| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
Convert a-2 to remove the negative exponent.
| \( \frac{-1}{-2a^{2}} \) | |
| \( \frac{-1}{a^{-2}} \) | |
| \( \frac{-2}{-a} \) | |
| \( \frac{1}{a^2} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Charlie buys two shirts, each with a regular price of $38, how much will he pay for both shirts?
| $17.10 | |
| $53.20 | |
| $43.70 | |
| $58.90 |
By buying two shirts, Charlie will save $38 x \( \frac{45}{100} \) = \( \frac{$38 x 45}{100} \) = \( \frac{$1710}{100} \) = $17.10 on the second shirt.
So, his total cost will be
$38.00 + ($38.00 - $17.10)
$38.00 + $20.90
$58.90
What is \( \frac{20\sqrt{18}}{4\sqrt{9}} \)?
| 5 \( \sqrt{2} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{2}} \) | |
| 5 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{20\sqrt{18}}{4\sqrt{9}} \)
\( \frac{20}{4} \) \( \sqrt{\frac{18}{9}} \)
5 \( \sqrt{2} \)
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 $20, how much money will he save?
| $2.00 | |
| $7.00 | |
| $10.00 | |
| $4.00 |
By buying two shirts, Roger will save $20 x \( \frac{35}{100} \) = \( \frac{$20 x 35}{100} \) = \( \frac{$700}{100} \) = $7.00 on the second shirt.
What is the next number in this sequence: 1, 3, 5, 7, 9, __________ ?
| 9 | |
| 11 | |
| 13 | |
| 2 |
The equation for this sequence is:
an = an-1 + 2
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
a6 = 9 + 2
a6 = 11