| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
What is \( 4 \)\( \sqrt{80} \) + \( 7 \)\( \sqrt{5} \)
| 11\( \sqrt{80} \) | |
| 28\( \sqrt{5} \) | |
| 23\( \sqrt{5} \) | |
| 11\( \sqrt{16} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{80} \) + 7\( \sqrt{5} \)
4\( \sqrt{16 \times 5} \) + 7\( \sqrt{5} \)
4\( \sqrt{4^2 \times 5} \) + 7\( \sqrt{5} \)
(4)(4)\( \sqrt{5} \) + 7\( \sqrt{5} \)
16\( \sqrt{5} \) + 7\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
16\( \sqrt{5} \) + 7\( \sqrt{5} \)This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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commutative |
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associative |
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distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
4! = ?
3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 |
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4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
A factor is a positive __________ that divides evenly into a given number.
integer |
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mixed number |
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fraction |
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improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Alex loaned Christine $900 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $963 | |
| $909 | |
| $981 | |
| $954 |
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 $900
i = 0.06 x $900
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $900 + $54