| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
If a car travels 50 miles in 1 hour, what is the average speed?
| 30 mph | |
| 50 mph | |
| 15 mph | |
| 65 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is the greatest common factor of 48 and 20?
| 19 | |
| 17 | |
| 4 | |
| 20 |
The factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 3 factors [1, 2, 4] making 4 the greatest factor 48 and 20 have in common.
What is 5\( \sqrt{7} \) x 7\( \sqrt{4} \)?
| 12\( \sqrt{7} \) | |
| 70\( \sqrt{7} \) | |
| 12\( \sqrt{4} \) | |
| 35\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{7} \) x 7\( \sqrt{4} \)
(5 x 7)\( \sqrt{7 \times 4} \)
35\( \sqrt{28} \)
Now we need to simplify the radical:
35\( \sqrt{28} \)
35\( \sqrt{7 \times 4} \)
35\( \sqrt{7 \times 2^2} \)
(35)(2)\( \sqrt{7} \)
70\( \sqrt{7} \)
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common factor |
|
greatest common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is -3y6 + 8y6?
| 5y36 | |
| 5y12 | |
| 11y-6 | |
| 5y6 |
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:
-3y6 + 8y6
(-3 + 8)y6
5y6