| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.92 |
| Score | 0% | 78% |
Simplify \( \sqrt{112} \)
| 5\( \sqrt{7} \) | |
| 4\( \sqrt{14} \) | |
| 4\( \sqrt{7} \) | |
| 2\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)
What is the distance in miles of a trip that takes 1 hour at an average speed of 45 miles per hour?
| 160 miles | |
| 120 miles | |
| 45 miles | |
| 65 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 45mph \times 1h \)
45 miles
How many hours does it take a car to travel 90 miles at an average speed of 15 miles per hour?
| 1 hour | |
| 6 hours | |
| 3 hours | |
| 2 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{90mi}{15mph} \)
6 hours
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 29 | |
| 19 | |
| 23 | |
| 26 |
The equation for this sequence is:
an = an-1 + 5
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 5
a6 = 21 + 5
a6 = 26
What is 4b6 + 4b6?
| 6 | |
| 8b-12 | |
| 8b6 | |
| 8b12 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
4b6 + 4b6
(4 + 4)b6
8b6