| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
What is (z2)3?
| z6 | |
| 2z3 | |
| z | |
| z5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z2)3What is the least common multiple of 6 and 14?
| 66 | |
| 49 | |
| 42 | |
| 53 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.
What is \( \frac{14\sqrt{36}}{7\sqrt{9}} \)?
| 4 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{4}} \) | |
| 2 \( \sqrt{4} \) | |
| \(\frac{1}{4}\) \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{36}}{7\sqrt{9}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{36}{9}} \)
2 \( \sqrt{4} \)
What is \( \frac{1}{8} \) ÷ \( \frac{2}{6} \)?
| \(\frac{3}{8}\) | |
| \(\frac{2}{27}\) | |
| \(\frac{8}{49}\) | |
| \(\frac{1}{42}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{8} \) ÷ \( \frac{2}{6} \) = \( \frac{1}{8} \) x \( \frac{6}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{8} \) x \( \frac{6}{2} \) = \( \frac{1 x 6}{8 x 2} \) = \( \frac{6}{16} \) = \(\frac{3}{8}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Alex buys two shirts, each with a regular price of $12, how much money will he save?
| $3.00 | |
| $5.40 | |
| $4.20 | |
| $1.80 |
By buying two shirts, Alex will save $12 x \( \frac{45}{100} \) = \( \frac{$12 x 45}{100} \) = \( \frac{$540}{100} \) = $5.40 on the second shirt.