| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Which of the following is not a prime number?
2 |
|
7 |
|
5 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Which of the following statements about exponents is false?
b1 = b |
|
b0 = 1 |
|
all of these are false |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Simplify \( \sqrt{175} \)
| 5\( \sqrt{7} \) | |
| 7\( \sqrt{14} \) | |
| 6\( \sqrt{7} \) | |
| 6\( \sqrt{14} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{175} \)
\( \sqrt{25 \times 7} \)
\( \sqrt{5^2 \times 7} \)
5\( \sqrt{7} \)
What is the least common multiple of 3 and 7?
| 17 | |
| 4 | |
| 20 | |
| 21 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 have in common.
If a car travels 120 miles in 8 hours, what is the average speed?
| 35 mph | |
| 25 mph | |
| 70 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)