| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 45 | |
| 37 | |
| 46 | |
| 54 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
Betty scored 90% on her final exam. If each question was worth 3 points and there were 90 possible points on the exam, how many questions did Betty answer correctly?
| 27 | |
| 19 | |
| 24 | |
| 22 |
Betty scored 90% on the test meaning she earned 90% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.9 = 81 points. Each question is worth 3 points so she got \( \frac{81}{3} \) = 27 questions right.
Which of the following is not a prime number?
9 |
|
7 |
|
2 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Convert a-2 to remove the negative exponent.
| \( \frac{-1}{a^{-2}} \) | |
| \( \frac{1}{a^{-2}} \) | |
| \( \frac{1}{a^2} \) | |
| \( \frac{-2}{a} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Simplify \( \sqrt{27} \)
| 9\( \sqrt{3} \) | |
| 2\( \sqrt{3} \) | |
| 3\( \sqrt{3} \) | |
| 3\( \sqrt{6} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)