| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
What is 8x2 x 2x5?
| 10x5 | |
| 16x3 | |
| 10x7 | |
| 16x7 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
8x2 x 2x5
(8 x 2)x(2 + 5)
16x7
Which of the following is not an integer?
0 |
|
1 |
|
-1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{15\sqrt{6}}{5\sqrt{3}} \)?
| \(\frac{1}{2}\) \( \sqrt{3} \) | |
| 2 \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{2}} \) | |
| 3 \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{15\sqrt{6}}{5\sqrt{3}} \)
\( \frac{15}{5} \) \( \sqrt{\frac{6}{3}} \)
3 \( \sqrt{2} \)
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).
A triathlon course includes a 400m swim, a 40.9km bike ride, and a 10.4km run. What is the total length of the race course?
| 58.3km | |
| 51.7km | |
| 51km | |
| 23.8km |
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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 40.9km + 10.4km
total distance = 51.7km