| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common factor |
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least common multiple |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Damon buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $15.05 | |
| $45.15 | |
| $70.95 | |
| $27.95 |
By buying two shirts, Damon will save $43 x \( \frac{35}{100} \) = \( \frac{$43 x 35}{100} \) = \( \frac{$1505}{100} \) = $15.05 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $15.05)
$43.00 + $27.95
$70.95
The total water usage for a city is 5,000 gallons each day. Of that total, 25% is for personal use and 47% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 13,000 | |
| 1,100 | |
| 1,050 | |
| 5,600 |
47% of the water consumption is industrial use and 25% is personal use so (47% - 25%) = 22% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{22}{100} \) x 5,000 gallons = 1,100 gallons.
If a car travels 300 miles in 6 hours, what is the average speed?
| 50 mph | |
| 25 mph | |
| 40 mph | |
| 75 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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a = 7 |
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a = 7 or a = -7 |
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none of these is correct |
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).