| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Simplify \( \sqrt{125} \)
| 5\( \sqrt{5} \) | |
| 6\( \sqrt{10} \) | |
| 9\( \sqrt{5} \) | |
| 2\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)
| 0.6 | |
| 1 | |
| 7.2 | |
| 5.6 |
1
Convert 7,502,000 to scientific notation.
| 7.502 x 10-5 | |
| 7.502 x 105 | |
| 75.02 x 105 | |
| 7.502 x 106 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
7,502,000 in scientific notation is 7.502 x 106
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
|
commutative property for division |
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commutative property for multiplication |
|
distributive property for multiplication |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
If a car travels 480 miles in 8 hours, what is the average speed?
| 30 mph | |
| 50 mph | |
| 45 mph | |
| 60 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)