By Rhonda Huettenmueller

Understanding algebra grants a better option of jobs, is helping you practice larger in technological know-how, computing, and math classes, ups your rating on aggressive checks, and improves your skill to do day-by-day computations. and there is no speedier or extra painless technique to grasp the topic than Algebra Demystified! unique writer and skilled instructor Rhonda Huettenmueller presents the entire math heritage you wish and makes use of functional examples, actual info, and a unconditionally varied method of elevate the "myst" from algebra. With Algebra Demystified, you grasp algebra one uncomplicated step at a time - at your individual pace. in contrast to so much books at the topic, common ideas are offered first - and the main points keep on with. as a way to make the method as transparent and easy as attainable, lengthy computations are provided in a logical, layered development with only one execution according to step.

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

**Example text**

CHAPTER 1 Fractions quotient divisor Þdividend 3 7 Þ22 25 22 1 ¼3 7 7 ÁÁÁ À21 remainder 1 To convert an improper fraction to a mixed number, divide the numerator into the denominator. The remainder will be the new numerator and the quotient will be the whole number. 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.

CHAPTER 2 Introduction to Variables Let x ¼ the price of the new car. x À 5000 ¼ the price of the used car A box’s length is three times its width. Let x ¼ width (in the given units). 3x ¼ length (in the given units) Jack is two-thirds as tall as Jill. Let x ¼ Jill’s height (in the given units). 2 3x ¼ Jack’s height (in the given units) From 6 pm to 6 am the temperature dropped 30 degrees. Let x = temperature (in degrees) at 6 pm. x À 30 ¼ temperature (in degrees) at 6 am One-eighth of an employee’s time is spent cleaning his work station.

The steps you will follow are the same as in multiplying fractions—only in reverse. 4: Examples 3 3Á1 3 1 1 ¼ ¼ Á ¼3Á 4 1Á4 1 4 4 (This expression is different from 3 14 ¼ 3 þ 14 :Þ x 1Áx 1 x 1 ¼ ¼ Á ¼ x 3 3Á1 3 1 3 3 3Á1 3 1 1 ¼ ¼ Á ¼3Á x 1Áx 1 x x 7 7Á1 7 1 ¼ ¼ Á 8x 8 Á x 8 x 7x 7 Á x 7 ¼ ¼ x 8 8Á1 8 x þ 1 1 Á ðx þ 1Þ 1 ¼ ¼ ðx þ 1Þ 2 2Á1 2 2 2Á1 2 1 1 ¼ ¼ Á ¼2 x þ 1 1 Á ðx þ 1Þ 1 x þ 1 xþ1 Practice Separate the factor having a variable from the rest of the fraction. 1: 4x ¼ 5 CHAPTER 2 Introduction to Variables 2: 7y ¼ 15 3: 3 ¼ 4t 4: 11 ¼ 12x 5: xÀ3 ¼ 4 6: 5 ¼ 7ð4x À 1Þ 7: 10 ¼ 2x þ 1 Solutions 1: 4x 4 Á x 4 x 4 ¼ ¼ Á ¼ x 5 5Á1 5 1 5 2: 7y 7Áy 7 y 7 ¼ ¼ Á ¼ y 15 15 Á 1 15 1 15 3: 3 3Á1 3 1 ¼ ¼ Á 4t 4 Á t 4 t 4: 11 11 Á 1 11 1 ¼ ¼ Á 12x 12 Á x 12 x 5: x À 3 1 Á ðx À 3Þ 1 ¼ ¼ ðx À 3Þ 4 4Á1 4 6: 5 5Á1 5 1 ¼ ¼ Á 7ð4x À 1Þ 7 Á ð4x À 1Þ 7 4x À 1 7: 10 10 Á 1 1 ¼ ¼ 10 Á 2x þ 1 1 Á ð2x þ 1Þ 2x þ 1 43 CHAPTER 2 Introduction to Variables 44 Fraction Division and Compound Fractions Division of fractions with variables can become multiplication of fractions by inverting the second fraction.