| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
Which of the following is an improper fraction?
\({7 \over 5} \) |
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\({2 \over 5} \) |
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\({a \over 5} \) |
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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.
A triathlon course includes a 200m swim, a 20.6km bike ride, and a 6.2km run. What is the total length of the race course?
| 33.9km | |
| 45.6km | |
| 34.9km | |
| 27km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 20.6km + 6.2km
total distance = 27km
Which of the following statements about exponents is false?
all of these are false |
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b0 = 1 |
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b1 = b |
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b1 = 1 |
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).
The __________ is the greatest factor that divides two integers.
greatest common factor |
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absolute value |
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least common multiple |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is 7x3 + 2x3?
| 9x3 | |
| 5x-3 | |
| 9x6 | |
| -5x-3 |
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:
7x3 + 2x3
(7 + 2)x3
9x3