COLLEGE ALGEBRA
MATH 110
Southwestern   
Adventist University 
 
   Distance Education Lawrence E. Turner, Jr., Ph.D.  


course syllabus

assignments

materials


request a test

proctor form

grade report form



MATH 110 home

Turner home

ADP Home

 
SAMPLE TEST QUESTIONS

1999

(Barnett, Ziegler, and Byleen)



Chapter 1       Basic Algebra Operations

1.1     algebra and real numbers

1.     Perform the indicated operations on each of the following and write the result as simply as possible:
  1.  
    (2)
  2.  
    (2)
  3.  
    (5)
  4.  
    (5)

2.     Classify each of the following values into one or more of the sets:
    N natural numbers
    Z integer numbers
    Q rational numbers
    R real numbers
        List all sets that these belong to:
  1.  
    (2)
  2.  
    (2)
  3.  
    (2)
  4.  
    (2)
  5.  
    (2)

3.     The number sets are:
    N natural numbers
    Z integer numbers
    Q rational numbers
    R real numbers
        Which of these are closed under the following arithmetic operations? Include all the sets that are closed. If none of the above sets are closed, then write NONE.
  1. addition
    (3)
  2. subtraction
    (3)
  3. division
    (3)
  4. multiplication
    (3)
  5. square root of a positive quantity
    (3)


1.2     polynomials

4.     Perform the indicated operations and simplify:
  1.  
    (10)
  2.  
    (10)
  3.  
    (10)
  4.  
    (5)
  5.  
    (5)
  6.  
    (10)


1.3     factoring

5.     What are the prime factors of each of the following? If the value is prime, then write PRIME.
  1. 42
    (2)
  2. 180
    (3)
  3. 89
    (2)
  4. 1540
    (3)
  5. 360
    (2)
  6. 666
    (3)

6.     Factor completely relative to the integers. If the expression is prime, then write PRIME.
  1.  
    (10)
  2.  
    (10)
  3.  
    (10)
  4.  
    (10)
  5.  
    (10)
  6.  
    (10)
  7.  
    (10)


1.4     rational expressions

7.     Reduce the fraction to lowest terms:
  1.  
    (10)
  2.  
    (10)
  3.  
    (10)

8.     Simplify:
  1.  
    (10)
  2.  
    (10)

9.     Express as a simple fraction reduced to lowest terms:
  1.  
    (10)
  2.  
    (10)


1.5     integer exponents

10.     Perform the indicated operation (division) and simplify:
  1.  
    (5)
  2.  
    (5)
  3.  
    (5)


1.6     rational exponents

11.     Simplify using positive exponents only:

  1.  
    (5)
  2.  
    (5)
  3.  
    (5)


1.7     radicals

12.     Simplify:
  1.  
    (5)
  2.  
    (5)
  3.  
    (5)
  4.  
    (5)

13.     Rationalize the denominator:
  1.  
    (10)
  2.  
    (10)
  3.  
    (10)
  4.  
    (10)
  
© 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008 by Lawrence Turner