| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Alex buys two shirts, each with a regular price of $19, how much money will he save?
| $0.95 | |
| $9.50 | |
| 12 | |
| $5.70 |
By buying two shirts, Alex will save $19 x \( \frac{50}{100} \) = \( \frac{$19 x 50}{100} \) = \( \frac{$950}{100} \) = $9.50 on the second shirt.
What is 8\( \sqrt{6} \) x 8\( \sqrt{5} \)?
| 64\( \sqrt{6} \) | |
| 16\( \sqrt{5} \) | |
| 64\( \sqrt{30} \) | |
| 16\( \sqrt{6} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{6} \) x 8\( \sqrt{5} \)
(8 x 8)\( \sqrt{6 \times 5} \)
64\( \sqrt{30} \)
If \( \left|y + 9\right| \) + 6 = 2, which of these is a possible value for y?
| -9 | |
| 19 | |
| -8 | |
| -13 |
First, solve for \( \left|y + 9\right| \):
\( \left|y + 9\right| \) + 6 = 2
\( \left|y + 9\right| \) = 2 - 6
\( \left|y + 9\right| \) = -4
The value inside the absolute value brackets can be either positive or negative so (y + 9) must equal - 4 or --4 for \( \left|y + 9\right| \) to equal -4:
| y + 9 = -4 y = -4 - 9 y = -13 | y + 9 = 4 y = 4 - 9 y = -5 |
So, y = -5 or y = -13.
A tiger in a zoo has consumed 135 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 180 pounds?
| 8 | |
| 3 | |
| 9 | |
| 4 |
If the tiger has consumed 135 pounds of food in 9 days that's \( \frac{135}{9} \) = 15 pounds of food per day. The tiger needs to consume 180 - 135 = 45 more pounds of food to reach 180 pounds total. At 15 pounds of food per day that's \( \frac{45}{15} \) = 3 more days.
What is the greatest common factor of 28 and 68?
| 21 | |
| 9 | |
| 4 | |
| 23 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 68 have in common.