| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
If \( \left|z - 7\right| \) + 8 = 2, which of these is a possible value for z?
| -5 | |
| -17 | |
| 13 | |
| -6 |
First, solve for \( \left|z - 7\right| \):
\( \left|z - 7\right| \) + 8 = 2
\( \left|z - 7\right| \) = 2 - 8
\( \left|z - 7\right| \) = -6
The value inside the absolute value brackets can be either positive or negative so (z - 7) must equal - 6 or --6 for \( \left|z - 7\right| \) to equal -6:
| z - 7 = -6 z = -6 + 7 z = 1 | z - 7 = 6 z = 6 + 7 z = 13 |
So, z = 13 or z = 1.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 46 | |
| 54 | |
| 53 | |
| 40 |
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
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Roger buys two shirts, each with a regular price of $29, how much money will he save?
| $7.25 | |
| $5.80 | |
| $1.45 | |
| $8.70 |
By buying two shirts, Roger will save $29 x \( \frac{25}{100} \) = \( \frac{$29 x 25}{100} \) = \( \frac{$725}{100} \) = $7.25 on the second shirt.
What is 8c6 x 4c3?
| 32c9 | |
| 12c9 | |
| 32c3 | |
| 12c3 |
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:
8c6 x 4c3
(8 x 4)c(6 + 3)
32c9
Monty loaned Roger $800 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $1 | |
| $28 | |
| $72 | |
| $7 |
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 $800
i = 0.09 x $800
i = $72