| |
| |
1. |
State the slope and y-intercept of the graph of -y = -0.9x + 4. |
| |
|
A. |
m = 0.9, b = -4 |
B. |
m = 4, b = -0.9 |
| |
|
C. |
m = -4, b = 0.9 |
D. |
m = -0.9, b = 4 |
| |
|
Hint |
|
| |
2. |
Write an equation of the line that passes through (10,-4) and is perpendicular to the line whose equation is  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
The system of equations on the graph shown is |
| |
|
 |
| |
|
A. |
consistent and independent. |
| |
|
B. |
inconsistent. |
| |
|
C. |
consistent and dependent. |
| |
|
D. |
consistent. |
| |
|
Hint |
|
| |
4. |
Solve the system of equations by using substitution. 
|
| |
|
A. |
(4, 9) |
B. |
(3, 7) |
| |
|
C. |
(1, 3) |
D. |
(5, 11) |
| |
|
Hint |
|
| |
5. |
Use the substitution method to solve m - n = 7 and 3m + 2n = 6. |
| |
|
A. |
 |
B. |
(-5, 2) |
| |
|
C. |
(4, -3) |
D. |
(-3, -10) |
| |
|
Hint |
|
| |
6. |
Solve the system of equations by using the elimination method. 
|
| |
|
A. |
(4, 2) |
B. |
(12, -2) |
| |
|
C. |
(34, -13) |
D. |
(2, 3) |
| |
|
Hint |
|
| |
7. |
The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. In approximately what year did the same percent of men and women receive bachelor's degrees? |
| |
|
A. |
1995 |
B. |
1980 |
| |
|
C. |
1985 |
D. |
1990 |
| |
|
Hint |
|
| |
8. |
What is the solution of the system of inequalities? 
|
| |
|
 |
| |
|
A. |
 |
B. |
region 3 |
| |
|
C. |
region 1 |
D. |
region 2 |
| |
|
Hint |
|
| |
9. |
Find the value of 63. |
| |
|
A. |
729 |
| |
|
B. |
18 |
| |
|
C. |
216 |
| |
|
D. |
36 |
| |
|
Hint |
|
| |
10. |
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. Which inequality is not part of the system of inequalities that represents the problem? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
11. |
Determine which point is a solution to the system of inequalities by graphing.
 |
| |
|
A. |
(0, 7) |
B. |
(5, 6) |
| |
|
C. |
(3, 2) |
D. |
no solution |
| |
|
Hint |
|
| |
12. |
A rental car company charges $75 for a 3-day rental and $155 for a 7-day rental. Write an equation to find the amount that the rental car company will charge for any number of days. |
| |
|
A. |
y = 80x – 165 |
B. |
y = 20x + 15 |
| |
|
C. |
y = 80x |
D. |
y = 20x |
| |
|
Hint |
|
| |
13. |
Write the slope-intercept form of an equation for a line perpendicular to the graph of y = -3x + 5 and passes through the x-intercept of that line. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Find the slope of the line below. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Write the equation of the line through (5, -3) and (-2, -8) in slope-intercept form. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Which of the following systems of equations is not consistent and independent? |
| |
|
A. |
7y + x = 9 3y + 9x = 4 |
| |
|
B. |
y + 4x = 10 6y + 24x = 60 |
| |
|
C. |
–y – 5x = 1 4y + 3x = 8 |
| |
|
D. |
2y + 4x = 3 7y + 5x = 18 |
| |
|
Hint |
|
| |
17. |
Solve  by the method of determinants. |
| |
|
A. |
(1, -1, 2) |
B. |
(2, -2, 1) |
| |
|
C. |
(2, -1, -2) |
D. |
(-1, 1, -2) |
| |
|
Hint |
|
| |
18. |
Two sides of an angle are contained in lines whose equations are  and  Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
| |
|
A. |
(1.89, 3.26) |
B. |
(1.78, -1.16) |
| |
|
C. |
(2.76, 3.16) |
D. |
(1.79, 1.06) |
| |
|
Hint |
|
|
|