Question 1
Question text
Solve the equation:
Select one:
A.
x = 2
B.
x = -2
C.
x = -12/5
D.
x = 4
E.
x = 12
Question 2
Solve the equation:
Select one:
A.
{2 , 6}
B.
{-2}
C.
{2}
D.
{1}
E.
No solution.
Question 3
Write the number: in decimal notation without exponents.
Select one:
A.
0.000625
B.
-0.000625
C.
0.00625
D.
62.50
E.
625.
Question 4
Question text
The graph shows the percentage of American medical school graduates who were male, and who were female, for the years 1961 to 2009.
Let f be the percentage of graduates who were male, and let g be the percentage of graduates who were female.
Find and interpret (1976) .
Select one:
A.
Approximately 80% of the graduates in 1976 were male.
B.
There are more male than female graduates for the entire domain of the function.
C.
Approximately 20% of the 1976 graduates were female.
D.
Approximately four times as many men as women graduated in 1976.
E.
Approximately twice as many men as women graduated in 1976.
Question 5
The weekly profit of a custom surfboard manufacturer, in dollars, is given by the quadratic function: P(x) = -4×2 + 400x – 3600. Find the number of boards that will maximize weekly profit, and find the maximum weekly profit.
Select one:
A.
30 boards ; $4800 profit
B.
40 boards ; $6000 profit
C.
50 boards ; $6400 profit
D.
50 boards ; $26400 profit
E.
None of the above.
Question 6
AC(x) = gives the average per unit cost, in dollars, for producing a small calculator. As the number of calculators produced gets very large, the average per unit cost will approach:
Select one:
A.
$30,000/x
B.
$3/x
C.
$3x
D.
$3
E.
Can’t be determined from the info given.
Question 7
Solve:
Select one:
A.
(-2 , 1)
B.
(-2 , 1]
C.
(-1 , 1]
D.
(-2 , 2]
E.
[-2 , 1)
Question 8
Write the slope-intercept form of a linear equation that has a slope of 3 and passes through the point (2 , -5).
Select one:
A.
y = 3x + 1
B.
y = 3x -11
C.
y = 2x + 1
D.
y = 3x – 13
E.
None of the above.
Question 9
The graph below shows the total dollar cost, y [vertical axis], to rent a piece of farm equipment for x[horizontal axis] days. Which statement A – E below is the correct interpretation of the slope of the line?
Select one:
A.
It costs $400. to rent the equipment for 4 days.
B.
It costs an additional $50. to rent the equipment for each one additional day.
C.
There’s a $200. rental charge even before the charge for daily rental is calculated.
D.
Calculating the rent on a daily basis, it’s cheaper to rent the equipment for eight days than it is for four days.
E.
Time rented increases by 0.02 days per additional $1. spent.
Question 10
If a 275-mile car trip requires 11 gallons of gas, how many gallons of gas does a 950-mile car trip require?
Select one:
A.
25
B.
83
C.
38
D.
40
E.
33
Question 11
The amount of time it takes a swimmer to finish a race is inversely proportional to the average speed of the swimmer. The swimmer finishes a race in 300 seconds with an average speed of 4 feet per second. Find the average speed of the swimmer if it takes 400 seconds to finish the race.
Select one:
A.
2 feet per second
B.
3 feet per second
C.
4 feet per second
D.
5 feet per second
E.
None of the above
Question 12
The price of a used car is reduced by 20%. When the car still doesn’t sell, the reduced price is cut by 20%. If the car sells for $4800 after both reductions, what was the original price? [Round off to the nearest dollar.]
Select one:
A.
$8000
B.
$7500
C.
$6912
D.
$6720
E.
None of the above.
Question 13
Solve the equation:
Select one:
A.
{0}
B.
{1}
C.
{2}
D.
{3}
E.
No solution.
Question 14
A home entertainment system costs $4266.00 after 8% tax. What was the price before tax? Round off to the nearest dollar.
Select one:
A.
$3925.
B.
$4637.
C.
$4158.
D.
$3950.
E.
None of the above.
Question 15
Which statement A-D about polynomial functions is NOT true?
Select one:
A.
The degree of a polynomial function can be positive or negative but not zero.
B.
The graph of a degree polynomial function turns around at most times.
C.
A polynomial of degree has roots, counting multiple roots separately.
D.
All polynomial functions of degree 2 or higher have smooth and continuous graphs.
E.
All four of the above statements are true.
Question 16
You need to receive $9000.00 annual interest from an investment paying 7.5% annual interest. How much money must you invest to receive the necessary interest?
Select one:
A.
$100,000.00
B.
$75,000.00
C.
$90,000.00
D.
$120,000.00
E.
None of the above.
Question 17
Simplify completely:
Select one:
A.
0
B.
C.
D.
E.
Question 18
Which of the following statements A-D about logs is NOT true?
Select one:
A.
B.
C.
D.
E.
All four of the above statements are true.
Question 19
What is the slope of a line that is parallel to the line given by the function: y = 4x + 3
Select one:
A.
-4
B.
4
C.
3
D.
1
E.
None of the above.
Question 20
The half-life of iodine-131 is 7.2 days.
If you start with 80 milligrams of iodine-131, how much of the substance will remain after 36 days?
Select one:
A.
40 milligrams
B.
5 milligrams
C.
10 milligrams
D.
2.5 milligrams
E.
Can’t be determined from the information given.
Question 21
$800 is deposited in a bank account which is compounded continuously at 8.5% annual interest rate. The future balance of the account is given by the function: . How long will it take for the initial deposit to double? Round off to the nearest tenth of a year.
Select one:
A.
2.7 years
B.
3 years
C.
8.2 years
D.
8.5 years
E.
9 years
Question 22
Solve the system of equations by the method of your choice.
Select one:
A.
x = 6, y = 2
B.
x = -6, y = 3
C.
x = -6, y = -2
D.
x = 6, y =-2
E.
No solution.
Question 23
Solve the system:
Select one:
A.
{(-5, -4), (-4, -5)}
B.
{(5, -4), (4, -5)}
C.
{(-5, 4), (-4, 5)}
D.
{(5, 4), (-5, -4)}
E.
{(5, 4), (4, 5)}
Question 24
Birds from an endangered species are released into a nature preserve. The number of birds in the preserve after t years is given by the logistic growth function: P(t) =
How many birds were initially released? Note: “Initially” means when t = 0.
Select one:
A.
2
B.
10
C.
100
D.
1000
E.
Can’t be determined from the info given.
Question 25
Surefire Shed Co. produces three different models of metal storage shed, which are identified by their color: black, red, or green. Each shed must be stamped, painted, and packaged. The table below shows the number of hours required for each process for each shed model. Each month, 3200 hours are available for stamping, 1700 hours for painting, and 1300 hours for packaging. If all available hours are used, how many of each shed model can be produced in a month?
Black Red Green
Stamping 2 3 4
Painting 1 2 1
Packaging 1 1 2
Select one:
A.
400 black, 500 red, 200 green
B.
300 black, 600 red, 200 green
C.
300 black, 400 red, 400 green
D.
200 black, 700 red, 200 green
E.
None of the above.
Question 26
Solve the problem:
6x + 5y = 2
5x + y =- 11
Select one:
a.
{(- 3, 4)}
b.
{(4, – 3)}
c.
{(-4, – 3)}
d.
{(- 3, – 4)}
e.
None of the above
Question 27
Write the matrix equation as a system of linear equations without matrices.
Select one:
a.
2x + 5y + 7z = – 2
9x + 8y = 4
4x + y + 9z = -2
b.
2x + 5y + 7z = – 2
9x + 8y = 4
4x + 9z = 2
c.
2x – 5y + 7z = – 2
9x + 8z = – 4
4x + 9y = – 2
d.
2x + 5y + 7z =- 2
9x + 8z = 4
4x + 9z = 2
e.
2x + 5y + 7z = – 2
9x + 8z = 4
4x + 9y = 2
Question 28
Evaluate the determinant
Select one:
a.
-2
b.
0
c.
2
d.
1/7
e.
149/70