2 33 9: 350 Ä 11 (miles per gallon) 10: 10 < 12 11: 10 12: 12 3 Â 16 ¼ 12 4 13: 2 Â 15 ¼ 30 14: 14 À 5 ¼ 9 15: 9 > 6 16: 9 !

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