| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
Simplify \( \sqrt{32} \)
| 2\( \sqrt{2} \) | |
| 8\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) | |
| 5\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)
How many 14-passenger vans will it take to drive all 48 members of the football team to an away game?
| 6 vans | |
| 11 vans | |
| 3 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{48}{14} \) = 3\(\frac{3}{7}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
What is (y3)4?
| y12 | |
| y7 | |
| 3y4 | |
| y |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y3)4Which of the following is a mixed number?
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
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.
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 39,000 seats in a stadium are filled, how many home fans are in attendance?
| 41,667 | |
| 25,500 | |
| 25,833 | |
| 26,000 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
39,000 fans x \( \frac{2}{3} \) = \( \frac{78000}{3} \) = 26,000 fans.