| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Simplify (y - 2)(y + 3)
| y2 + 5y + 6 | |
| y2 - 5y + 6 | |
| y2 - y - 6 | |
| y2 + y - 6 |
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 - 2)(y + 3)
(y x y) + (y x 3) + (-2 x y) + (-2 x 3)
y2 + 3y - 2y - 6
y2 + y - 6
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
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.
On this circle, line segment CD is the:
diameter |
|
circumference |
|
radius |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The endpoints of this line segment are at (-2, 8) and (2, -4). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| -2 | |
| -1 | |
| -3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 8) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)If a = 9, b = 5, c = 4, and d = 5, what is the perimeter of this quadrilateral?
| 14 | |
| 12 | |
| 23 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 5 + 4 + 5
p = 23