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 larger in technological know-how, computing, and math classes, ups your ranking on aggressive checks, and improves your skill to do day-by-day computations. and there is no swifter or extra painless solution to grasp the topic than Algebra Demystified! enjoyable writer and skilled instructor Rhonda Huettenmueller offers all of the math history you wish and makes use of useful examples, actual info, and a unconditionally diversified method of carry the "myst" from algebra. With Algebra Demystified, you grasp algebra one basic step at a time - at your personal velocity. not like so much books at the topic, common strategies are provided first - and the main points stick with. in an effort to make the method as transparent and straightforward as attainable, lengthy computations are offered in a logical, layered development with only one execution in line with step.

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**Example text**

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 !

The only x quantities that can be canceled are factors. Many students mistakenly ‘‘can2þx 2þ1 2þx cel’’ the x and conclude that ¼ ¼ 3 or ¼ 2. These equations x 1 x 2þx are false. If were equal to 2 or to 3, then we could substitute any value x for x (except for 0) and we would get a true equation. Let’s try x = 19: 2 þ 19 21 ¼ . 19 19 2þx 2þx We can see that 6¼ 2 and 6¼ 3. The reason that the x cannot be x x factored is that x is a term in this expression, not a factor. ) If you must cancel 2þx the x out of , you must rewrite the fraction: x CHAPTER 2 Introduction to Variables 2þx 2 x 2 ¼ þ ¼ þ 1: x x x x Simply because a plus or minus sign appears in a fraction does not auto3þx matically mean that canceling is not appropriate.

Write in mathematical symbols: Five is at least four. ðaÞ 4 > 5 ðbÞ 4 ! 5 ðcÞ 5 > 4 ðdÞ 5 ! 4 Solutions 1. 5. 9. 13. (b) (c) (d) (d) 2. 6. 10. 14. (a) (d) (c) (a) 3. 7. 11. 15. (d) (b) (c) (b) 4. 8. 12. 16. (b) (a) (a) (d) This page intentionally left blank. CHAPTER 2 Introduction to Variables A variable is a symbol for a number whose value is unknown. A variable might represent quantities at diﬀerent times. ’’ The value of your earnings varies depending on the number of hours worked. If an equation has one variable, we can use algebra to determine what value the variable is representing.

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