| |
| |
1. |
Determine which matrix has a determinant. |
| |
|
A. |
 |
B. |
[1 -4 -8] |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Three out of the four equations listed below are equations of lines that are parallel to each other. Which equation does not have a graph that is a line parallel to the other three? |
| |
|
A. |
 |
| |
|
B. |
8y = - 6x |
| |
|
C. |
 |
| |
|
D. |
3x + 4y = -16 |
| |
|
Hint |
|
| |
3. |
Use substitution to solve the system of equations given below. y = 2x 5x - y = -24 |
| |
|
A. |
(-8, -16) |
B. |
no solution |
| |
|
C. |
(-4, -8) |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
4. |
Use substitution to solve the system of equations given below. 8x - 4y = 16 2x - y = 4 |
| |
|
A. |
(0, -4) |
B. |
(2, 0) |
| |
|
C. |
infinitely many solutions |
D. |
no solution |
| |
|
Hint |
|
| |
5. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
| |
|
A. |
(10, 26) |
B. |
(14, 22) |
| |
|
C. |
(30, 6) |
D. |
(42, 6) |
| |
|
Hint |
|
| |
6. |
Use elimination to solve the system of equations given below. 3x + 4y = -12 x - y = 10 |
| |
|
A. |
(28, 18) |
B. |
(4, -6) |
| |
|
C. |
(52, 42) |
D. |
(-4, -14) |
| |
|
Hint |
|
| |
7. |
Which system of inequalities is graphed below? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Which system of equations is shown in the graph? |
| |
|
 |
| |
|
A. |
x - 3y = -13 x + y = 1 |
B. |
2x - 6y = 1 7x + 4y = -2 |
| |
|
C. |
3x - y = 1 x + 2y = 12 |
D. |
2x + y = 9 x - y = 6 |
| |
|
Hint |
|
| |
9. |
Use the graph below to determine if the given system of equations has one solution, no solution, or infinitely many solutions. If the system has one solution, name it.
 |
| |
|
 |
| |
|
A. |
infinitely many solutions |
B. |
one solution at  |
| |
|
C. |
no solution |
D. |
one solution at (-6, 0) |
| |
|
Hint |
|
| |
10. |
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 |
|
| |
11. |
Solve the system –2x – 4y = 7, 3x + 5y = 9. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
(71, –39) |
D. |
 |
| |
|
Hint |
|
| |
12. |
Which point is in the solution set of and  |
| |
|
A. |
(-4, 6) |
B. |
(2, 1) |
| |
|
C. |
(3, 4) |
D. |
(-1, -5) |
| |
|
Hint |
|
| |
13. |
A geometrical representation of a map is called a ______?______. |
| |
|
A. |
pattern |
B. |
chart |
| |
|
C. |
directed graph |
D. |
coordinate plane |
| |
|
Hint |
|
| |
14. |
Which city has exactly two ways in which supplies can be transferred from other cities? |
| |
|
 |
| |
|
A. |
Worcester |
B. |
Providence |
| |
|
C. |
Boston |
D. |
Lowell |
| |
|
Hint |
|
|
|