| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
If \( \left|b + 1\right| \) - 7 = 8, which of these is a possible value for b?
| 15 | |
| -15 | |
| 11 | |
| -16 |
First, solve for \( \left|b + 1\right| \):
\( \left|b + 1\right| \) - 7 = 8
\( \left|b + 1\right| \) = 8 + 7
\( \left|b + 1\right| \) = 15
The value inside the absolute value brackets can be either positive or negative so (b + 1) must equal + 15 or -15 for \( \left|b + 1\right| \) to equal 15:
| b + 1 = 15 b = 15 - 1 b = 14 | b + 1 = -15 b = -15 - 1 b = -16 |
So, b = -16 or b = 14.
7 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 9 | |
| 6 | |
| 5 |
There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 7 people needing transportation leaving 7 - 6 = 1 who will have to find other transportation.
Which of the following is not a prime number?
5 |
|
9 |
|
2 |
|
7 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Which of the following is a mixed number?
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Alex buys two shirts, each with a regular price of $33, how much money will he save?
| $8.25 | |
| $4.95 | |
| $11.55 | |
| $3.30 |
By buying two shirts, Alex will save $33 x \( \frac{15}{100} \) = \( \frac{$33 x 15}{100} \) = \( \frac{$495}{100} \) = $4.95 on the second shirt.