| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
A coordinate grid is composed of which of the following?
origin |
|
y-axis |
|
all of these |
|
x-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.
Factor y2 + 16y + 64
| (y + 8)(y + 8) | |
| (y + 8)(y - 8) | |
| (y - 8)(y + 8) | |
| (y - 8)(y - 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 64 as well and sum (Inside, Outside) to equal 16. For this problem, those two numbers are 8 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 16y + 64
y2 + (8 + 8)y + (8 x 8)
(y + 8)(y + 8)
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 |
|
h2 x l2 x w2 |
|
lw x wh + lh |
|
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.
Simplify (y - 4)(y - 7)
| y2 - 11y + 28 | |
| y2 + 3y - 28 | |
| y2 + 11y + 28 | |
| y2 - 3y - 28 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 4)(y - 7)
(y x y) + (y x -7) + (-4 x y) + (-4 x -7)
y2 - 7y - 4y + 28
y2 - 11y + 28
Solve for x:
-6x + 3 = -5 - 2x
| -\(\frac{3}{5}\) | |
| 2 | |
| -1\(\frac{1}{6}\) | |
| 1\(\frac{1}{6}\) |
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.
-6x + 3 = -5 - 2x
-6x = -5 - 2x - 3
-6x + 2x = -5 - 3
-4x = -8
x = \( \frac{-8}{-4} \)
x = 2