| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
| 2.0 | |
| 1 | |
| 8.0 | |
| 4.0 |
1
What is 3\( \sqrt{7} \) x 5\( \sqrt{5} \)?
| 8\( \sqrt{35} \) | |
| 15\( \sqrt{7} \) | |
| 15\( \sqrt{35} \) | |
| 15\( \sqrt{12} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{7} \) x 5\( \sqrt{5} \)
(3 x 5)\( \sqrt{7 \times 5} \)
15\( \sqrt{35} \)
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?
| 2 m2 | |
| 50 m2 | |
| 32 m2 | |
| 98 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
Which of the following is not an integer?
-1 |
|
0 |
|
\({1 \over 2}\) |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Alex buys two shirts, each with a regular price of $46, how much money will he save?
| $2.30 | |
| $9.20 | |
| $16.10 | |
| $23.00 |
By buying two shirts, Alex will save $46 x \( \frac{50}{100} \) = \( \frac{$46 x 50}{100} \) = \( \frac{$2300}{100} \) = $23.00 on the second shirt.