| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is \( \frac{3z^8}{8z^2} \)?
| 2\(\frac{2}{3}\)z6 | |
| \(\frac{3}{8}\)z16 | |
| \(\frac{3}{8}\)z6 | |
| \(\frac{3}{8}\)z4 |
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:
\( \frac{3z^8}{8z^2} \)
\( \frac{3}{8} \) z(8 - 2)
\(\frac{3}{8}\)z6
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
|
a = 7 or a = -7 |
|
a = -7 |
|
a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Monty buys two shirts, each with a regular price of $44, how much will he pay for both shirts?
| $22.00 | |
| $63.80 | |
| $66.00 | |
| $46.20 |
By buying two shirts, Monty will save $44 x \( \frac{50}{100} \) = \( \frac{$44 x 50}{100} \) = \( \frac{$2200}{100} \) = $22.00 on the second shirt.
So, his total cost will be
$44.00 + ($44.00 - $22.00)
$44.00 + $22.00
$66.00
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Damon buys two shirts, each with a regular price of $10, how much money will he save?
| $1.50 | |
| $2.00 | |
| $5.00 | |
| $1.00 |
By buying two shirts, Damon will save $10 x \( \frac{20}{100} \) = \( \frac{$10 x 20}{100} \) = \( \frac{$200}{100} \) = $2.00 on the second shirt.
What is the distance in miles of a trip that takes 9 hours at an average speed of 45 miles per hour?
| 405 miles | |
| 495 miles | |
| 175 miles | |
| 75 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 = \( 45mph \times 9h \)
405 miles