| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
How many hours does it take a car to travel 560 miles at an average speed of 70 miles per hour?
| 2 hours | |
| 8 hours | |
| 6 hours | |
| 5 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 = \( \frac{560mi}{70mph} \)
8 hours
Which of the following statements about exponents is false?
all of these are false |
|
b1 = 1 |
|
b0 = 1 |
|
b1 = b |
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).
If a car travels 315 miles in 9 hours, what is the average speed?
| 65 mph | |
| 75 mph | |
| 40 mph | |
| 35 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solve 2 + (5 + 5) ÷ 5 x 2 - 22
| \(\frac{2}{3}\) | |
| \(\frac{5}{8}\) | |
| 4 | |
| 2 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (5 + 5) ÷ 5 x 2 - 22
P: 2 + (10) ÷ 5 x 2 - 22
E: 2 + 10 ÷ 5 x 2 - 4
MD: 2 + \( \frac{10}{5} \) x 2 - 4
MD: 2 + \( \frac{20}{5} \) - 4
AS: \( \frac{10}{5} \) + \( \frac{20}{5} \) - 4
AS: \( \frac{30}{5} \) - 4
AS: \( \frac{30 - 20}{5} \)
\( \frac{10}{5} \)
2
Convert y-2 to remove the negative exponent.
| \( \frac{1}{y^{-2}} \) | |
| \( \frac{1}{y^2} \) | |
| \( \frac{-1}{y^{-2}} \) | |
| \( \frac{-2}{-y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.