| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
intersects |
|
midpoints |
|
bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
The endpoints of this line segment are at (-2, -4) and (2, -2). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -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, -4) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
|
all of these statements are correct |
|
you can subtract monomials that have the same variable and the same exponent |
|
you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
\({\Delta y \over \Delta x}\) |
|
slope |
|
x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
If a = 7, b = 1, c = 2, and d = 2, what is the perimeter of this quadrilateral?
| 15 | |
| 20 | |
| 22 | |
| 12 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 1 + 2 + 2
p = 12