| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 6 | |
| 2 | |
| 4 | |
| 8 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
What is (y2)3?
| 3y2 | |
| y5 | |
| y | |
| y6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y2)3What is \( \sqrt{\frac{9}{64}} \)?
| 1\(\frac{3}{4}\) | |
| \(\frac{3}{8}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{3}{5}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)
What is \( 9 \)\( \sqrt{80} \) + \( 9 \)\( \sqrt{5} \)
| 81\( \sqrt{5} \) | |
| 45\( \sqrt{5} \) | |
| 81\( \sqrt{80} \) | |
| 18\( \sqrt{400} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{80} \) + 9\( \sqrt{5} \)
9\( \sqrt{16 \times 5} \) + 9\( \sqrt{5} \)
9\( \sqrt{4^2 \times 5} \) + 9\( \sqrt{5} \)
(9)(4)\( \sqrt{5} \) + 9\( \sqrt{5} \)
36\( \sqrt{5} \) + 9\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
36\( \sqrt{5} \) + 9\( \sqrt{5} \)A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Roger buys two shirts, each with a regular price of $27, how much money will he save?
| $9.45 | |
| $2.70 | |
| $12.15 | |
| $4.05 |
By buying two shirts, Roger will save $27 x \( \frac{10}{100} \) = \( \frac{$27 x 10}{100} \) = \( \frac{$270}{100} \) = $2.70 on the second shirt.