| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.85 |
| Score | 0% | 77% |
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
a = -7 |
|
a = 7 or a = -7 |
|
none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Simplify \( \sqrt{27} \)
| 4\( \sqrt{3} \) | |
| 5\( \sqrt{3} \) | |
| 3\( \sqrt{3} \) | |
| 9\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)
What is the distance in miles of a trip that takes 9 hours at an average speed of 20 miles per hour?
| 50 miles | |
| 140 miles | |
| 65 miles | |
| 180 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 = \( 20mph \times 9h \)
180 miles
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 15 | |
| -2 | |
| 3 | |
| 6 |
The equation for this sequence is:
an = an-1 + 1
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 + 1
a6 = 5 + 1
a6 = 6
What is (y2)3?
| y-1 | |
| 2y3 | |
| y | |
| y6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y2)3