| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
What is b2 - 4b2?
| 3b2 | |
| -3b-2 | |
| -3b2 | |
| 5b-4 |
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:
1b2 - 4b2
(1 - 4)b2
-3b2
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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mixed number |
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integer |
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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.
What is \( \frac{4}{7} \) ÷ \( \frac{4}{9} \)?
| 1\(\frac{2}{7}\) | |
| \(\frac{2}{27}\) | |
| 9 | |
| \(\frac{3}{64}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{7} \) ÷ \( \frac{4}{9} \) = \( \frac{4}{7} \) x \( \frac{9}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{9}{4} \) = \( \frac{4 x 9}{7 x 4} \) = \( \frac{36}{28} \) = 1\(\frac{2}{7}\)
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 53 | |
| 46 | |
| 37 | |
| 43 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
Convert c-3 to remove the negative exponent.
| \( \frac{-1}{c^{-3}} \) | |
| \( \frac{1}{c^{-3}} \) | |
| \( \frac{-1}{-3c^{3}} \) | |
| \( \frac{1}{c^3} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.