| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
Factor y2 - 7y + 6
| (y + 6)(y + 1) | |
| (y - 6)(y - 1) | |
| (y - 6)(y + 1) | |
| (y + 6)(y - 1) |
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 6 as well and sum (Inside, Outside) to equal -7. For this problem, those two numbers are -6 and -1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 7y + 6
y2 + (-6 - 1)y + (-6 x -1)
(y - 6)(y - 1)
A right angle measures:
45° |
|
180° |
|
90° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If side x = 15cm, side y = 11cm, and side z = 13cm what is the perimeter of this triangle?
| 23cm | |
| 35cm | |
| 39cm | |
| 28cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 11cm + 13cm = 39cm
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h x l x w |
|
h2 x l2 x w2 |
|
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.
The endpoints of this line segment are at (-2, -1) and (2, 5). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -2 | |
| 2 |
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, -1) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)