| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
| 1 | |
| 3.0 | |
| 0.5 | |
| 5.4 |
1
If a car travels 20 miles in 1 hour, what is the average speed?
| 20 mph | |
| 30 mph | |
| 65 mph | |
| 35 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If \( \left|x + 8\right| \) - 2 = 9, which of these is a possible value for x?
| 3 | |
| -4 | |
| 15 | |
| 10 |
First, solve for \( \left|x + 8\right| \):
\( \left|x + 8\right| \) - 2 = 9
\( \left|x + 8\right| \) = 9 + 2
\( \left|x + 8\right| \) = 11
The value inside the absolute value brackets can be either positive or negative so (x + 8) must equal + 11 or -11 for \( \left|x + 8\right| \) to equal 11:
| x + 8 = 11 x = 11 - 8 x = 3 | x + 8 = -11 x = -11 - 8 x = -19 |
So, x = -19 or x = 3.
Frank loaned April $1,300 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,391 | |
| $1,326 | |
| $1,339 | |
| $1,417 |
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 $1,300
i = 0.02 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $26A 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?
| 3:8 | |
| 1:6 | |
| 81:2 | |
| 3:6 |
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.