| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
What is y5 x 2y3?
| 2y5 | |
| 2y8 | |
| 3y3 | |
| 3y15 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
y5 x 2y3
(1 x 2)y(5 + 3)
2y8
What is the least common multiple of 5 and 7?
| 35 | |
| 25 | |
| 1 | |
| 18 |
The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] 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 [35, 70] making 35 the smallest multiple 5 and 7 have in common.
How many hours does it take a car to travel 300 miles at an average speed of 75 miles per hour?
| 5 hours | |
| 8 hours | |
| 9 hours | |
| 4 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 = \( \frac{300mi}{75mph} \)
4 hours
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
least common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is the distance in miles of a trip that takes 6 hours at an average speed of 15 miles per hour?
| 125 miles | |
| 60 miles | |
| 15 miles | |
| 90 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 = \( 15mph \times 6h \)
90 miles