| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Convert z-3 to remove the negative exponent.
| \( \frac{-1}{-3z} \) | |
| \( \frac{-1}{-3z^{3}} \) | |
| \( \frac{1}{z^3} \) | |
| \( \frac{-3}{z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If \( \left|a + 5\right| \) - 1 = -3, which of these is a possible value for a?
| -5 | |
| -7 | |
| 2 | |
| -2 |
First, solve for \( \left|a + 5\right| \):
\( \left|a + 5\right| \) - 1 = -3
\( \left|a + 5\right| \) = -3 + 1
\( \left|a + 5\right| \) = -2
The value inside the absolute value brackets can be either positive or negative so (a + 5) must equal - 2 or --2 for \( \left|a + 5\right| \) to equal -2:
| a + 5 = -2 a = -2 - 5 a = -7 | a + 5 = 2 a = 2 - 5 a = -3 |
So, a = -3 or a = -7.
Ezra loaned Frank $1,000 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $16 | |
| $4 | |
| $80 | |
| $30 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,000
i = 0.08 x $1,000
i = $80
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 39 | |
| 25 | |
| 31 | |
| 26 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
If there were a total of 150 raffle tickets sold and you bought 12 tickets, what's the probability that you'll win the raffle?
| 10% | |
| 12% | |
| 11% | |
| 8% |
You have 12 out of the total of 150 raffle tickets sold so you have a (\( \frac{12}{150} \)) x 100 = \( \frac{12 \times 100}{150} \) = \( \frac{1200}{150} \) = 8% chance to win the raffle.