| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.65 |
| Score | 0% | 73% |
Find the average of the following numbers: 7, 5, 7, 5.
| 11 | |
| 5 | |
| 6 | |
| 4 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{7 + 5 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6
What is 9b3 + 2b3?
| 11b3 | |
| 11b-6 | |
| 11b9 | |
| -7b-3 |
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:
9b3 + 2b3
(9 + 2)b3
11b3
What is the distance in miles of a trip that takes 1 hour at an average speed of 65 miles per hour?
| 220 miles | |
| 15 miles | |
| 245 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 = \( 65mph \times 1h \)
65 miles
What is \( \frac{2}{6} \) + \( \frac{7}{14} \)?
| 2 \( \frac{2}{9} \) | |
| \(\frac{5}{6}\) | |
| \( \frac{8}{13} \) | |
| 1 \( \frac{1}{42} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{2 x 7}{6 x 7} \) + \( \frac{7 x 3}{14 x 3} \)
\( \frac{14}{42} \) + \( \frac{21}{42} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{14 + 21}{42} \) = \( \frac{35}{42} \) = \(\frac{5}{6}\)
What is (x4)3?
| 4x3 | |
| x12 | |
| x-1 | |
| x |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x4)3