| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
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\({a \over 5} \) |
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, 3, 7, 13, 21, __________ ?
| 24 | |
| 31 | |
| 27 | |
| 37 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
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1 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
improper fraction |
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integer |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A bread recipe calls for 3\(\frac{1}{2}\) cups of flour. If you only have \(\frac{3}{4}\) cup, how much more flour is needed?
| 2\(\frac{3}{4}\) cups | |
| 1\(\frac{1}{2}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 1\(\frac{1}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{2}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{28}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{22}{8} \) cups
2\(\frac{3}{4}\) cups