| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 |
|
a = 7 or a = -7 |
|
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).
What is the least common multiple of 3 and 5?
| 15 | |
| 13 | |
| 8 | |
| 1 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 have in common.
13 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 3 | |
| 8 | |
| 5 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 13 people needing transportation leaving 13 - 10 = 3 who will have to find other transportation.
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 $20, how much money will he save?
| $7.00 | |
| $4.00 | |
| $3.00 | |
| $10.00 |
By buying two shirts, Ezra will save $20 x \( \frac{20}{100} \) = \( \frac{$20 x 20}{100} \) = \( \frac{$400}{100} \) = $4.00 on the second shirt.
In a class of 30 students, 10 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 9 | |
| 20 | |
| 23 | |
| 16 |
The number of students taking German or Spanish is 10 + 15 = 25. Of that group of 25, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 25 - 4 = 21 who are taking at least one language. 30 - 21 = 9 students who are not taking either language.