| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
The endpoints of this line segment are at (-2, 2) and (2, -10). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -3 | |
| 3 | |
| -\(\frac{1}{2}\) |
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, 2) and (2, -10) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-10.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)If a = 5, b = 6, c = 5, and d = 7, what is the perimeter of this quadrilateral?
| 23 | |
| 22 | |
| 20 | |
| 21 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 6 + 5 + 7
p = 23
If a = c = 1, b = d = 8, and the blue angle = 57°, what is the area of this parallelogram?
| 8 | |
| 5 | |
| 10 | |
| 12 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 8
a = 8
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
slope |
|
x-intercept |
|
y-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 = -3 and y = 2, what is the value of 4a(a - y)?
| 60 | |
| -240 | |
| -60 | |
| -44 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
4a(a - y)
4(-3)(-3 - 2)
4(-3)(-5)
(-12)(-5)
60