| |
| |
1. |
Determine which matrix has a determinant. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
[1 -4 -8] |
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. |
3x + 4y = -16 |
| |
|
B. |
8y = - 6x |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
3. |
Which pair of lines graphed below are parallel? |
| |
|
 |
| |
|
A. |
k and n |
B. |
k and m |
| |
|
C. |
l and n |
D. |
l and m |
| |
|
Hint |
|
| |
4. |
Use substitution to solve the system of equations given below. 8x - 4y = 16 2x - y = 4 |
| |
|
A. |
(2, 0) |
B. |
no solution |
| |
|
C. |
infinitely many solutions |
D. |
(0, -4) |
| |
|
Hint |
|
| |
5. |
Use substitution to solve the system of equations. 5x + 5y = -30 2x - y = 15 |
| |
|
A. |
(21, 27) |
B. |
infinitely many solutions |
| |
|
C. |
no solution |
D. |
(3, -9) |
| |
|
Hint |
|
| |
6. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
| |
|
A. |
(14, 22) |
B. |
(30, 6) |
| |
|
C. |
(42, 6) |
D. |
(10, 26) |
| |
|
Hint |
|
| |
7. |
Use elimination to solve the system of equations given below. 3x - 2y = 4 2x + y = -2 |
| |
|
A. |
(0, -2) |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Which system of inequalities is graphed below? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
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. |
one solution at (-6, 0) |
B. |
no solution |
| |
|
C. |
one solution at  |
D. |
infinitely many solutions |
| |
|
Hint |
|
| |
10. |
Vince and Brian each need two kinds of items at the store. Vince bought 10 of item A and 14 of item B, and spent $97. Brian bought 8 of item A and 25 of item B, and spent $119. How much did each item cost? |
| |
|
A. |
item A = $5.50 item B = $3 |
B. |
item A = $1.14 item B = $2.10 |
| |
|
C. |
item A = $3 item B = $5.50 |
D. |
item A = $2.10 item B = $1.14 |
| |
|
Hint |
|
| |
11. |
Solve the system of equations given by y = 2x + 2 and . |
| |
|
A. |
no solution |
B. |
infinitely many solutions |
| |
|
C. |
(4, -6) |
D. |
(-3, -4) |
| |
|
Hint |
|
| |
12. |
Which point is in the solution set of and y > -2x – 1. |
| |
|
A. |
(-2, 8) |
B. |
(-2.8, 4.6) |
| |
|
C. |
(0, 3) |
D. |
(-6, 5) |
| |
|
Hint |
|
| |
13. |
How many ways can supplies be transferred directly to Providence from other cities? |
| |
|
 |
| |
|
A. |
2 |
B. |
1 |
| |
|
C. |
0 |
D. |
3 |
| |
|
Hint |
|
| |
14. |
To which city is there exactly one way in which supplies can be transferred directly from another city? |
| |
|
 |
| |
|
A. |
Lowell |
B. |
Boston |
| |
|
C. |
Worcester |
D. |
Providence |
| |
|
Hint |
|
|
|