| |
| |
1. |
In the expression 23, 2 is called the _____. |
| |
|
A. |
perfect square |
B. |
square root |
| |
|
C. |
exponent |
D. |
base |
| |
|
Hint |
|
| |
2. |
The expression 5 can be written using exponents as _____. |
| |
|
A. |
1(5) |
B. |
15 |
| |
|
C. |
50 |
D. |
51 |
| |
|
Hint |
|
| |
3. |
Simplify the expression  |
| |
|
A. |
36 |
B. |
34 |
| |
|
C. |
310 |
D. |
16 |
| |
|
Hint |
|
| |
4. |
Which is the correct definition for a number expressed in scientific notation? |
| |
|
A. |
A number is expressed in scientific notation when it is in the form a × 10n, where  and n is an integer. |
B. |
A number is expressed in scientific notation when it is in the form a × 10n, where  and n is a whole number. |
| |
|
C. |
A number is expressed in scientific notation when it is in the form a × 10n, where and n is an integer. |
D. |
A number is expressed in scientific notation when it is in the form a × 10n, where and n is a whole number. |
| |
|
Hint |
|
| |
5. |
To determine the speed of a vehicle involved in an accident, police officers use the formula  . In the formula, s is the speed in miles per hour, d is the length of the skid marks in feet, and f is the friction factor. Suppose for a particular accident d = 45 feet and f = 0.8. What was the approximate speed of the vehicle? |
| |
|
A. |
33 miles per hour |
B. |
198 miles per hour |
| |
|
C. |
84 miles per hour |
D. |
14 miles per hour |
| |
|
Hint |
|
| |
6. |
The best whole number estimate for  is _____. |
| |
|
A. |
9.5 |
B. |
8 |
| |
|
C. |
10 |
D. |
9 |
| |
|
Hint |
|
| |
7. |
Ilias wants to build a square pond for a fountain in his yard. He wants the area of the square to be as close as possible to 150 square feet, but not over 150 square feet. Find the length in whole feet of the largest square pond that he can build and still have the area be less than 150 square feet. |
| |
|
A. |
11 feet |
B. |
11.5 feet |
| |
|
C. |
13 feet |
D. |
12 feet |
| |
|
Hint |
|
| |
8. |
Refer to the diagram below. Which equation correctly states the Pythagorean Theorem that is true for any right triangle? |
| |
|
 |
| |
|
A. |
c2 = a2 - b2 |
B. |
c2 + b2 = a2 |
| |
|
C. |
c2 + a2 = b2 |
D. |
c2 = a2 + b2 |
| |
|
Hint |
|
| |
9. |
Refer to the diagram below. A square with a side length of 6 inches is shown. Find the length d of the diagonal. Round to the nearest tenth of an inch, if necessary. |
| |
|
 |
| |
|
A. |
12 in. |
B. |
17.0 in. |
| |
|
C. |
6 in. |
D. |
8.5 in. |
| |
|
Hint |
|
| |
10. |
Simplify the expression  . |
| |
|
A. |
d5e2f |
B. |
d11e2f8S |
| |
|
C. |
d5e2 |
D. |
d11e2f |
| |
|
Hint |
|
| |
11. |
Write 4-8 using positive exponents. |
| |
|
A. |
 |
B. |
84 |
| |
|
C. |
48 |
D. |
 |
| |
|
Hint |
|
| |
12. |
The distance around the equator of Jupiter is approximately
4.49 × 108m, and a normal football field is about 1.1 × 102m long. About how many football fields could fit lengthwise across Jupiter's equator? |
| |
|
A. |
40,800,000,000 football fields |
B. |
408 football fields |
| |
|
C. |
408,000 football fields |
D. |
4,080,000 football fields |
| |
|
Hint |
|
| |
13. |
Express 5 gigabytes in scientific notation. |
| |
|
A. |
5 × 10-9 bytes |
B. |
5 × 109 bytes |
| |
|
C. |
5 × 106 bytes |
D. |
5 × 10-6 bytes |
| |
|
Hint |
|
| |
14. |
Simplify the expression  . |
| |
|
A. |
12 |
B. |
13 |
| |
|
C. |
9 |
D. |
17 |
| |
|
Hint |
|
|
|