Lesson Basic Algebra Factoring, Quadratic Equations, Laws of Exponents,

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This Lesson (Basic Algebra Factoring, Quadratic Equations, Laws of Exponents,) was created by by rapaljer(2773) About Me : View Source, Show
About rapaljer: Retired Professor of Mathematics from Seminole Community College after 36 years.

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BASIC ALGEBRA EXAM 2 RR    NAME _____________________

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

TURN IN ALL WORKSHEETS. CALCULATORS ARE PERMITTED ON THIS TEST.

In 1 - 7, multiply the expressions:

 1.  7(2x + 5)                               2.  –4x(3x - 5)                                   3.  (x + 2)(x + 5)

 

 4.  (x – 5y)(x + 5y)                                               5.  (2x + 3)(x - 6)

 

 6.  (2x + 5)2                                                        7.  (x - 2)(x2 - 3x + 7)

 

In 8 - 21, factor completely.

8.  ax - ay                                   9.   3x2 + 6x                                   10.  x2 - 2x - 8

 

11.  x2 + 13x + 30                    12.  x2 + x - 30                                 13.   x2 - 36

 

14.  x2 + 20x + 36                    15.   3x2 - 8x + 5                              16.   3x2 + 23x + 14

 

17.  3x3 + 12x2 + 9x                18.   x4 - 16                                      19.  x4 - 13x2 + 36

 

 

20.  ax + bx + 4a + 4b               21.    x3 - 2x2 - 25x + 50

 

 

In 22 - 27, solve for x.

22.  (x - 9)(x + 4) = 0                 23.    x2 - 7x = 0

 

 

24.   x2 - 2x – 15 = 0                 25.   x(x + 5) = 24

 

 

26.  x2 = 3 + 2x                         27.   3x2 – 27x + 60 = 0

 

 

28-29. According to the Theorem of a) __________, where a and b are b) ________ and c is the c) __________, it may be concluded that d) ____________.

 

In 30 – 33, find the value of x. Round to nearest hundredth if necessary.

[NOTE:  These are supposed to be triangles, but I'm having trouble with pictures in html!!  Sorry!  You'll have to draw your own triangles!]

30.  Find x:                               31.  Find x:                                      32.   Find x

 (Legs: x and 5; Hyp 13)        (Legs: 6 and 8, Hyp x)                   (Legs: 8 and 5, Hyp x)

  

 

33. Find the width of a rectangle whose diagonal is 37 and whose length is 35.

 

 

In 34 - 47, simplify using the laws of exponents. Eliminate all negative and zero exponents.

34.   x6·x3                  35.                     36.   (x3)4                37.    

 

38.   4x0                     39.   (4x)-1                40.   4x-1                  41.     (4x)-2

 

42.                      43.                   44.  

 

 

45.                  46.               47.       

 

 

In 48 - 51, express answers in scientific notation.

48.    0.000235                                 49.     420,000,000  

 

In 50 – 51, calculate (with or without a calculator).  Give answers in scientific notation.

 50.   500,000 • 8,000,000                 51.      

 

 

 

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BASIC ALGEBRA EXAM 2 RR   Solutions

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Dr. Robert J. Rapalje Altamonte Springs Campus
Contact me at:   rapaljer@scc-fl.edu
Phone number:  NONE Retired!!
OFFICE:          NONE  
Copyright © Seminole Community College, 1997



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