| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
What is \( \frac{2}{9} \) ÷ \( \frac{2}{5} \)?
| \(\frac{12}{35}\) | |
| 5 | |
| \(\frac{8}{63}\) | |
| \(\frac{5}{9}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{9} \) ÷ \( \frac{2}{5} \) = \( \frac{2}{9} \) x \( \frac{5}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{5}{2} \) = \( \frac{2 x 5}{9 x 2} \) = \( \frac{10}{18} \) = \(\frac{5}{9}\)
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 31 | |
| 25 | |
| 40 | |
| 34 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Roger buys two shirts, each with a regular price of $28, how much money will he save?
| $1.40 | |
| $9.80 | |
| $4.20 | |
| $12.60 |
By buying two shirts, Roger will save $28 x \( \frac{35}{100} \) = \( \frac{$28 x 35}{100} \) = \( \frac{$980}{100} \) = $9.80 on the second shirt.
What is 3b4 - 7b4?
| 10b4 | |
| 10b16 | |
| -4b4 | |
| 10b8 |
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:
3b4 - 7b4
(3 - 7)b4
-4b4
What is the greatest common factor of 28 and 48?
| 27 | |
| 13 | |
| 15 | |
| 4 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 48 have in common.