| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
What is \( \frac{6\sqrt{9}}{3\sqrt{3}} \)?
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{9}}{3\sqrt{3}} \)
\( \frac{6}{3} \) \( \sqrt{\frac{9}{3}} \)
2 \( \sqrt{3} \)
Solve 4 + (4 + 5) ÷ 3 x 3 - 32
| 1\(\frac{1}{6}\) | |
| 1\(\frac{1}{3}\) | |
| 2 | |
| 4 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (4 + 5) ÷ 3 x 3 - 32
P: 4 + (9) ÷ 3 x 3 - 32
E: 4 + 9 ÷ 3 x 3 - 9
MD: 4 + \( \frac{9}{3} \) x 3 - 9
MD: 4 + \( \frac{27}{3} \) - 9
AS: \( \frac{12}{3} \) + \( \frac{27}{3} \) - 9
AS: \( \frac{39}{3} \) - 9
AS: \( \frac{39 - 27}{3} \)
\( \frac{12}{3} \)
4
What is the distance in miles of a trip that takes 4 hours at an average speed of 20 miles per hour?
| 80 miles | |
| 200 miles | |
| 150 miles | |
| 405 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 = \( 20mph \times 4h \)
80 miles
17 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 8 | |
| 2 | |
| 1 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 17 people needing transportation leaving 17 - 16 = 1 who will have to find other transportation.
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
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.