| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
If \( \left|x - 7\right| \) - 1 = -8, which of these is a possible value for x?
| 0 | |
| 4 | |
| -6 | |
| -7 |
First, solve for \( \left|x - 7\right| \):
\( \left|x - 7\right| \) - 1 = -8
\( \left|x - 7\right| \) = -8 + 1
\( \left|x - 7\right| \) = -7
The value inside the absolute value brackets can be either positive or negative so (x - 7) must equal - 7 or --7 for \( \left|x - 7\right| \) to equal -7:
| x - 7 = -7 x = -7 + 7 x = 0 | x - 7 = 7 x = 7 + 7 x = 14 |
So, x = 14 or x = 0.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Roger buys two shirts, each with a regular price of $17, how much will he pay for both shirts?
| $2.55 | |
| $14.45 | |
| $31.45 | |
| $22.95 |
By buying two shirts, Roger will save $17 x \( \frac{15}{100} \) = \( \frac{$17 x 15}{100} \) = \( \frac{$255}{100} \) = $2.55 on the second shirt.
So, his total cost will be
$17.00 + ($17.00 - $2.55)
$17.00 + $14.45
$31.45
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
|
b1 = b |
|
b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
11 members of a bridal party need transported to a wedding reception but there are only 3 2-passenger taxis available to take them. How many will need to find other transportation?
| 88 | |
| 8 | |
| 3 | |
| 5 |
There are 3 2-passenger taxis available so that's 3 x 2 = 6 total seats. There are 11 people needing transportation leaving 11 - 6 = 5 who will have to find other transportation.
How many hours does it take a car to travel 350 miles at an average speed of 50 miles per hour?
| 6 hours | |
| 8 hours | |
| 7 hours | |
| 1 hour |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{350mi}{50mph} \)
7 hours