| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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least common multiple |
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absolute value |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Roger loaned Betty $700 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $707 | |
| $756 | |
| $714 | |
| $749 |
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 $700
i = 0.08 x $700
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $700 + $56Christine scored 93% on her final exam. If each question was worth 4 points and there were 120 possible points on the exam, how many questions did Christine answer correctly?
| 21 | |
| 18 | |
| 28 | |
| 24 |
Christine scored 93% on the test meaning she earned 93% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.93 = 112 points. Each question is worth 4 points so she got \( \frac{112}{4} \) = 28 questions right.
| 5.6 | |
| 1 | |
| 1.8 | |
| 1.6 |
1
If a rectangle is twice as long as it is wide and has a perimeter of 24 meters, what is the area of the rectangle?
| 72 m2 | |
| 98 m2 | |
| 32 m2 | |
| 18 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 24 meters so the equation becomes: 2w + 2h = 24.
Putting these two equations together and solving for width (w):
2w + 2h = 24
w + h = \( \frac{24}{2} \)
w + h = 12
w = 12 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 12 - 2w
3w = 12
w = \( \frac{12}{3} \)
w = 4
Since h = 2w that makes h = (2 x 4) = 8 and the area = h x w = 4 x 8 = 32 m2