| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
greatest common factor |
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least common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Ezra loaned Alex $1,300 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $108 | |
| $104 | |
| $18 | |
| $66 |
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 = 0.08 x $1,300
i = $104
What is \( \frac{-6c^7}{1c^3} \)?
| -6c10 | |
| -6c2\(\frac{1}{3}\) | |
| -6c4 | |
| -\(\frac{1}{6}\)c10 |
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:
\( \frac{-6c^7}{c^3} \)
\( \frac{-6}{1} \) c(7 - 3)
-6c4
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?
| 7 | |
| 4 | |
| 2 | |
| 5 |
To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2
In a class of 28 students, 8 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?
| 20 | |
| 19 | |
| 15 | |
| 23 |
The number of students taking German or Spanish is 8 + 10 = 18. Of that group of 18, 5 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 18 - 5 = 13 who are taking at least one language. 28 - 13 = 15 students who are not taking either language.