| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.80 |
| Score | 0% | 76% |
If a = 7, b = 3, c = 8, and d = 6, what is the perimeter of this quadrilateral?
| 16 | |
| 24 | |
| 19 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 3 + 8 + 6
p = 24
Solve for x:
-x + 7 < -5 - 3x
| x < \(\frac{3}{4}\) | |
| x < 1\(\frac{1}{6}\) | |
| x < -6 | |
| x < -\(\frac{1}{4}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-x + 7 < -5 - 3x
-x < -5 - 3x - 7
-x + 3x < -5 - 7
2x < -12
x < \( \frac{-12}{2} \)
x < -6
If side a = 5, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{68} \) | |
| 10 | |
| \( \sqrt{40} \) | |
| \( \sqrt{61} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 62
c2 = 25 + 36
c2 = 61
c = \( \sqrt{61} \)
The dimensions of this cube are height (h) = 8, length (l) = 3, and width (w) = 9. What is the volume?
| 210 | |
| 168 | |
| 189 | |
| 216 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 3 x 9
v = 216
A quadrilateral is a shape with __________ sides.
5 |
|
3 |
|
4 |
|
2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.