| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
What is \( 8 \)\( \sqrt{8} \) + \( 4 \)\( \sqrt{2} \)
| 32\( \sqrt{8} \) | |
| 20\( \sqrt{2} \) | |
| 12\( \sqrt{2} \) | |
| 32\( \sqrt{2} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{8} \) + 4\( \sqrt{2} \)
8\( \sqrt{4 \times 2} \) + 4\( \sqrt{2} \)
8\( \sqrt{2^2 \times 2} \) + 4\( \sqrt{2} \)
(8)(2)\( \sqrt{2} \) + 4\( \sqrt{2} \)
16\( \sqrt{2} \) + 4\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
16\( \sqrt{2} \) + 4\( \sqrt{2} \)A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Bob buys two shirts, each with a regular price of $16, how much will he pay for both shirts?
| $19.20 | |
| $20.00 | |
| $2.40 | |
| $29.60 |
By buying two shirts, Bob will save $16 x \( \frac{15}{100} \) = \( \frac{$16 x 15}{100} \) = \( \frac{$240}{100} \) = $2.40 on the second shirt.
So, his total cost will be
$16.00 + ($16.00 - $2.40)
$16.00 + $13.60
$29.60
What is \( \sqrt{\frac{9}{25}} \)?
| \(\frac{3}{8}\) | |
| \(\frac{3}{5}\) | |
| 1\(\frac{2}{5}\) | |
| 2\(\frac{2}{3}\) |
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:
\( \sqrt{\frac{9}{25}} \)
\( \frac{\sqrt{9}}{\sqrt{25}} \)
\( \frac{\sqrt{3^2}}{\sqrt{5^2}} \)
\(\frac{3}{5}\)
What is the distance in miles of a trip that takes 5 hours at an average speed of 60 miles per hour?
| 455 miles | |
| 400 miles | |
| 375 miles | |
| 300 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 60mph \times 5h \)
300 miles
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% | |
| 35% | |
| 22\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%