| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
How many hours does it take a car to travel 60 miles at an average speed of 60 miles per hour?
| 4 hours | |
| 1 hour | |
| 2 hours | |
| 3 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 = \( \frac{60mi}{60mph} \)
1 hour
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?
| 9:6 | |
| 7:1 | |
| 81:2 | |
| 5:8 |
The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. 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 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.
Damon loaned Alex $1,100 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $22 | |
| $65 | |
| $36 | |
| $26 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,100
i = 0.02 x $1,100
i = $22
What is -a2 - 2a2?
| -3a2 | |
| a4 | |
| 3a-2 | |
| a2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-1a2 - 2a2
(-1 - 2)a2
-3a2
Roger loaned Latoya $1,100 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,144 | |
| $1,177 | |
| $1,166 | |
| $1,133 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,100
i = 0.07 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $77