| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
If \( \left|x + 5\right| \) - 4 = -4, which of these is a possible value for x?
| 3 | |
| -5 | |
| -16 | |
| 10 |
First, solve for \( \left|x + 5\right| \):
\( \left|x + 5\right| \) - 4 = -4
\( \left|x + 5\right| \) = -4 + 4
\( \left|x + 5\right| \) = 0
The value inside the absolute value brackets can be either positive or negative so (x + 5) must equal + 0 or -0 for \( \left|x + 5\right| \) to equal 0:
| x + 5 = 0 x = 0 - 5 x = -5 | x + 5 = 0 x = 0 - 5 x = -5 |
So, x = -5 or x = -5.
What is \( \frac{4}{5} \) x \( \frac{3}{6} \)?
| \(\frac{1}{10}\) | |
| \(\frac{1}{6}\) | |
| \(\frac{2}{27}\) | |
| \(\frac{2}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{3}{6} \) = \( \frac{4 x 3}{5 x 6} \) = \( \frac{12}{30} \) = \(\frac{2}{5}\)
Which of the following statements about exponents is false?
b1 = b |
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all of these are false |
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b0 = 1 |
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b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
4! = ?
4 x 3 |
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3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
A factor is a positive __________ that divides evenly into a given number.
integer |
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fraction |
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mixed number |
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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.