| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Simplify \( \sqrt{50} \)
| 7\( \sqrt{2} \) | |
| 5\( \sqrt{2} \) | |
| 5\( \sqrt{4} \) | |
| 2\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{50} \)
\( \sqrt{25 \times 2} \)
\( \sqrt{5^2 \times 2} \)
5\( \sqrt{2} \)
What is \( \frac{3}{8} \) x \( \frac{4}{7} \)?
| 1\(\frac{5}{7}\) | |
| \(\frac{1}{15}\) | |
| \(\frac{3}{25}\) | |
| \(\frac{3}{14}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{4}{7} \) = \( \frac{3 x 4}{8 x 7} \) = \( \frac{12}{56} \) = \(\frac{3}{14}\)
Which of the following statements about exponents is false?
b1 = 1 |
|
b0 = 1 |
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all of these are false |
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b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
17 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 8 | |
| 6 | |
| 5 |
There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 17 people needing transportation leaving 17 - 12 = 5 who will have to find other transportation.
Which of the following is an improper fraction?
\({a \over 5} \) |
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\(1 {2 \over 5} \) |
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\({2 \over 5} \) |
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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.