| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
What is 5\( \sqrt{2} \) x 6\( \sqrt{5} \)?
| 30\( \sqrt{7} \) | |
| 30\( \sqrt{10} \) | |
| 30\( \sqrt{5} \) | |
| 11\( \sqrt{10} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{2} \) x 6\( \sqrt{5} \)
(5 x 6)\( \sqrt{2 \times 5} \)
30\( \sqrt{10} \)
16 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 4 | |
| 2 | |
| 1 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 16 people needing transportation leaving 16 - 12 = 4 who will have to find other transportation.
What is -6x5 x 3x4?
| -3x9 | |
| -18x-1 | |
| -18x20 | |
| -18x9 |
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:
-6x5 x 3x4
(-6 x 3)x(5 + 4)
-18x9
A factor is a positive __________ that divides evenly into a given number.
integer |
|
fraction |
|
mixed number |
|
improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Ezra loaned Diane $100 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $101 | |
| $106 | |
| $107 | |
| $105 |
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 $100
i = 0.01 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $1