| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have \(\frac{1}{2}\) cup, how much more flour is needed?
| 2\(\frac{1}{2}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{3}{4}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{4}{8} \)) cups
\( \frac{22}{8} \) cups
2\(\frac{3}{4}\) cups
Convert c-2 to remove the negative exponent.
| \( \frac{-1}{-2c^{2}} \) | |
| \( \frac{-2}{c} \) | |
| \( \frac{1}{c^2} \) | |
| \( \frac{-1}{-2c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common factor |
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least common multiple |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
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\({a \over 5} \) |
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\({7 \over 5} \) |
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\({2 \over 5} \) |
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 7\( \sqrt{3} \) x 4\( \sqrt{8} \)?
| 56\( \sqrt{6} \) | |
| 11\( \sqrt{3} \) | |
| 28\( \sqrt{11} \) | |
| 11\( \sqrt{24} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{3} \) x 4\( \sqrt{8} \)
(7 x 4)\( \sqrt{3 \times 8} \)
28\( \sqrt{24} \)
Now we need to simplify the radical:
28\( \sqrt{24} \)
28\( \sqrt{6 \times 4} \)
28\( \sqrt{6 \times 2^2} \)
(28)(2)\( \sqrt{6} \)
56\( \sqrt{6} \)