| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
Convert z-2 to remove the negative exponent.
| \( \frac{1}{z^{-2}} \) | |
| \( \frac{2}{z} \) | |
| \( \frac{-2}{z} \) | |
| \( \frac{1}{z^2} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is 7z4 x 3z2?
| 10z6 | |
| 10z8 | |
| 21z6 | |
| 10z2 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
7z4 x 3z2
(7 x 3)z(4 + 2)
21z6
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({2 \over 5} \) |
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.
Alex loaned Jennifer $300 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?
| $321 | |
| $303 | |
| $324 | |
| $318 |
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 $300
i = 0.07 x $300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $300 + $21Which of the following is not an integer?
1 |
|
\({1 \over 2}\) |
|
0 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.