| |
| |
1. |
The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
None of these. |
D. |
 |
| |
|
Hint |
|
| |
2. |
What type of relationship or pattern does the scatter plot suggest? |
| |
|
 |
| |
|
A. |
none of these |
B. |
a linear relationship whose data have a positive relationship |
| |
|
C. |
no pattern |
D. |
a linear relationship whose data have a negative relationship |
| |
|
Hint |
|
| |
3. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
The roots of the equation x2 - 8x - 20 = 0 are ____. |
| |
|
A. |
2 and -10 |
B. |
-2 and 10 |
| |
|
C. |
-2 and -10 |
D. |
2 and 10 |
| |
|
Hint |
|
| |
5. |
Solve  = 3. |
| |
|
A. |
3 |
B. |
2, 3 |
| |
|
C. |
-1 |
D. |
2 |
| |
|
Hint |
|
| |
6. |
Find the value of  for an angle  in standard position if a
point with coordinates (-12, 5) lies on its terminal side. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Determine the angular displacement in radians of 11.3 revolutions. Round to the nearest tenth. |
| |
|
A. |
71.0 radians |
B. |
35.5 radians |
| |
|
C. |
1.8 radians |
D. |
3.6 radians |
| |
|
Hint |
|
| |
8. |
Solve the equation cos 2x = sin x for 0° x < 360°. |
| |
|
A. |
30°, 150°, 270° |
B. |
30°, 210°, 270° |
| |
|
C. |
90°, 150°, 270° |
D. |
30°, 90°, 150° |
| |
|
Hint |
|
| |
9. |
Find the distance between the points with the polar coordinates P1(3, 160°) and P2(5, 100°). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
A coin is flipped six times. Find the number of possible sets of heads and tails that have at least 5 heads. |
| |
|
A. |
5 |
B. |
1 |
| |
|
C. |
6 |
D. |
7 |
| |
|
Hint |
|
| |
11. |
The amount of fiber measured in grams in selected seven-grain products is 4, 10, 7, 7, 4, 1, and 1. Find the range of the data. |
| |
|
A. |
8 |
B. |
9 |
| |
|
C. |
10 |
D. |
7 |
| |
|
Hint |
|
| |
12. |
Find the x- and y-intercepts of the equation:  |
| |
|
A. |
x-intercept –2; y intercept 5 |
B. |
x-intercept –5; y-intercept 2 |
| |
|
C. |
x-intercept 5; y-intercept -2 |
D. |
x-intercept 2; y-intercept 5 |
| |
|
Hint |
|
| |
13. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
| |
|
A. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
| |
|
B. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
| |
|
C. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
| |
|
D. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
| |
|
Hint |
|
| |
14. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Evaluate  if  and  . |
| |
|
A. |
-39 |
B. |
21 |
| |
|
C. |
44 |
D. |
60 |
| |
|
Hint |
|
| |
16. |
Write parametric equations for y = 7x - 2. |
| |
|
A. |
x = t and y = 7t - 2 |
B. |
x = t and y =  |
| |
|
C. |
x =  and y = -2 |
D. |
x = 7t and y = -2 |
| |
|
Hint |
|
| |
17. |
Write the equation 7x - 2y = 2 in polar form. |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
18. |
Write the equation of a parabola with vertex at (4, -3) and
focus at (4, 0). |
| |
|
A. |
(y - 4) 2 = 12(x + 3) |
| |
|
B. |
(y - 4) 2 = 3(x + 3) |
| |
|
C. |
(x - 4) 2 = 12(y + 3) |
| |
|
D. |
(x - 4) 2 = 3(y + 3) |
| |
|
Hint |
|
| |
19. |
The Consumer Prime Index between 1950 and 1966 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2013. |
| |
|
A. |
331.6 |
B. |
20.0 |
| |
|
C. |
516.0 |
D. |
27.1 |
| |
|
Hint |
|
| |
20. |
The mean of a set of normally distributed data is 65 and the standard deviation is 13. Find the value that defines the 75th percentile. |
| |
|
A. |
74.1 |
B. |
75.8 |
| |
|
C. |
72.6 |
D. |
75 |
| |
|
Hint |
|
|
|