| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
A coordinate grid is composed of which of the following?
origin |
|
x-axis |
|
all of these |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cube are height (h) = 5, length (l) = 8, and width (w) = 1. What is the volume?
| 225 | |
| 30 | |
| 18 | |
| 40 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 8 x 1
v = 40
Solve for x:
x2 - 5x + 21 = 3x + 5
| 8 or -5 | |
| 4 | |
| 9 or -6 | |
| 6 or -6 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
x2 - 5x + 21 = 3x + 5
x2 - 5x + 21 - 5 = 3x
x2 - 5x - 3x + 16 = 0
x2 - 8x + 16 = 0
Next, factor the quadratic equation:
x2 - 8x + 16 = 0
(x - 4)(x - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (x - 4) must equal zero:
If (x - 4) = 0, x must equal 4
So the solution is that x = 4
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
lw x wh + lh |
|
h2 x l2 x w2 |
|
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.
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
deconstructing |
|
squaring |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.