| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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absolute value |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Solve 3 + (5 + 2) ÷ 5 x 4 - 42
| \(\frac{4}{9}\) | |
| \(\frac{5}{6}\) | |
| -7\(\frac{2}{5}\) | |
| \(\frac{3}{4}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (5 + 2) ÷ 5 x 4 - 42
P: 3 + (7) ÷ 5 x 4 - 42
E: 3 + 7 ÷ 5 x 4 - 16
MD: 3 + \( \frac{7}{5} \) x 4 - 16
MD: 3 + \( \frac{28}{5} \) - 16
AS: \( \frac{15}{5} \) + \( \frac{28}{5} \) - 16
AS: \( \frac{43}{5} \) - 16
AS: \( \frac{43 - 80}{5} \)
\( \frac{-37}{5} \)
-7\(\frac{2}{5}\)
Solve for \( \frac{6!}{4!} \)
| 8 | |
| 72 | |
| 30 | |
| \( \frac{1}{56} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{4!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{6 \times 5}{1} \)
\( 6 \times 5 \)
30
Which of these numbers is a factor of 24?
| 5 | |
| 4 | |
| 2 | |
| 19 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
Roger loaned Christine $500 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $525 | |
| $540 | |
| $515 | |
| $505 |
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 $500
i = 0.03 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $15