| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 9, length (l) = 9, and width (w) = 1. What is the volume?
| 126 | |
| 36 | |
| 648 | |
| 81 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 9 x 1
v = 81
What is the circumference of a circle with a radius of 6?
| 17π | |
| 15π | |
| 4π | |
| 12π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π
Solve for x:
-x - 4 = \( \frac{x}{-9} \)
| -4\(\frac{5}{19}\) | |
| \(\frac{8}{31}\) | |
| -4\(\frac{1}{2}\) | |
| -2\(\frac{2}{7}\) |
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 equal sign and the answer on the other.
-x - 4 = \( \frac{x}{-9} \)
-9 x (-x - 4) = x
(-9 x -x) + (-9 x -4) = x
9x + 36 = x
9x + 36 - x = 0
9x - x = -36
8x = -36
x = \( \frac{-36}{8} \)
x = -4\(\frac{1}{2}\)
Find the value of c:
4c + x = -5
-4c - 6x = -4
| -1\(\frac{7}{10}\) | |
| -1\(\frac{3}{29}\) | |
| 3\(\frac{2}{3}\) | |
| -\(\frac{27}{56}\) |
You need to find the value of c so solve the first equation in terms of x:
4c + x = -5
x = -5 - 4c
then substitute the result (-5 - 4c) into the second equation:
-4c - 6(-5 - 4c) = -4
-4c + (-6 x -5) + (-6 x -4c) = -4
-4c + 30 + 24c = -4
-4c + 24c = -4 - 30
20c = -34
c = \( \frac{-34}{20} \)
c = -1\(\frac{7}{10}\)
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
normalizing |
|
deconstructing |
|
squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.