| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.76 |
| Score | 0% | 75% |
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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greatest common factor |
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least common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \frac{8\sqrt{21}}{4\sqrt{7}} \)?
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{3} \) | |
| 2 \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{8\sqrt{21}}{4\sqrt{7}} \)
\( \frac{8}{4} \) \( \sqrt{\frac{21}{7}} \)
2 \( \sqrt{3} \)
How many hours does it take a car to travel 175 miles at an average speed of 35 miles per hour?
| 5 hours | |
| 3 hours | |
| 7 hours | |
| 1 hour |
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 = \( \frac{175mi}{35mph} \)
5 hours
Simplify \( \sqrt{18} \)
| 3\( \sqrt{2} \) | |
| 2\( \sqrt{2} \) | |
| 6\( \sqrt{4} \) | |
| 9\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 11 | |
| 13 | |
| 8 | |
| 16 |
The equation for this sequence is:
an = an-1 + 3
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 + 3
a6 = 13 + 3
a6 = 16