Algebra Demystified: A Self Teaching Guide by Rhonda Huettenmueller

By Rhonda Huettenmueller

Realizing algebra supplies a more sensible choice of jobs, is helping you practice greater in technology, computing, and math classes, ups your rating on aggressive tests, and improves your skill to do day-by-day computations. and there is no swifter or extra painless method to grasp the topic than Algebra Demystified! wonderful writer and skilled instructor Rhonda Huettenmueller offers all of the math historical past you wish and makes use of functional examples, genuine information, and a wholly varied method of carry the "myst" from algebra. With Algebra Demystified, you grasp algebra one uncomplicated step at a time - at your individual pace. not like so much books at the topic, basic suggestions are provided first - and the main points stick 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 consistent with step.

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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. Variables are treated like numbers because they are numbers. For instance 2 þ x means two plus the quantity x and 2x means two times the quantity x (when no operation sign is given, the operation is assumed to be multiplication).

Examples 7 3x 21x Á ¼ 10 4 40 24 3 24 Á 3 12 Á 3 36 Á ¼ ¼ ¼ 5y 14 5y Á 14 5y Á 7 35y 34x 3 34x Á 3 17x Á 1 17x Á ¼ ¼ ¼ 15 16 15 Á 16 5Á8 40 Practice 1: 4x 2 Á ¼ 9 7 2: 2 6y Á ¼ 3x 5 3: 18x 2 Á ¼ 19 11x 4: 5x 4y Á ¼ 9 3 Solutions 1: 4x 2 8x Á ¼ 9 7 63 2: 2 6y 2 Á 6y 2 Á 2y 4y Á ¼ ¼ ¼ 3x 5 3x Á 5 xÁ5 5x CHAPTER 2 Introduction to Variables 42 3: 18x 2 18x Á 2 18 Á 2 36 Á ¼ ¼ ¼ 19 11x 19 Á 11x 19 Á 11 209 5x 4y 20xy Á ¼ 9 3 27 At times, especially in calculus, you might need to write a fraction as a product of two fractions or of one fraction and a whole number or of one fraction and a variable.

If you are working with variables and want to check whether the expression you have computed is really equal to the expression with which you started, take some larger prime number, not a factor of anything else in the expression, and plug it into both the original expression and the last one. If the resulting numbers are the same, it is very likely that the first and last expressions are equal. ’’ Test x ¼ 23: 37 Copyright 2003 The McGraw-Hill Companies, Inc. Click Here for Terms of Use. CHAPTER 2 Introduction to Variables 38 3ð23Þ þ 4 ¼ 73 and 7ð23Þ ¼ 161, so we can conclude that in general 3x þ 4 6¼ 7x.

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