| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is (b4)3?
| 3b4 | |
| b7 | |
| b-1 | |
| b12 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b4)3What is the least common multiple of 9 and 15?
| 45 | |
| 58 | |
| 96 | |
| 99 |
The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 have in common.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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distributive |
|
commutative |
|
associative |
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.
In a class of 28 students, 14 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 26 | |
| 11 | |
| 15 | |
| 6 |
The number of students taking German or Spanish is 14 + 11 = 25. Of that group of 25, 3 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 - 3 = 22 who are taking at least one language. 28 - 22 = 6 students who are not taking either language.
April scored 84% on her final exam. If each question was worth 4 points and there were 280 possible points on the exam, how many questions did April answer correctly?
| 59 | |
| 51 | |
| 56 | |
| 46 |
April scored 84% on the test meaning she earned 84% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.84 = 236 points. Each question is worth 4 points so she got \( \frac{236}{4} \) = 59 questions right.