| |
| |
1. |
and are similar. Find a if x = 7, y = 1, and  |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
1 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Find the measure of in the triangle below to the nearest hundredth. |
| |
|
 |
| |
|
A. |
70° |
B. |
74.05° |
| |
|
C. |
6.71° |
D. |
1.29° |
| |
|
Hint |
|
| |
3. |
Find the length of the missing side to the nearest hundredth. |
| |
|
 |
| |
|
A. |
6.24 |
B. |
9.43 |
| |
|
C. |
4.87 |
D. |
3 |
| |
|
Hint |
|
| |
4. |
Which side measures do not form a right triangle? |
| |
|
A. |
10, 12, 15 |
B. |
5, 12, 13 |
| |
|
C. |
3, 4, 5 |
D. |
9, 40, 41 |
| |
|
Hint |
|
| |
5. |
Simplify . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Simplify . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Solve . |
| |
|
A. |
1, 3 |
B. |
-1, 3 |
| |
|
C. |
3 |
D. |
-1 |
| |
|
Hint |
|
| |
8. |
The distance between the points with coordinates (-8, 4) and (1, a) is 15 units. Find the value of a. |
| |
|
A. |
8 |
B. |
-8 |
| |
|
C. |
-8 or 16 |
D. |
8 or 16 |
| |
|
Hint |
|
| |
9. |
What is the perimeter of a rectangle whose length is and whose width is  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Three houses are sharing their electricity. One house uses W, another uses W, and the final one uses . How much total electricity are they using? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Solve . |
| |
|
A. |
–1 |
B. |
1 |
| |
|
C. |
no solution |
D. |
{1, –1} |
| |
|
Hint |
|
| |
12. |
What is the perimeter of a triangle whose vertices are the points (–1, 4), (–1, –2), (5, –2)? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
What is the value of x in the picture? |
| |
|
 |
| |
|
A. |
10.3 |
B. |
4 |
| |
|
C. |
6 |
D. |
13.5 |
| |
|
Hint |
|
| |
14. |
John wanted to see the flag as he sang the national anthem, so he looked up at it at an angle of 38°. Then, he decided to get a closer look, so he walked 150 feet toward the flag. If his angle of elevation was now 46°, how high was the flag? |
| |
|
A. |
477.3 ft. |
B. |
460.9 ft. |
| |
|
C. |
117.2 ft. |
D. |
155.3 ft. |
| |
|
Hint |
|
|
|