| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
What is \( \frac{1c^8}{4c^4} \)?
| \(\frac{1}{4}\)c12 | |
| \(\frac{1}{4}\)c4 | |
| 4c-4 | |
| \(\frac{1}{4}\)c32 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{c^8}{4c^4} \)
\( \frac{1}{4} \) c(8 - 4)
\(\frac{1}{4}\)c4
What is \( \frac{2}{9} \) x \( \frac{2}{5} \)?
| \(\frac{8}{45}\) | |
| \(\frac{3}{16}\) | |
| \(\frac{1}{9}\) | |
| \(\frac{4}{45}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{2}{5} \) = \( \frac{2 x 2}{9 x 5} \) = \( \frac{4}{45} \) = \(\frac{4}{45}\)
If a car travels 270 miles in 6 hours, what is the average speed?
| 45 mph | |
| 30 mph | |
| 40 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)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\(\frac{1}{2}\)% | |
| 25% | |
| 35% | |
| 17\(\frac{1}{2}\)% |
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%
Convert y-2 to remove the negative exponent.
| \( \frac{-2}{y} \) | |
| \( \frac{1}{y^{-2}} \) | |
| \( \frac{1}{y^2} \) | |
| \( \frac{-1}{-2y^{2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.