| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is 2y4 - 4y4?
| 6y16 | |
| 6y8 | |
| -2y-4 | |
| -2y4 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
2y4 - 4y4
(2 - 4)y4
-2y4
What is \( \frac{21\sqrt{56}}{7\sqrt{8}} \)?
| 3 \( \sqrt{7} \) | |
| 7 \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{7}} \) | |
| 3 \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{21\sqrt{56}}{7\sqrt{8}} \)
\( \frac{21}{7} \) \( \sqrt{\frac{56}{8}} \)
3 \( \sqrt{7} \)
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common multiple |
|
least common factor |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of the following is not a prime number?
9 |
|
2 |
|
7 |
|
5 |
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.
Solve for \( \frac{6!}{3!} \)
| \( \frac{1}{3024} \) | |
| 120 | |
| 210 | |
| \( \frac{1}{840} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{3!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{6 \times 5 \times 4}{1} \)
\( 6 \times 5 \times 4 \)
120