| |
| |
1. |
Refer to the graph below. These two lines appear to intersect at _____. |
| |
|
 |
| |
|
A. |
(-1, -2) |
B. |
(-2, -1) |
| |
|
C. |
(-2, 1) |
D. |
(-2, 1) |
| |
|
Hint |
|
| |
2. |
Which ordered pair is a solution to the system of equations y = 3x and
y = x + 4? |
| |
|
A. |
(6, 2) |
B. |
(-6, 2) |
| |
|
C. |
(-2, -6) |
D. |
(2, 6) |
| |
|
Hint |
|
| |
3. |
Select the statement that is not true about systems of linear equations. |
| |
|
A. |
A dependent system has infinitely many solutions. |
| |
|
B. |
An inconsistent system has two solutions. |
| |
|
C. |
An independent system has exactly one solution. |
| |
|
D. |
A consistent system has at least one solution. |
| |
|
Hint |
|
| |
4. |
Refer to the graph below. Which statement is not true for the system of equations? |
| |
|
 |
| |
|
A. |
There is one solution to this system of equations. |
| |
|
B. |
This system of equations is dependent. |
| |
|
C. |
This system of equations is consistent. |
| |
|
D. |
The graphs appear to intersect at one point. |
| |
|
Hint |
|
| |
5. |
Select the system of equations in which you should use subtraction to eliminate one of the variables. |
| |
|
A. |
2x + y = 10 and
2x – 3y = 7 |
B. |
–5y + x = 12 and
5y + 2x = 16 |
| |
|
C. |
4y – 3x = 10 and
y + 3x = 15 |
D. |
x + y = 1 and
4x – y = 9 |
| |
|
Hint |
|
| |
6. |
Solve the system y = 2x2 – 6 and y = 4x. |
| |
|
A. |
(1, 4), (3, 12) |
B. |
(–1, –4), (–3, –12) |
| |
|
C. |
(1, 4), (–3, –12) |
D. |
(–1, –4), (3, 12) |
| |
|
Hint |
|
| |
7. |
Solve the system of inequalities  and y > –2x + 1 by graphing. Identify the correct graph. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Use substitution to solve the system x = 3y and 3x + y = -20. |
| |
|
A. |
(-6, -2) |
B. |
(-2, -6) |
| |
|
C. |
no solution |
D. |
all ordered pairs |
| |
|
Hint |
|
| |
9. |
Use substitution to solve the system 2y + x = 6 and 2x – 4y =-12. |
| |
|
A. |
(0, 3) |
B. |
no solution |
| |
|
C. |
(-3, 0) |
D. |
all ordered pairs |
| |
|
Hint |
|
| |
10. |
Use elimination to solve the system  x + 3y = 8 and x + 3y = 10. |
| |
|
A. |
(2, 0) |
B. |
(0, 2) |
| |
|
C. |
(2, 4) |
D. |
(4, 2) |
| |
|
Hint |
|
| |
11. |
Use elimination to solve 4x – 3y = 3 and  x + y = 0. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
At the local theater daytime movies are a different price than nighttime movies. During one month Dexter went to 3 daytime movies and 4 nighttime movies and spent $47 altogether. Stephanie went to 5 daytime movies and 2 nighttime movies and spent $41 altogether. How much did each movie cost? |
| |
|
A. |
daytime: $6
nighttime: $4 |
B. |
daytime: $4
nighttime: $6 |
| |
|
C. |
daytime: $5
nighttime: $8 |
D. |
daytime: $8
nighttime: $5 |
| |
|
Hint |
|
| |
13. |
Refer to the graph. José is inside the school auditorium that has a 9-foot ceiling. He throws a tennis ball, modeled by the equation
v(h) = -0.16h2 + 2h + 3, with all measurements in feet. Where will the tennis ball hit the ceiling? |
| |
|
 |
| |
|
A. |
It will not hit the ceiling. |
B. |
(7.5, 9) |
| |
|
C. |
(5, 9) |
D. |
(5, 9) and (7.5, 9) |
| |
|
Hint |
|
| |
14. |
Which system of inequalities describes the graph below? |
| |
|
 |
| |
|
A. |
y > 0 and y  3 – x |
| |
|
B. |
y  0 and y < 3 – x |
| |
|
C. |
y 0 and y > 3 – x |
| |
|
D. |
y < 0 and y 3 – x |
| |
|
Hint |
|
|
|