| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is \( \frac{15\sqrt{8}}{5\sqrt{2}} \)?
| \(\frac{1}{4}\) \( \sqrt{3} \) | |
| 3 \( \sqrt{\frac{1}{4}} \) | |
| 3 \( \sqrt{4} \) | |
| 4 \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{15\sqrt{8}}{5\sqrt{2}} \)
\( \frac{15}{5} \) \( \sqrt{\frac{8}{2}} \)
3 \( \sqrt{4} \)
Betty scored 85% on her final exam. If each question was worth 3 points and there were 120 possible points on the exam, how many questions did Betty answer correctly?
| 25 | |
| 34 | |
| 29 | |
| 35 |
Betty scored 85% on the test meaning she earned 85% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.85 = 102 points. Each question is worth 3 points so she got \( \frac{102}{3} \) = 34 questions right.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Alex buys two shirts, each with a regular price of $12, how much money will he save?
| $4.20 | |
| $3.60 | |
| $0.60 | |
| $1.80 |
By buying two shirts, Alex will save $12 x \( \frac{35}{100} \) = \( \frac{$12 x 35}{100} \) = \( \frac{$420}{100} \) = $4.20 on the second shirt.
If \( \left|b - 2\right| \) - 8 = 9, which of these is a possible value for b?
| -13 | |
| 9 | |
| 19 | |
| 8 |
First, solve for \( \left|b - 2\right| \):
\( \left|b - 2\right| \) - 8 = 9
\( \left|b - 2\right| \) = 9 + 8
\( \left|b - 2\right| \) = 17
The value inside the absolute value brackets can be either positive or negative so (b - 2) must equal + 17 or -17 for \( \left|b - 2\right| \) to equal 17:
| b - 2 = 17 b = 17 + 2 b = 19 | b - 2 = -17 b = -17 + 2 b = -15 |
So, b = -15 or b = 19.
What is 4y7 x 8y4?
| 32y4 | |
| 12y11 | |
| 12y7 | |
| 32y11 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
4y7 x 8y4
(4 x 8)y(7 + 4)
32y11