| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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greatest common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Simplify \( \sqrt{27} \)
| 2\( \sqrt{6} \) | |
| 4\( \sqrt{3} \) | |
| 3\( \sqrt{3} \) | |
| 9\( \sqrt{6} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Bob buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $47.30 | |
| $45.15 | |
| $75.25 | |
| $32.25 |
By buying two shirts, Bob will save $43 x \( \frac{25}{100} \) = \( \frac{$43 x 25}{100} \) = \( \frac{$1075}{100} \) = $10.75 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $10.75)
$43.00 + $32.25
$75.25
Alex loaned Latoya $600 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $648 | |
| $654 | |
| $624 | |
| $636 |
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 $600
i = 0.06 x $600
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $600 + $36What is -5a2 - 2a2?
| -7a2 | |
| 7a-2 | |
| -3a2 | |
| -3a4 |
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:
-5a2 - 2a2
(-5 - 2)a2
-7a2