| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Which of the following is not an integer?
1 |
|
-1 |
|
\({1 \over 2}\) |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Solve 2 + (4 + 3) ÷ 4 x 4 - 42
| \(\frac{1}{3}\) | |
| 1 | |
| -7 | |
| 2\(\frac{1}{3}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (4 + 3) ÷ 4 x 4 - 42
P: 2 + (7) ÷ 4 x 4 - 42
E: 2 + 7 ÷ 4 x 4 - 16
MD: 2 + \( \frac{7}{4} \) x 4 - 16
MD: 2 + \( \frac{28}{4} \) - 16
AS: \( \frac{8}{4} \) + \( \frac{28}{4} \) - 16
AS: \( \frac{36}{4} \) - 16
AS: \( \frac{36 - 64}{4} \)
\( \frac{-28}{4} \)
-7
What is -2z2 + 3z2?
| z-4 | |
| -5z-2 | |
| 5z-2 | |
| z2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-2z2 + 3z2
(-2 + 3)z2
z2
What is the greatest common factor of 44 and 20?
| 8 | |
| 6 | |
| 4 | |
| 1 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 20 have in common.
A triathlon course includes a 400m swim, a 20.8km bike ride, and a 12.4km run. What is the total length of the race course?
| 33.6km | |
| 27.4km | |
| 51km | |
| 47.4km |
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 + 20.8km + 12.4km
total distance = 33.6km