| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
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\({2 \over 5} \) |
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\(1 {2 \over 5} \) |
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.
| 1 | |
| 4.0 | |
| 3.2 | |
| 3.0 |
1
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 30 | |
| 27 | |
| 36 | |
| 38 |
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
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
|
mixed number |
|
integer |
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.
If \( \left|a - 4\right| \) - 1 = -6, which of these is a possible value for a?
| 0 | |
| -1 | |
| 3 | |
| -4 |
First, solve for \( \left|a - 4\right| \):
\( \left|a - 4\right| \) - 1 = -6
\( \left|a - 4\right| \) = -6 + 1
\( \left|a - 4\right| \) = -5
The value inside the absolute value brackets can be either positive or negative so (a - 4) must equal - 5 or --5 for \( \left|a - 4\right| \) to equal -5:
| a - 4 = -5 a = -5 + 4 a = -1 | a - 4 = 5 a = 5 + 4 a = 9 |
So, a = 9 or a = -1.