| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Convert y-5 to remove the negative exponent.
| \( \frac{5}{y} \) | |
| \( \frac{-1}{-5y^{5}} \) | |
| \( \frac{1}{y^5} \) | |
| \( \frac{-1}{y^{-5}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A bread recipe calls for 2 cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| 1 cups | |
| \(\frac{7}{8}\) cups | |
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{1}{8}\) cups |
The amount of flour you need is (2 - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{7}{8} \) cups
\(\frac{7}{8}\) cups
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 8 | |
| 9 | |
| 4 | |
| 7 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4
Damon loaned Monty $400 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $54 | |
| $28 | |
| $20 | |
| $45 |
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 $400
i = 0.07 x $400
i = $28
The __________ is the greatest factor that divides two integers.
least common multiple |
|
absolute value |
|
greatest common multiple |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.