| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
Simplify \( \sqrt{32} \)
| 6\( \sqrt{4} \) | |
| 4\( \sqrt{2} \) | |
| 9\( \sqrt{4} \) | |
| 3\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)
What is \( \frac{-4a^5}{8a^4} \)?
| -\(\frac{1}{2}\)a | |
| -\(\frac{1}{2}\)a9 | |
| -\(\frac{1}{2}\)a\(\frac{4}{5}\) | |
| -2a |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-4a^5}{8a^4} \)
\( \frac{-4}{8} \) a(5 - 4)
-\(\frac{1}{2}\)a
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 12 gallon tank to fill it exactly halfway?
| 2 | |
| 8 | |
| 7 | |
| 4 |
To fill a 12 gallon tank exactly halfway you'll need 6 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{6 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 4
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 44,000 seats in a stadium are filled, how many home fans are in attendance?
| 30,833 | |
| 35,200 | |
| 22,500 | |
| 28,000 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
44,000 fans x \( \frac{4}{5} \) = \( \frac{176000}{5} \) = 35,200 fans.
April scored 81% on her final exam. If each question was worth 3 points and there were 210 possible points on the exam, how many questions did April answer correctly?
| 57 | |
| 52 | |
| 60 | |
| 54 |
April scored 81% on the test meaning she earned 81% of the possible points on the test. There were 210 possible points on the test so she earned 210 x 0.81 = 171 points. Each question is worth 3 points so she got \( \frac{171}{3} \) = 57 questions right.