| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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PEDMAS |
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distributive |
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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.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 62 | |
| 63 | |
| 65 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
How many hours does it take a car to travel 455 miles at an average speed of 65 miles per hour?
| 7 hours | |
| 2 hours | |
| 6 hours | |
| 8 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{455mi}{65mph} \)
7 hours
What is \( 8 \)\( \sqrt{20} \) + \( 4 \)\( \sqrt{5} \)
| 32\( \sqrt{4} \) | |
| 20\( \sqrt{5} \) | |
| 12\( \sqrt{4} \) | |
| 32\( \sqrt{20} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{20} \) + 4\( \sqrt{5} \)
8\( \sqrt{4 \times 5} \) + 4\( \sqrt{5} \)
8\( \sqrt{2^2 \times 5} \) + 4\( \sqrt{5} \)
(8)(2)\( \sqrt{5} \) + 4\( \sqrt{5} \)
16\( \sqrt{5} \) + 4\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
16\( \sqrt{5} \) + 4\( \sqrt{5} \)Which of the following is not an integer?
0 |
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\({1 \over 2}\) |
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-1 |
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1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.