| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
17 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 8 | |
| 5 | |
| 1 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 17 people needing transportation leaving 17 - 16 = 1 who will have to find other transportation.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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distributive |
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PEDMAS |
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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.
What is \( 3 \)\( \sqrt{28} \) - \( 5 \)\( \sqrt{7} \)
| -2\( \sqrt{28} \) | |
| \( \sqrt{7} \) | |
| 15\( \sqrt{196} \) | |
| -2\( \sqrt{7} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{28} \) - 5\( \sqrt{7} \)
3\( \sqrt{4 \times 7} \) - 5\( \sqrt{7} \)
3\( \sqrt{2^2 \times 7} \) - 5\( \sqrt{7} \)
(3)(2)\( \sqrt{7} \) - 5\( \sqrt{7} \)
6\( \sqrt{7} \) - 5\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
6\( \sqrt{7} \) - 5\( \sqrt{7} \)Which of the following is a mixed number?
\({5 \over 7} \) |
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\(1 {2 \over 5} \) |
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\({a \over 5} \) |
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\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 36 | |
| 27 | |
| 35 | |
| 32 |
The equation for this sequence is:
an = an-1 + 7
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 + 7
a6 = 29 + 7
a6 = 36