| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Convert z-5 to remove the negative exponent.
| \( \frac{1}{z^5} \) | |
| \( \frac{-1}{-5z^{5}} \) | |
| \( \frac{-5}{z} \) | |
| \( \frac{-5}{-z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of the following statements about exponents is false?
b1 = b |
|
b1 = 1 |
|
all of these are false |
|
b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
What is -5x2 + 9x2?
| 14x-2 | |
| 4x-4 | |
| 4x2 | |
| 14x2 |
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:
-5x2 + 9x2
(-5 + 9)x2
4x2
What is the distance in miles of a trip that takes 2 hours at an average speed of 50 miles per hour?
| 675 miles | |
| 200 miles | |
| 350 miles | |
| 100 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 = \( 50mph \times 2h \)
100 miles
Which of these numbers is a factor of 24?
| 24 | |
| 7 | |
| 26 | |
| 10 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.