| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
What is \( \frac{8}{8} \) - \( \frac{2}{10} \)?
| 1 \( \frac{6}{40} \) | |
| \(\frac{4}{5}\) | |
| 1 \( \frac{8}{40} \) | |
| \( \frac{3}{10} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 5}{8 x 5} \) - \( \frac{2 x 4}{10 x 4} \)
\( \frac{40}{40} \) - \( \frac{8}{40} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{40 - 8}{40} \) = \( \frac{32}{40} \) = \(\frac{4}{5}\)
If \( \left|c + 9\right| \) + 5 = 1, which of these is a possible value for c?
| -2 | |
| 6 | |
| -20 | |
| -13 |
First, solve for \( \left|c + 9\right| \):
\( \left|c + 9\right| \) + 5 = 1
\( \left|c + 9\right| \) = 1 - 5
\( \left|c + 9\right| \) = -4
The value inside the absolute value brackets can be either positive or negative so (c + 9) must equal - 4 or --4 for \( \left|c + 9\right| \) to equal -4:
| c + 9 = -4 c = -4 - 9 c = -13 | c + 9 = 4 c = 4 - 9 c = -5 |
So, c = -5 or c = -13.
Which of the following is not an integer?
1 |
|
-1 |
|
\({1 \over 2}\) |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is (b3)2?
| b-1 | |
| b5 | |
| 3b2 | |
| b6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b3)210 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 1 | |
| 6 | |
| 2 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.