| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Bob buys two shirts, each with a regular price of $22, how much money will he save?
| $4.40 | |
| $8.80 | |
| $6.60 | |
| $9.90 |
By buying two shirts, Bob will save $22 x \( \frac{20}{100} \) = \( \frac{$22 x 20}{100} \) = \( \frac{$440}{100} \) = $4.40 on the second shirt.
4! = ?
4 x 3 x 2 x 1 |
|
4 x 3 |
|
3 x 2 x 1 |
|
5 x 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.
Convert 5,397,000 to scientific notation.
| 5.397 x 106 | |
| 5.397 x 10-5 | |
| 0.54 x 107 | |
| 53.97 x 105 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
5,397,000 in scientific notation is 5.397 x 106
A bread recipe calls for 3 cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 1\(\frac{3}{4}\) cups | |
| 1\(\frac{1}{8}\) cups | |
| \(\frac{7}{8}\) cups | |
| 2\(\frac{1}{2}\) cups |
The amount of flour you need is (3 - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{24}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups
What is \( 5 \)\( \sqrt{45} \) - \( 6 \)\( \sqrt{5} \)
| -1\( \sqrt{16} \) | |
| -1\( \sqrt{45} \) | |
| 30\( \sqrt{9} \) | |
| 9\( \sqrt{5} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{45} \) - 6\( \sqrt{5} \)
5\( \sqrt{9 \times 5} \) - 6\( \sqrt{5} \)
5\( \sqrt{3^2 \times 5} \) - 6\( \sqrt{5} \)
(5)(3)\( \sqrt{5} \) - 6\( \sqrt{5} \)
15\( \sqrt{5} \) - 6\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
15\( \sqrt{5} \) - 6\( \sqrt{5} \)