| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is x4 x 2x3?
| 3x3 | |
| 2x12 | |
| 2x7 | |
| 2x4 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
x4 x 2x3
(1 x 2)x(4 + 3)
2x7
If there were a total of 50 raffle tickets sold and you bought 2 tickets, what's the probability that you'll win the raffle?
| 5% | |
| 1% | |
| 6% | |
| 17% |
You have 2 out of the total of 50 raffle tickets sold so you have a (\( \frac{2}{50} \)) x 100 = \( \frac{2 \times 100}{50} \) = \( \frac{200}{50} \) = 5% chance to win the raffle.
Simplify \( \frac{20}{72} \).
| \( \frac{1}{2} \) | |
| \( \frac{5}{18} \) | |
| \( \frac{2}{5} \) | |
| \( \frac{5}{11} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{20}{72} \) = \( \frac{\frac{20}{4}}{\frac{72}{4}} \) = \( \frac{5}{18} \)
Convert y-5 to remove the negative exponent.
| \( \frac{1}{y^5} \) | |
| \( \frac{1}{y^{-5}} \) | |
| \( \frac{5}{y} \) | |
| \( \frac{-1}{-5y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of these numbers is a factor of 56?
| 19 | |
| 15 | |
| 14 | |
| 21 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.