Name: 
 

Chapter 8 Pre Test



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Select the graphs of the equations mc001-1.jpg and approximate any solutions of the system of linear equations.
a.
mc001-2.jpg

mc001-3.jpg
d.
infinitely many solutions

mc001-8.jpg
b.
mc001-4.jpg

mc001-5.jpg
e.
no solution

mc001-9.jpg
c.
mc001-6.jpg

mc001-7.jpg
 

 2. 

Find the system of linear equations below that has the solution mc002-1.jpg

mc002-2.jpg, mc002-3.jpg, mc002-4.jpg, mc002-5.jpg, mc002-6.jpg
a.
mc002-7.jpg
b.
mc002-8.jpg
c.
mc002-9.jpg
d.
mc002-10.jpg
e.
mc002-11.jpg
 

 3. 

A small company produces bird feeders that sell for mc003-1.jpg per unit. The cost of producing each unit is mc003-2.jpg, and the company has fixed costs of mc003-3.jpg. Let the cost function mc003-4.jpg be the total cost to produce x bird feeders and let the revenue function mc003-5.jpg be the total revenue from selling x bird feeders. Graph the cost and revenue function and find the point of intersection of the graphs.
a.
mc003-6.jpg
mc003-7.jpg
d.
mc003-12.jpg
mc003-13.jpg
b.
mc003-8.jpg
mc003-9.jpg
e.
mc003-14.jpg
mc003-15.jpg
c.
mc003-10.jpg
mc003-11.jpg
 

 4. 

If possible, solve the system below by the method of elimination. Use the graph to check the solution.

mc004-1.jpg

mc004-2.jpg
a.
mc004-3.jpg
b.
mc004-4.jpg
c.
mc004-5.jpg
d.
mc004-6.jpg
e.
mc004-7.jpg
 

 5. 

If possible, solve the system below by the method of elimination.

mc005-1.jpg
a.
mc005-2.jpg
b.
mc005-3.jpg
c.
mc005-4.jpg
d.
mc005-5.jpg
e.
mc005-6.jpg
 

 6. 

You invest a total of mc006-1.jpg in two investments earning mc006-2.jpg and mc006-3.jpg simple interest. (There is more risk in the mc006-4.jpg fund.) Your goal is to have a total annual interest income of  mc006-5.jpg. The system of equations that represents this situation is

mc006-6.jpg

where x represents the amount invested in the mc006-7.jpg fund and y represents the amount invested in the mc006-8.jpg fund. Solve this system to determine the smallest amount that you can invest at mc006-9.jpg in order to meet your objective.
a.
mc006-10.jpg
b.
mc006-11.jpg
c.
mc006-12.jpg
d.
mc006-13.jpg
e.
mc006-14.jpg
 

 7. 

Solve the system of linear equations below.

mc007-1.jpg
a.
mc007-2.jpg
b.
mc007-3.jpg
c.
mc007-4.jpg
d.
mc007-5.jpg
e.
mc007-6.jpg
 

 8. 

Solve the system of linear equations below.

mc008-1.jpg
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
e.
mc008-6.jpg
 

 9. 

Solve the system of linear equations below.

mc009-1.jpg
a.
mc009-2.jpg
b.
mc009-3.jpg
c.
mc009-4.jpg
d.
mc009-5.jpg
e.
mc009-6.jpg
 

 10. 

Find the position equation mc010-1.jpg for an object that has distance mc010-2.jpg at mc010-3.jpg second, mc010-4.jpg at mc010-5.jpg seconds, and mc010-6.jpg at mc010-7.jpg seconds.
a.
mc010-8.jpg
b.
mc010-9.jpg
c.
mc010-10.jpg
d.
mc010-11.jpg
e.
mc010-12.jpg
 

 11. 

The sum of the measures of two angles of a triangle is mc011-1.jpg the measure of the third angle. The measure of the second angle is mc011-2.jpg mc011-3.jpg than the measure of the third angle. Find the measures of the three angles.
a.
The first angle is mc011-4.jpg, the second angle is mc011-5.jpg, and the third angle is mc011-6.jpg.
b.
The first angle is mc011-7.jpg, the second angle is mc011-8.jpg, and the third angle is mc011-9.jpg.
c.
The first angle is mc011-10.jpg, the second angle is mc011-11.jpg, and the third angle is mc011-12.jpg.
d.
The first angle is mc011-13.jpg, the second angle is mc011-14.jpg, and the third angle is mc011-15.jpg.
e.
The first angle is mc011-16.jpg, the second angle is mc011-17.jpg, and the third angle is mc011-18.jpg.
 

 12. 

Write the system of linear equations represented by the augmented matrix below. Use variables x, y, z, v, and w.

  mc012-1.jpg
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
mc012-4.jpg
d.
mc012-5.jpg
e.
mc012-6.jpg
 

 13. 

Describe the elementary row operation used to transform the first matrix

  mc013-1.jpg into the second matrix mc013-2.jpg.
a.
Add mc013-3.jpg times the third row to the second row.
b.
Add mc013-4.jpg times the second row to the third row.
c.
Add mc013-5.jpg times the third row to the second row.
d.
Add mc013-6.jpg times the second row to the third row.
e.
Add mc013-7.jpg times the second row to the third row.
 

 14. 

Solve for mc014-1.jpg in the matrix below by using elementary row operations to form a row-equivalent matrix.

  mc014-2.jpg
  mc014-3.jpg
a.
mc014-4.jpg
b.
mc014-5.jpg
c.
mc014-6.jpg
d.
mc014-7.jpg
e.
mc014-8.jpg
 

 15. 

Find the determinant of the matrix below.

mc015-1.jpg
a.
mc015-2.jpg
b.
mc015-3.jpg
c.
mc015-4.jpg
d.
mc015-5.jpg
e.
mc015-6.jpg
 

 16. 

Determine whether the points mc016-1.jpg,mc016-2.jpg, and mc016-3.jpg are collinear.
a.
The points are not collinear.
b.
The points are collinear.
 

 17. 

Use a determinant to find the equation of the line through the points mc017-1.jpg and mc017-2.jpg.
a.
mc017-3.jpg
b.
mc017-4.jpg
c.
mc017-5.jpg
d.
mc017-6.jpg
e.
mc017-7.jpg
 

 18. 

Determine if the ordered pair mc018-1.jpg is a solution of the system of linear inequalities mc018-2.jpg.
a.
not a solution
b.
solution
 

 19. 

Graph the system of linear inequalities below.

mc019-1.jpg
a.

mc019-2.jpg
d.

mc019-5.jpg
b.

mc019-3.jpg
e.

mc019-6.jpg
c.

mc019-4.jpg
 

 20. 

Graph the system of linear inequalities below.

mc020-1.jpg
a.

mc020-2.jpg
d.

mc020-5.jpg
b.

mc020-3.jpg
e.

mc020-6.jpg
c.

mc020-4.jpg
 



 
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