| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Which of these numbers is a factor of 28?
| 10 | |
| 27 | |
| 14 | |
| 30 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.
What is 3\( \sqrt{2} \) x 2\( \sqrt{2} \)?
| 6\( \sqrt{4} \) | |
| 12 | |
| 5\( \sqrt{4} \) | |
| 5\( \sqrt{2} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{2} \) x 2\( \sqrt{2} \)
(3 x 2)\( \sqrt{2 \times 2} \)
6\( \sqrt{4} \)
Now we need to simplify the radical:
6\( \sqrt{4} \)
6\( \sqrt{2^2} \)
(6)(2)
12
If \( \left|a - 4\right| \) + 2 = -9, which of these is a possible value for a?
| -7 | |
| 5 | |
| -5 | |
| -11 |
First, solve for \( \left|a - 4\right| \):
\( \left|a - 4\right| \) + 2 = -9
\( \left|a - 4\right| \) = -9 - 2
\( \left|a - 4\right| \) = -11
The value inside the absolute value brackets can be either positive or negative so (a - 4) must equal - 11 or --11 for \( \left|a - 4\right| \) to equal -11:
| a - 4 = -11 a = -11 + 4 a = -7 | a - 4 = 11 a = 11 + 4 a = 15 |
So, a = 15 or a = -7.
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 35 | |
| 41 | |
| 48 | |
| 49 |
The equation for this sequence is:
an = an-1 + 8
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 + 8
a6 = 33 + 8
a6 = 41
Charlie loaned Betty $1,000 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,030 | |
| $1,040 | |
| $1,090 | |
| $1,070 |
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 = 0.03 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $30