| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
| 1.8 | |
| 1.0 | |
| 1 | |
| 0.8 |
1
Simplify \( \frac{24}{76} \).
| \( \frac{6}{19} \) | |
| \( \frac{10}{11} \) | |
| \( \frac{9}{14} \) | |
| \( \frac{9}{13} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{24}{76} \) = \( \frac{\frac{24}{4}}{\frac{76}{4}} \) = \( \frac{6}{19} \)
What is \( \frac{3}{6} \) x \( \frac{4}{8} \)?
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{4}\) | |
| \(\frac{1}{28}\) | |
| 2 |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{6} \) x \( \frac{4}{8} \) = \( \frac{3 x 4}{6 x 8} \) = \( \frac{12}{48} \) = \(\frac{1}{4}\)
What is -4b2 + 3b2?
| -7b-2 | |
| 7b2 | |
| 7b-2 | |
| -b2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-4b2 + 3b2
(-4 + 3)b2
-b2
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 or a = -7 |
|
none of these is correct |
|
a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).