| |
| |
1. |
Find the measure of in the triangle below to the nearest hundredth. |
| |
|
 |
| |
|
A. |
74.05° |
B. |
6.71° |
| |
|
C. |
70° |
D. |
1.29° |
| |
|
Hint |
|
| |
2. |
Which side measures do not form a right triangle? |
| |
|
A. |
5, 12, 13 |
B. |
9, 40, 41 |
| |
|
C. |
10, 12, 15 |
D. |
3, 4, 5 |
| |
|
Hint |
|
| |
3. |
Simplify . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
The expression is in simplest form. |
| |
|
Hint |
|
| |
4. |
Simplify . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
The expression is in simplest form. |
D. |
 |
| |
|
Hint |
|
| |
5. |
Solve . |
| |
|
A. |
no real solution |
B. |
0 |
| |
|
C. |
-1 |
D. |
5 |
| |
|
Hint |
|
| |
6. |
Find the result of |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Which of the following is not a condition of a radical expression in simplest form? |
| |
|
A. |
No radicands contain fractions. |
| |
|
B. |
No radicals appear in the denominator of a fraction. |
| |
|
C. |
No radicands have perfect square factors other than 1. |
| |
|
D. |
No radicals appear in the numerator of a fraction. |
| |
|
Hint |
|
| |
8. |
Solve . |
| |
|
A. |
15 |
B. |
445 |
| |
|
C. |
25 |
D. |
125 |
| |
|
Hint |
|
| |
9. |
Determine the third side measure that will form a right triangle if two of the sides are 9 and 41. |
| |
|
A. |
27 |
B. |
does not exist |
| |
|
C. |
40 |
D. |
42 |
| |
|
Hint |
|
| |
10. |
Find the value of a if the distance between (4, 3) and (–1, a) is 13 units. |
| |
|
A. |
a = 15 or –9 |
B. |
a = 15 only |
| |
|
C. |
a = –15 or 9 |
D. |
a = –15 only |
| |
|
Hint |
|
| |
11. |
What is the distance between (2, 5) and (11, –3)? |
| |
|
A. |
17 |
B. |
 |
| |
|
C. |
145 |
D. |
 |
| |
|
Hint |
|
| |
12. |
What is the value of x in the picture? |
| |
|
 |
| |
|
A. |
10.3 |
B. |
4 |
| |
|
C. |
13.5 |
D. |
6 |
| |
|
Hint |
|
| |
13. |
Which of the following is not necessarily true concerning similar triangles? |
| |
|
A. |
The measures of their corresponding sides are proportional. |
| |
|
B. |
The measures of their corresponding sides are equal. |
| |
|
C. |
Each triangle has angles whose sum is 180°. |
| |
|
D. |
The measures of their corresponding angles are equal. |
| |
|
Hint |
|
| |
14. |
Libby looked out of her airplane window at a 32° angle with respect to the horizontal, and saw the Sears Tower building in Chicago. If the airplane had an altitude of 4000 feet, how far away were they from being directly over Chicago? |
| |
|
A. |
2499 ft. |
B. |
6401 ft. |
| |
|
C. |
1616 ft. |
D. |
9900 ft. |
| |
|
Hint |
|
|
|