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OSM 500 Section 501 Spring 2015 Exam 3
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Perform the indicated operations and simplify the expression.
a.
b.
c.
d.
e.
____
2. Factor the polynomial. If the polynomial is prime, state it.
a.
b.
c.
d.
e. prime
____
3. Perform the indicated operation and simplify.
a.
b.
c.
d.
e.
____
4. Rewrite the number without using exponents.
a.
b.
c.
d.
e.
____
5. Rewrite the number without radicals or exponents.
a.
b.
c.
d.
e.
____
6. Solve the equation.
a.
b.
c.
d.
e.
____
7. Find an equation of the line that passes through the point (2, - 4) and has the slope m = 3.
a.
b.
c.
d.
e.
____
= 3x - 4
= 3x - 10
= 3(x + 2) - 4
- 3x = 10
= 3
8. Find an equation of the line that passes through the points (1, 6) and (- 7, - 2)
a.
b.
c.
d.
e.
____
y
y
y
y
y
y
y
y
y
y
=
=
=
=
=
5x
7x + 7
5x - 7
x + 5
5x - 5
9. Find the break-even point for the firm whose cost function C and revenue function R are given.
C(x) = 14x + 9000 ;
R(x) = 23x
a. For a break-even operation, the firm should manufacture 10000 units of its product,
resulting in a break-even revenue of $23,000.
b. For a break-even operation, the firm should manufacture 1000 units of its product,
resulting in a break-even revenue of $23,000.
c. For a break-even operation, the firm should manufacture 10000 units of its product,
resulting in a break-even revenue of $11,500.
d. For a break-even operation, the firm should manufacture 1000 units of its product,
resulting in a break-even revenue of $11,500.
e. For a break-even operation, the firm should manufacture 1500 units of its product,
resulting in a break-even revenue of $46,000.
____ 10. Simplify the expression.
a.
b.
c.
d.
e.
____ 11. Solve the equation for x.
a.
b.
c.
d.
e.
____ 12. Use the laws of logarithms to simplify the expression.
a.
b.
c.
d.
e.
____ 13. Use logarithms to solve the equation for t.
Please round the answer to four decimal places.
a.
b.
c.
d.
e.
____ 14. Find the simple interest on a $450 investment made for 2 yr at an interest rate of 7%/year. What is the
accumulated amount?
a.
b.
c.
d.
e.
Simple interest = $63;
Simple interest = $68;
Simple interest = $63;
Simple interest = $58;
Simple interest = $70;
Accumulated amount = $513
Accumulated amount = $513
Accumulated amount = $518
Accumulated amount = $513
Accumulated amount = $508
____ 15. How long will it take an investment of $5100 to double if the investment earns interest at the rate of 9%
compounded continuously?
Please round your answer to two decimal places.
a.
b.
c.
d.
e.
7.70 yr
8.66 yr
6.93 yr
6.53 yr
8.76 yr
____ 16. Georgia purchased a house in 1997 for $190000. In 2001 she sold the house and made a net profit of $47000.
Find the effective annual rate of return on her investment over the 4-yr period.
Please round the answer to the nearest tenth of percent.
a.
b.
c.
d.
5.2%/yr
5.7%/yr
6.8%/yr
5.5%/yr
e. 4.3%/yr
____ 17. If a merchant deposits $2,100 annually at the end of each tax year in an IRA account paying interest at the
rate of 8%/year compounded annually, how much will she have in her account at the end of 20 yr?
a.
b.
c.
d.
e.
____ 18. Find the amount (future value) of the ordinary annuity.
$200/month for
yr at 9%/year compounded monthly.
Please round the answer to the nearest cent.
a.
b.
c.
d.
e.
____ 19. Find the present value of the ordinary annuity.
$2,000 per semiannual period for 6 yr at 14%/year compounded semiannually.
Please round the answer to the nearest cent.
a.
b.
c.
d.
e.
____ 20. Pierce Publishing sells encyclopedias under two payment plans: cash or installment. Under the installment
plan, the customer pays $25/month over 3 yr with interest charged on the balance at a rate of 17%/year
compounded monthly. Find the cash price for a set of encyclopedias if it is equivalent to the price paid by a
customer using the installment plan.
Please round the answer to the nearest cent.
a.
b.
c.
d.
e.
$791.11
$755.38
$559.66
$701.21
$633.78
____ 21. Find the periodic payment
required to accumulate a sum of
the rate of
compounded times a year.
dollars over
years with interest earned at
a.
b.
c.
d.
e.
____ 22. Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or
no solution. Find all solutions whenever they exist.
a.
b.
c.
d.
e.
one and only one solution
one and only one solution
one and only one solution
infinitely many solutions
no solution
____ 23. Solve the linear system of equations.
a. Unique solution:
b. Unique solution:
c. Unique solution:
d. Infinitely many solutions;
e. No solution
____ 24. Write the augmented matrix corresponding to the given system of equations.
a.
d.
b.
e.
c.
____ 25. Solve the system of linear equations, using the Gauss-Jordan elimination method.
a.
b.
c.
d.
e.
____ 26. Solve the system of linear equations, using the Gauss-Jordan elimination method.
a.
,
,
b.
,
,
c.
,
,
d.
,
e. no solution
,
____ 27. Perform the indicated operations.
a.
d.
b.
e.
c.
____ 28. Solve for u, x, y, and z in the matrix equation.
a.
b.
c.
d.
e.
____ 29. Find the transpose of the given matrix.
a.
d.
b.
e.
c.
____ 30. Compute the product.
a.
d.
b.
e.
c.
____ 31. Compute the product.
a.
d.
b.
e.
c.
____ 32. Write the system of linear equations in matrix form.
a.
d.
b.
e.
c.