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## College Algebra

by: Julianne Welch

11

0

2

# College Algebra MATH 121

Julianne Welch
UNM
GPA 3.78

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Julianne Welch on Wednesday September 23, 2015. The Class Notes belongs to MATH 121 at University of New Mexico taught by Staff in Fall. Since its upload, it has received 11 views. For similar materials see /class/212178/math-121-university-of-new-mexico in Mathematics (M) at University of New Mexico.

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Date Created: 09/23/15
Algebra Refresher for Math 121 updated 08302005 The following are some of the basic skills that are expected when you enter College Algebra Some topics will be covered in this course in more depth but a beginning knowledge makes for more success 1 Classi cation within the Real Number System Be sure you can identify the type of number you re working with REAL Rational Irrational Integer Wliole Natural Categorize the following numbers based on the chart above 6 3 Tl7sll44327 and rewrite them in ascending order smallest to largest 11 Order of Operationsexponentssimplifying expressions Here are some examples of problems you should be able to handle 1 32 4239362 1 6J49 2 1644256 7 3232 2 3 48 6 43 2 8 8 V5 22235 36 016171quot f 4 7sz J 9 5 2114 1 1 5 83 2 252 10J25 16 Word Problems 11 Sandrajust had to take a pay decrease in salary of 6 She is now earning 32000 per year What was her old salary before her paycut 12 You nd while dining out that you only have 45 in cash You want to be sure to have enough for tax and tip and decide you have to keep 20 aside for this How much can you spend on dinner before the tax or tip has been added on III Identifying polynomials and their parts Operations with polynomials Monomials one term Examples 25x3 OR 179132 Binomials two terms Examples x2 l4 OR lSab 8 Trinomials three terms Examples x2 3x 7 OR 0001x3 003x2 5x Here are some practice problems to do Add Sny 2xy2 3xy 5 2x2y 3992 4xy 7 Subtract 7612b 3ab2 Sab 4 8612b 4ab2 2ab 6 1 3x4xy 7 x23x 5 y3X2y6 4 3x 42 2 Multiply 3 l x2 8x15 2 y2 36 3 4a2 20a 25 x2 4 DivideFactorSimplify4 x 2 2 5 9x 6x 3 12x 12 3 2 6 12x 125x 27x 3x 3x IV Pythagorean Theorem and the Distance formula Given a right triangle with legs of length a and b and hypotenuse of c the relationship between these three values will be c2 a2 b2 1 FindcifaJ3andb4 2FindaifcJ andb2 3 Given the coordinate system where points are noted by ordered pairs xy nd the length between point A at 23 and point B at 47 V Deciphering between linear and quadratic equations and knowing how to solve them Examples to solve for the variable 1 5x 2 3x 27 2 4y17 14 y 3 x2 7x 8 0 4 21 35 12

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