| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 8 | |
| 4 | |
| 57 | |
| 9 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
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a = 7 or a = -7 |
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a = -7 |
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a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
fraction |
|
mixed number |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Ezra buys two shirts, each with a regular price of $41, how much money will he save?
| $6.15 | |
| $20.50 | |
| $4.10 | |
| $10.25 |
By buying two shirts, Ezra will save $41 x \( \frac{50}{100} \) = \( \frac{$41 x 50}{100} \) = \( \frac{$2050}{100} \) = $20.50 on the second shirt.
What is \( 4 \)\( \sqrt{125} \) - \( 2 \)\( \sqrt{5} \)
| 2\( \sqrt{0} \) | |
| 8\( \sqrt{125} \) | |
| 18\( \sqrt{5} \) | |
| 8\( \sqrt{5} \) |
To subtract these radicals together their radicands must be the same:
4\( \sqrt{125} \) - 2\( \sqrt{5} \)
4\( \sqrt{25 \times 5} \) - 2\( \sqrt{5} \)
4\( \sqrt{5^2 \times 5} \) - 2\( \sqrt{5} \)
(4)(5)\( \sqrt{5} \) - 2\( \sqrt{5} \)
20\( \sqrt{5} \) - 2\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
20\( \sqrt{5} \) - 2\( \sqrt{5} \)