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


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SAMPLE TEST QUESTIONS

1999

(Barnett, Ziegler, and Byleen)


Chapter 2       Equations and Inequalities

2.1     linear equations and applications

14.     Solve the following equations for x:
  1.  
    (5)
  2.  
    (5)
  3.  
    (5)

15.     What are the restricted values in the following equations:
  1.  
    (5)
  2.  
    (5)

16.     How many gallons of pure hydrochloric acid must be added to 10 gallons of a 25% solution to obtain a 40% solution?
(10)


17.    A specialty coffee shop wishes to blend a $7-per-pound coffee with a $12-per-pound coffee to produce a blend that sells for $9 per pound. How much of each should be used to produce 100 pounds of the new blend?
(10)


18.     An airliner takes 1.3 times to fly from Paris to New York (3,600 miles) as to return. If the cruising speed is 550 miles per hour in still air, what is the average rate of the wind blowing in the direction of Paris from New York?
(10)


2.2     systems of linear equations and applications

19.     Solve the following system of linear equations. If there is not a unique solution, then write NO SOLUTION.
  1.  
    (10)
  2.  
    (10)
  3.  
    (10)


20.     Suppose you have $10,000 to invest. If part of this is invested at 12% and the rest at 6%, how much should be invested at each rate to yield 10% on the total amount invested?
(10)


2.3 linear inequalities

21.     Solve each of the following inequalities for x and write the solution in inequality notation as well as interval notation and graph the solution:
  1.  
    (5)
  2.  
    (10)
  3.  
    (5)

22.     For the expression to have a real value, what are the restricted values for x in each of the following?
  1.  
    (5)
  2.  
    (5)


2.4     absolute value in equations and inequalities

23.     Solve the following equation for x:
(5)


24.     Solve each of the following inequalities for x and write the solution in inequality notation as well as interval notation and graph the solution:
  1.  
    (10)
  2.  
    (10)

25.     Write an expression that express each of the following:
  1. x is closer than 3 units from 5
    (3)
  2. x is closer than 5 units from -2
    (3)
  3. x is further than 2 units from 1
    (3)


2.5     complex numbers

26.     Perform the indicated operations and write the answer in standard form:
  1.  
    (2)
  2.  
    (2)
  3.  
    (2)
  4.  
    (4)
  5.  
    (2)
  6.  
    (5)


2.6     quadratic equations and applications

27.     Solve each of the following for x:
  1.  
    (10)
  2.  
    (10)
  3.  
    (10)
  4.  
    (10)
  5.  
    (10)
  6.  
    (10)
  7.  
    (10)

28.     Find the base b and the height h of a triangle with an area of 2 square feet if its base is 3 feet longer than its height.
(10)


2.7     equations reducible to quadratic form

29.     Solve each of the following for x:
  1.  
    (10)
  2.  
    (10)
  3.  
    (10)
  4.  
    (10)
  
© 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008 by Lawrence Turner