| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.80 |
| Score | 0% | 76% |
What is the distance in miles of a trip that takes 8 hours at an average speed of 35 miles per hour?
| 240 miles | |
| 225 miles | |
| 280 miles | |
| 105 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 = \( 35mph \times 8h \)
280 miles
If \( \left|y - 5\right| \) - 8 = -8, which of these is a possible value for y?
| -13 | |
| 4 | |
| 5 | |
| -3 |
First, solve for \( \left|y - 5\right| \):
\( \left|y - 5\right| \) - 8 = -8
\( \left|y - 5\right| \) = -8 + 8
\( \left|y - 5\right| \) = 0
The value inside the absolute value brackets can be either positive or negative so (y - 5) must equal + 0 or -0 for \( \left|y - 5\right| \) to equal 0:
| y - 5 = 0 y = 0 + 5 y = 5 | y - 5 = 0 y = 0 + 5 y = 5 |
So, y = 5 or y = 5.
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 36 | |
| 30 | |
| 45 | |
| 39 |
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
Convert 1,472,000 to scientific notation.
| 1.472 x 106 | |
| 14.72 x 105 | |
| 1.472 x 105 | |
| 0.147 x 107 |
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:
1,472,000 in scientific notation is 1.472 x 106
What is (a2)2?
| a0 | |
| a4 | |
| 2a2 | |
| 69 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a2)2