| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
What is 9c2 - 5c2?
| 14c2 | |
| 4c2 | |
| 14c-4 | |
| -4c2 |
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:
9c2 - 5c2
(9 - 5)c2
4c2
What is the greatest common factor of 32 and 72?
| 8 | |
| 10 | |
| 32 | |
| 15 |
The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 32 and 72 have in common.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common factor |
|
absolute value |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Convert 0.0005271 to scientific notation.
| 5.271 x 10-4 | |
| 52.71 x 10-5 | |
| 5.271 x 10-3 | |
| 5.271 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0005271 in scientific notation is 5.271 x 10-4
What is \( 5 \)\( \sqrt{18} \) - \( 2 \)\( \sqrt{2} \)
| 3\( \sqrt{18} \) | |
| 3\( \sqrt{36} \) | |
| 13\( \sqrt{2} \) | |
| 3\( \sqrt{-5} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{18} \) - 2\( \sqrt{2} \)
5\( \sqrt{9 \times 2} \) - 2\( \sqrt{2} \)
5\( \sqrt{3^2 \times 2} \) - 2\( \sqrt{2} \)
(5)(3)\( \sqrt{2} \) - 2\( \sqrt{2} \)
15\( \sqrt{2} \) - 2\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
15\( \sqrt{2} \) - 2\( \sqrt{2} \)