| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is the greatest common factor of 40 and 44?
| 20 | |
| 14 | |
| 4 | |
| 29 |
The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 the greatest factor 40 and 44 have in common.
What is 5\( \sqrt{4} \) x 6\( \sqrt{8} \)?
| 30\( \sqrt{8} \) | |
| 11\( \sqrt{8} \) | |
| 30\( \sqrt{4} \) | |
| 120\( \sqrt{2} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{4} \) x 6\( \sqrt{8} \)
(5 x 6)\( \sqrt{4 \times 8} \)
30\( \sqrt{32} \)
Now we need to simplify the radical:
30\( \sqrt{32} \)
30\( \sqrt{2 \times 16} \)
30\( \sqrt{2 \times 4^2} \)
(30)(4)\( \sqrt{2} \)
120\( \sqrt{2} \)
Frank loaned Monty $1,200 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $45 | |
| $48 | |
| $88 | |
| $12 |
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 $1,200
i = 0.01 x $1,200
i = $12
Alex loaned Christine $100 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?
| $101 | |
| $108 | |
| $104 | |
| $102 |
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 $100
i = 0.02 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $2How many hours does it take a car to travel 225 miles at an average speed of 25 miles per hour?
| 7 hours | |
| 9 hours | |
| 1 hour | |
| 6 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{225mi}{25mph} \)
9 hours