| |
| |
1. |
Find the value of 5 + 22 - 8 + 3. |
| |
|
A. |
4 |
| |
|
B. |
-4 |
| |
|
C. |
-2 |
| |
|
D. |
2 |
| |
|
Hint |
|
| |
2. |
Solve  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Solve x + 4 > 1 or x - 7 < 6. |
| |
|
A. |
{x | x > -3} |
B. |
{x | x < 13} |
| |
|
C. |
{x | x < -3 or x > 13} |
D. |
all reals |
| |
|
Hint |
|
| |
4. |
The temperature f(x) of water in a lake in degrees Fahrenheit is estimated by the function shown below, where x is the depth in feet of the water. What would be the temperature of water 30 feet below the surface? |
| |
|
 |
| |
|
A. |
111°F |
B. |
71.25°F |
| |
|
C. |
33°F |
D. |
63°F |
| |
|
Hint |
|
| |
5. |
State the solution of the system of equations graphed below. |
| |
|
 |
| |
|
A. |
(3, -1) |
B. |
(0, 3) |
| |
|
C. |
(-1, 3) |
D. |
(3, 1) |
| |
|
Hint |
|
| |
6. |
Solve the system of inequalities by graphing. 
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Solve the system of equations. 
|
| |
|
A. |
(1, -4, 6) |
B. |
(10, -1, 11) |
| |
|
C. |
(7, -2, 1) |
D. |
(13, 0, -4) |
| |
|
Hint |
|
| |
8. |
Find the determinant of  |
| |
|
A. |
-21 |
B. |
0 |
| |
|
C. |
-11 |
D. |
-16 |
| |
|
Hint |
|
| |
9. |
Express 45,280,000 in scientific notation. |
| |
|
A. |
4.528 × 106 |
B. |
45.28 × 106 |
| |
|
C. |
4.528 × 10-7 |
D. |
4.528 × 107 |
| |
|
Hint |
|
| |
10. |
Simplify (18q3r)(2qr4). |
| |
|
A. |
36q3r4 |
B. |
36q3r5 |
| |
|
C. |
36qr |
D. |
36q4r5 |
| |
|
Hint |
|
| |
11. |
Factor 6x3y + 15x2y2 - 3x4y. |
| |
|
A. |
x2y(6x + 15y - 3x2) |
| |
|
B. |
xy(6x2 + 15xy - 3x3) |
| |
|
C. |
3x2y(2x+ 5y - x2) |
| |
|
D. |
3xy(2x2 + 5xy - x3) |
| |
|
Hint |
|
| |
12. |
Solve  |
| |
|
A. |
 |
B. |
5 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Find the product of -15i and its conjugate. |
| |
|
A. |
15i |
B. |
225 |
| |
|
C. |
225i |
D. |
-225 |
| |
|
Hint |
|
| |
14. |
Simplify  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Evaluate  if a = 2, b = 4, and c = -1. |
| |
|
A. |
1 |
B. |
2.4 |
| |
|
C. |
-14 |
D. |
7 |
| |
|
Hint |
|
| |
16. |
Consider the formula F(c) = 1.8c + 32, where c is the temperature in degrees Celsius and F(c) is the temperature in degrees Fahrenheit. If it is 0° C at the beginning of the day, and it is 11° C at noon, what was the change in temperature in degrees Fahrenheit? |
| |
|
A. |
-12.2 |
B. |
51.8 |
| |
|
C. |
19.8 |
D. |
11 |
| |
|
Hint |
|
| |
17. |
Solve the system of equations 3x – 5y = 4
–2x + 4y = 3. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5? |
| |
|
A. |
infinite |
B. |
no solution |
| |
|
C. |
(2, 2, 1) |
D. |
(2, 2, –2) |
| |
|
Hint |
|
| |
19. |
Express the result in scientific notation.  |
| |
|
A. |
1.25 × 1010 |
B. |
1.25 × 104 |
| |
|
C. |
1.25 × 10-10 |
D. |
1.25 × 10-4 |
| |
|
Hint |
|
| |
20. |
Simplify:  if  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
Cannot be simplified further. |
| |
|
Hint |
|
|
|