| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
|
PEDMAS |
|
associative |
|
commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
A tiger in a zoo has consumed 90 pounds of food in 10 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 117 pounds?
| 6 | |
| 5 | |
| 3 | |
| 1 |
If the tiger has consumed 90 pounds of food in 10 days that's \( \frac{90}{10} \) = 9 pounds of food per day. The tiger needs to consume 117 - 90 = 27 more pounds of food to reach 117 pounds total. At 9 pounds of food per day that's \( \frac{27}{9} \) = 3 more days.
What is \( \frac{4\sqrt{8}}{2\sqrt{2}} \)?
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{4}} \) | |
| 2 \( \sqrt{4} \) | |
| 2 \( \sqrt{\frac{1}{4}} \) | |
| 4 \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{4\sqrt{8}}{2\sqrt{2}} \)
\( \frac{4}{2} \) \( \sqrt{\frac{8}{2}} \)
2 \( \sqrt{4} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Alex buys two shirts, each with a regular price of $21, how much money will he save?
| $8.40 | |
| $4.20 | |
| $2.10 | |
| $6.30 |
By buying two shirts, Alex will save $21 x \( \frac{30}{100} \) = \( \frac{$21 x 30}{100} \) = \( \frac{$630}{100} \) = $6.30 on the second shirt.
In a class of 29 students, 13 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 14 | |
| 22 | |
| 27 | |
| 7 |
The number of students taking German or Spanish is 13 + 15 = 28. Of that group of 28, 6 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 28 - 6 = 22 who are taking at least one language. 29 - 22 = 7 students who are not taking either language.