| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.90 |
| Score | 0% | 78% |
a(b + c) = ab + ac defines which of the following?
distributive property for division |
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commutative property for division |
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distributive property for multiplication |
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commutative property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
The total water usage for a city is 5,000 gallons each day. Of that total, 34% is for personal use and 56% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 15,500 | |
| 12,400 | |
| 3,500 | |
| 1,100 |
56% of the water consumption is industrial use and 34% is personal use so (56% - 34%) = 22% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{22}{100} \) x 5,000 gallons = 1,100 gallons.
What is the distance in miles of a trip that takes 2 hours at an average speed of 60 miles per hour?
| 330 miles | |
| 315 miles | |
| 120 miles | |
| 150 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 60mph \times 2h \)
120 miles
If a car travels 50 miles in 2 hours, what is the average speed?
| 25 mph | |
| 35 mph | |
| 20 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Which of the following is a mixed number?
\(1 {2 \over 5} \) |
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\({7 \over 5} \) |
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\({a \over 5} \) |
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\({5 \over 7} \) |
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.