Lesson College Algebra Exam Factoring, Fractions, Radicals, Equation Solving

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This Lesson (College Algebra Exam Factoring, Fractions, Radicals, Equation Solving) was created by by rapaljer(4667) About Me : View Source, Show
About rapaljer: Retired Professor of Mathematics from Seminole State College of Florida after 36 years.

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College Algebra Exam 1 LG    R2           NAME__________________

 

SHOW ALL WORK ON THIS TEST OR ON SEPARATE PAPER. Circle answers.

TURN IN ALL WORKSHEETS. GRAPHING CALCULATORS ARE REQUIRED ON THIS TEST. (WHEN CALCULATORS ARE USED, SKETCH THE GRAPH, DESCRIBE THE WINDOW, OR OTHERWISE INDICATE WHAT YOU DID!!)

 

In 1 - 4, factor completely and simplify if possible:

 

  1.    2x4 – 54x                        2.    (x+2y)2 – 10(x+2y) + 25

 

 

 

 

 

 

  3.    x5 + 9x4 – 4x – 36          4.    (x2 – 7x) 2 + 16 (x2 – 7x) + 60

 

 

 

 

 

 

 

 

  5.                          6.   

 

 

 

 

 

 

 

  7.    Simplify:     

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  8.    Simplify:     

 

 

 

 

 

 

 

 

 

 

In 9 – 12, give simplest radical form. Rationalize all denominators.

  9a)       b)         10a)         b) 

 

 

 

 

 

 

 

 

11.                                             12.      

 

 

 

 

 

 

 

 

In 13 – 16, solve the equations for x. (Give complex or radical form when appropriate.)

13.   |2x – 3| = |x + 6|                              14.     x2 + 20 = 4x

 

 

 

 

 

 

 

 

 

 

15.   x2 = 4 ( x + 2)                                 16.    

 

 

 

 

 

 

 

 

In 17 – 19, use a calculator to calculate the value. Give scientific notation or round to nearest hundredth.

17a)         18a)              19a)  Give scientific notation: 0.0000042

 

 

 

 

 

 

     b)            b)            b) Give in the form a+bi:   

                                                                                               (Fractional form)

 

 

 

                                                                           

 

In 20 – 21, graph each of the following.

20a)   y = x2                                               21a) 

 

 

 

 

 

 

 

    b)   y = - x2                                                            b)  

 

 

 

 

 

 

 

22.                               23.  

 

 

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

24.     

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

COLLEGE ALGEBRA   EXAM 1 LG  Solutions

 

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Dr. Robert J. Rapalje Altamonte Springs Campus
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