| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
least common multiple |
|
absolute value |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Betty scored 97% on her final exam. If each question was worth 2 points and there were 120 possible points on the exam, how many questions did Betty answer correctly?
| 70 | |
| 58 | |
| 44 | |
| 65 |
Betty scored 97% on the test meaning she earned 97% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.97 = 116 points. Each question is worth 2 points so she got \( \frac{116}{2} \) = 58 questions right.
Find the average of the following numbers: 12, 8, 13, 7.
| 14 | |
| 10 | |
| 7 | |
| 9 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 8 + 13 + 7}{4} \) = \( \frac{40}{4} \) = 10
How many 1 gallon cans worth of fuel would you need to pour into an empty 4 gallon tank to fill it exactly halfway?
| 6 | |
| 83 | |
| 4 | |
| 2 |
To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{2 \text{ gallons}}{1 \text{ gallons}} \) = 2
What is \( 5 \)\( \sqrt{50} \) + \( 4 \)\( \sqrt{2} \)
| 20\( \sqrt{2} \) | |
| 9\( \sqrt{25} \) | |
| 29\( \sqrt{2} \) | |
| 20\( \sqrt{50} \) |
To add these radicals together their radicands must be the same:
5\( \sqrt{50} \) + 4\( \sqrt{2} \)
5\( \sqrt{25 \times 2} \) + 4\( \sqrt{2} \)
5\( \sqrt{5^2 \times 2} \) + 4\( \sqrt{2} \)
(5)(5)\( \sqrt{2} \) + 4\( \sqrt{2} \)
25\( \sqrt{2} \) + 4\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
25\( \sqrt{2} \) + 4\( \sqrt{2} \)