| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A factor is a positive __________ that divides evenly into a given number.
integer |
|
mixed number |
|
improper fraction |
|
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.
What is -4c2 - c2?
| -3c-4 | |
| -5c2 | |
| -3c4 | |
| -3c2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-4c2 - 1c2
(-4 - 1)c2
-5c2
What is 8\( \sqrt{7} \) x 3\( \sqrt{9} \)?
| 11\( \sqrt{9} \) | |
| 24\( \sqrt{7} \) | |
| 24\( \sqrt{16} \) | |
| 72\( \sqrt{7} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{7} \) x 3\( \sqrt{9} \)
(8 x 3)\( \sqrt{7 \times 9} \)
24\( \sqrt{63} \)
Now we need to simplify the radical:
24\( \sqrt{63} \)
24\( \sqrt{7 \times 9} \)
24\( \sqrt{7 \times 3^2} \)
(24)(3)\( \sqrt{7} \)
72\( \sqrt{7} \)
What is \( \frac{-1x^8}{5x^3} \)?
| -5x5 | |
| -5x-5 | |
| -\(\frac{1}{5}\)x\(\frac{3}{8}\) | |
| -\(\frac{1}{5}\)x5 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-x^8}{5x^3} \)
\( \frac{-1}{5} \) x(8 - 3)
-\(\frac{1}{5}\)x5
Roger loaned Charlie $700 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $42 | |
| $21 | |
| $15 | |
| $78 |
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 $700
i = 0.06 x $700
i = $42