| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
What is the distance in miles of a trip that takes 2 hours at an average speed of 20 miles per hour?
| 525 miles | |
| 40 miles | |
| 330 miles | |
| 120 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 = \( 20mph \times 2h \)
40 miles
What is \( \frac{-2a^9}{5a^2} \)?
| -\(\frac{2}{5}\)a18 | |
| -2\(\frac{1}{2}\)a-7 | |
| -\(\frac{2}{5}\)a7 | |
| -\(\frac{2}{5}\)a\(\frac{2}{9}\) |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-2a^9}{5a^2} \)
\( \frac{-2}{5} \) a(9 - 2)
-\(\frac{2}{5}\)a7
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 1:1 | |
| 1:6 | |
| 25:2 | |
| 3:2 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.
Which of the following is not an integer?
-1 |
|
\({1 \over 2}\) |
|
1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Convert c-5 to remove the negative exponent.
| \( \frac{1}{c^{-5}} \) | |
| \( \frac{1}{c^5} \) | |
| \( \frac{-1}{-5c^{5}} \) | |
| \( \frac{-5}{-c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.