| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Frank buys two shirts, each with a regular price of $14, how much money will he save?
| $7.00 | |
| $5.60 | |
| $0.70 | |
| $1.40 |
By buying two shirts, Frank will save $14 x \( \frac{50}{100} \) = \( \frac{$14 x 50}{100} \) = \( \frac{$700}{100} \) = $7.00 on the second shirt.
What is (z2)4?
| z-2 | |
| z8 | |
| z6 | |
| 2z4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z2)4What is -7y7 x 4y3?
| -28y10 | |
| -28y-4 | |
| -3y21 | |
| -28y21 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-7y7 x 4y3
(-7 x 4)y(7 + 3)
-28y10
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 45 | |
| 25 | |
| 21 | |
| 32 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{50}{100} \) = \( \frac{50 x 20}{100} \) = \( \frac{1000}{100} \) = 10 shots
The center makes 40% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{10}{\frac{40}{100}} \) = 10 x \( \frac{100}{40} \) = \( \frac{10 x 100}{40} \) = \( \frac{1000}{40} \) = 25 shots
to make the same number of shots as the guard and thus score the same number of points.
If a car travels 375 miles in 5 hours, what is the average speed?
| 75 mph | |
| 35 mph | |
| 70 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)