Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.25 |
Score | 0% | 65% |
16 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
8 | |
1 | |
6 | |
4 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.
What is 7\( \sqrt{6} \) x 6\( \sqrt{2} \)?
42\( \sqrt{8} \) | |
84\( \sqrt{3} \) | |
42\( \sqrt{6} \) | |
42\( \sqrt{2} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{6} \) x 6\( \sqrt{2} \)
(7 x 6)\( \sqrt{6 \times 2} \)
42\( \sqrt{12} \)
Now we need to simplify the radical:
42\( \sqrt{12} \)
42\( \sqrt{3 \times 4} \)
42\( \sqrt{3 \times 2^2} \)
(42)(2)\( \sqrt{3} \)
84\( \sqrt{3} \)
What is 3c6 + 7c6?
4c-6 | |
10c6 | |
-4c-6 | |
-4c6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
3c6 + 7c6
(3 + 7)c6
10c6
Which of these numbers is a factor of 64?
8 | |
58 | |
4 | |
15 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
What is \( \frac{4}{8} \) x \( \frac{4}{7} \)?
\(\frac{2}{7}\) | |
\(\frac{1}{3}\) | |
\(\frac{1}{36}\) | |
2\(\frac{2}{7}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{4}{7} \) = \( \frac{4 x 4}{8 x 7} \) = \( \frac{16}{56} \) = \(\frac{2}{7}\)