| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Solve 3 + (5 + 5) ÷ 2 x 4 - 22
| 1 | |
| \(\frac{2}{9}\) | |
| 19 | |
| 3\(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (5 + 5) ÷ 2 x 4 - 22
P: 3 + (10) ÷ 2 x 4 - 22
E: 3 + 10 ÷ 2 x 4 - 4
MD: 3 + \( \frac{10}{2} \) x 4 - 4
MD: 3 + \( \frac{40}{2} \) - 4
AS: \( \frac{6}{2} \) + \( \frac{40}{2} \) - 4
AS: \( \frac{46}{2} \) - 4
AS: \( \frac{46 - 8}{2} \)
\( \frac{38}{2} \)
19
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 31,000 seats in a stadium are filled, how many home fans are in attendance?
| 25,833 | |
| 36,667 | |
| 34,500 | |
| 31,667 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
31,000 fans x \( \frac{5}{6} \) = \( \frac{155000}{6} \) = 25,833 fans.
What is 2y4 x 4y2?
| 6y2 | |
| 8y6 | |
| 6y6 | |
| 8y-2 |
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:
2y4 x 4y2
(2 x 4)y(4 + 2)
8y6
What is \( \frac{-2z^8}{7z^2} \)?
| -\(\frac{2}{7}\)z-6 | |
| -\(\frac{2}{7}\)z6 | |
| -\(\frac{2}{7}\)z\(\frac{1}{4}\) | |
| -3\(\frac{1}{2}\)z-6 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-2z^8}{7z^2} \)
\( \frac{-2}{7} \) z(8 - 2)
-\(\frac{2}{7}\)z6
What is the distance in miles of a trip that takes 3 hours at an average speed of 50 miles per hour?
| 300 miles | |
| 90 miles | |
| 240 miles | |
| 150 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 = \( 50mph \times 3h \)
150 miles