| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
What is \( \frac{-8x^8}{3x^3} \)?
| -2\(\frac{2}{3}\)x11 | |
| -2\(\frac{2}{3}\)x5 | |
| -2\(\frac{2}{3}\)x24 | |
| -\(\frac{3}{8}\)x5 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-8x^8}{3x^3} \)
\( \frac{-8}{3} \) x(8 - 3)
-2\(\frac{2}{3}\)x5
What is \( \frac{2}{7} \) ÷ \( \frac{4}{6} \)?
| \(\frac{1}{12}\) | |
| \(\frac{3}{7}\) | |
| \(\frac{1}{27}\) | |
| \(\frac{1}{9}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{7} \) ÷ \( \frac{4}{6} \) = \( \frac{2}{7} \) x \( \frac{6}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{6}{4} \) = \( \frac{2 x 6}{7 x 4} \) = \( \frac{12}{28} \) = \(\frac{3}{7}\)
What is the greatest common factor of 44 and 20?
| 3 | |
| 12 | |
| 4 | |
| 11 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 20 have in common.
Find the average of the following numbers: 14, 8, 13, 9.
| 11 | |
| 9 | |
| 14 | |
| 16 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 8 + 13 + 9}{4} \) = \( \frac{44}{4} \) = 11
Which of the following statements about exponents is false?
all of these are false |
|
b1 = b |
|
b1 = 1 |
|
b0 = 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).