| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
What is (x3)2?
| x6 | |
| x | |
| x-1 | |
| x5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x3)2Ezra loaned Jennifer $1,300 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,313 | |
| $1,391 | |
| $1,417 | |
| $1,339 |
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 $1,300
i = 0.01 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $13Which of the following is not a prime number?
2 |
|
5 |
|
9 |
|
7 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Convert 0.0006814 to scientific notation.
| 6.814 x 10-4 | |
| 6.814 x 104 | |
| 6.814 x 105 | |
| 6.814 x 10-3 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0006814 in scientific notation is 6.814 x 10-4
What is 2\( \sqrt{8} \) x 8\( \sqrt{5} \)?
| 10\( \sqrt{40} \) | |
| 16\( \sqrt{5} \) | |
| 10\( \sqrt{5} \) | |
| 32\( \sqrt{10} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
2\( \sqrt{8} \) x 8\( \sqrt{5} \)
(2 x 8)\( \sqrt{8 \times 5} \)
16\( \sqrt{40} \)
Now we need to simplify the radical:
16\( \sqrt{40} \)
16\( \sqrt{10 \times 4} \)
16\( \sqrt{10 \times 2^2} \)
(16)(2)\( \sqrt{10} \)
32\( \sqrt{10} \)