| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
What is 7\( \sqrt{3} \) x 4\( \sqrt{7} \)?
| 28\( \sqrt{7} \) | |
| 11\( \sqrt{3} \) | |
| 28\( \sqrt{21} \) | |
| 28\( \sqrt{3} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{3} \) x 4\( \sqrt{7} \)
(7 x 4)\( \sqrt{3 \times 7} \)
28\( \sqrt{21} \)
What is -7c6 x 8c3?
| c6 | |
| -56c9 | |
| c3 | |
| c18 |
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:
-7c6 x 8c3
(-7 x 8)c(6 + 3)
-56c9
What is the distance in miles of a trip that takes 6 hours at an average speed of 55 miles per hour?
| 390 miles | |
| 330 miles | |
| 560 miles | |
| 495 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 = \( 55mph \times 6h \)
330 miles
Bob loaned Jennifer $400 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $424 | |
| $416 | |
| $420 | |
| $408 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $400
i = 0.02 x $400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $400 + $8Solve 2 + (2 + 5) ÷ 4 x 5 - 52
| -14\(\frac{1}{4}\) | |
| 2 | |
| \(\frac{5}{7}\) | |
| 1\(\frac{3}{5}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (2 + 5) ÷ 4 x 5 - 52
P: 2 + (7) ÷ 4 x 5 - 52
E: 2 + 7 ÷ 4 x 5 - 25
MD: 2 + \( \frac{7}{4} \) x 5 - 25
MD: 2 + \( \frac{35}{4} \) - 25
AS: \( \frac{8}{4} \) + \( \frac{35}{4} \) - 25
AS: \( \frac{43}{4} \) - 25
AS: \( \frac{43 - 100}{4} \)
\( \frac{-57}{4} \)
-14\(\frac{1}{4}\)