| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
4! = ?
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
|
4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Which of the following is not an integer?
\({1 \over 2}\) |
|
1 |
|
-1 |
|
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 \( \frac{-7x^6}{4x^4} \)?
| -1\(\frac{3}{4}\)x2 | |
| -\(\frac{4}{7}\)x2 | |
| -1\(\frac{3}{4}\)x-2 | |
| -1\(\frac{3}{4}\)x24 |
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:
\( \frac{-7x^6}{4x^4} \)
\( \frac{-7}{4} \) x(6 - 4)
-1\(\frac{3}{4}\)x2
What is \( \sqrt{\frac{4}{81}} \)?
| 1 | |
| \(\frac{1}{3}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{3}{7}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{4}{81}} \)
\( \frac{\sqrt{4}}{\sqrt{81}} \)
\( \frac{\sqrt{2^2}}{\sqrt{9^2}} \)
\(\frac{2}{9}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Ezra buys two shirts, each with a regular price of $14, how much will he pay for both shirts?
| $25.20 | |
| $21.00 | |
| $11.20 | |
| $19.60 |
By buying two shirts, Ezra will save $14 x \( \frac{20}{100} \) = \( \frac{$14 x 20}{100} \) = \( \frac{$280}{100} \) = $2.80 on the second shirt.
So, his total cost will be
$14.00 + ($14.00 - $2.80)
$14.00 + $11.20
$25.20