| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
What is \( 3 \)\( \sqrt{112} \) - \( 5 \)\( \sqrt{7} \)
| 15\( \sqrt{16} \) | |
| 15\( \sqrt{784} \) | |
| 7\( \sqrt{7} \) | |
| -2\( \sqrt{112} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{112} \) - 5\( \sqrt{7} \)
3\( \sqrt{16 \times 7} \) - 5\( \sqrt{7} \)
3\( \sqrt{4^2 \times 7} \) - 5\( \sqrt{7} \)
(3)(4)\( \sqrt{7} \) - 5\( \sqrt{7} \)
12\( \sqrt{7} \) - 5\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
12\( \sqrt{7} \) - 5\( \sqrt{7} \)Which of the following is not a prime number?
2 |
|
9 |
|
5 |
|
7 |
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.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
mixed number |
|
integer |
|
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.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
absolute value |
|
greatest common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Charlie loaned Bob $1,100 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $55 | |
| $14 | |
| $13 | |
| $81 |
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 $1,100
i = 0.05 x $1,100
i = $55