| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
What is \( 8 \)\( \sqrt{80} \) + \( 8 \)\( \sqrt{5} \)
| 64\( \sqrt{80} \) | |
| 40\( \sqrt{5} \) | |
| 16\( \sqrt{80} \) | |
| 16\( \sqrt{16} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{80} \) + 8\( \sqrt{5} \)
8\( \sqrt{16 \times 5} \) + 8\( \sqrt{5} \)
8\( \sqrt{4^2 \times 5} \) + 8\( \sqrt{5} \)
(8)(4)\( \sqrt{5} \) + 8\( \sqrt{5} \)
32\( \sqrt{5} \) + 8\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
32\( \sqrt{5} \) + 8\( \sqrt{5} \)Roger loaned Monica $1,100 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,177 | |
| $1,188 | |
| $1,166 | |
| $1,133 |
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 $1,100
i = 0.07 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $77Simplify \( \sqrt{63} \)
| 3\( \sqrt{7} \) | |
| 7\( \sqrt{7} \) | |
| 5\( \sqrt{7} \) | |
| 6\( \sqrt{14} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{63} \)
\( \sqrt{9 \times 7} \)
\( \sqrt{3^2 \times 7} \)
3\( \sqrt{7} \)
If there were a total of 200 raffle tickets sold and you bought 12 tickets, what's the probability that you'll win the raffle?
| 17% | |
| 8% | |
| 6% | |
| 4% |
You have 12 out of the total of 200 raffle tickets sold so you have a (\( \frac{12}{200} \)) x 100 = \( \frac{12 \times 100}{200} \) = \( \frac{1200}{200} \) = 6% chance to win the raffle.
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.