| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
If a car travels 70 miles in 2 hours, what is the average speed?
| 30 mph | |
| 20 mph | |
| 35 mph | |
| 50 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{15\sqrt{12}}{3\sqrt{3}} \)?
| \(\frac{1}{4}\) \( \sqrt{5} \) | |
| 4 \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{\frac{1}{4}} \) | |
| 5 \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{15\sqrt{12}}{3\sqrt{3}} \)
\( \frac{15}{3} \) \( \sqrt{\frac{12}{3}} \)
5 \( \sqrt{4} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Damon buys two shirts, each with a regular price of $11, how much will he pay for both shirts?
| $17.05 | |
| $4.95 | |
| $16.50 | |
| $6.05 |
By buying two shirts, Damon will save $11 x \( \frac{45}{100} \) = \( \frac{$11 x 45}{100} \) = \( \frac{$495}{100} \) = $4.95 on the second shirt.
So, his total cost will be
$11.00 + ($11.00 - $4.95)
$11.00 + $6.05
$17.05
If \( \left|a - 1\right| \) + 8 = 6, which of these is a possible value for a?
| 5 | |
| 3 | |
| 0 | |
| -5 |
First, solve for \( \left|a - 1\right| \):
\( \left|a - 1\right| \) + 8 = 6
\( \left|a - 1\right| \) = 6 - 8
\( \left|a - 1\right| \) = -2
The value inside the absolute value brackets can be either positive or negative so (a - 1) must equal - 2 or --2 for \( \left|a - 1\right| \) to equal -2:
| a - 1 = -2 a = -2 + 1 a = -1 | a - 1 = 2 a = 2 + 1 a = 3 |
So, a = 3 or a = -1.
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.