| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Solve for b:
6b + 1 < 2 - 7b
| b < -1 | |
| b < -1\(\frac{1}{4}\) | |
| b < \(\frac{1}{13}\) | |
| b < -\(\frac{7}{9}\) |
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.
6b + 1 < 2 - 7b
6b < 2 - 7b - 1
6b + 7b < 2 - 1
13b < 1
b < \( \frac{1}{13} \)
b < \(\frac{1}{13}\)
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
normalizing |
|
squaring |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If angle a = 36° and angle b = 57° what is the length of angle d?
| 148° | |
| 144° | |
| 111° | |
| 153° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 36° - 57° = 87°
So, d° = 57° + 87° = 144°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 36° = 144°
If a = c = 5, b = d = 1, what is the area of this rectangle?
| 7 | |
| 5 | |
| 18 | |
| 4 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 1
a = 5