| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
Solve for c:
-2c + 3 = 4 + 4c
| \(\frac{2}{7}\) | |
| -\(\frac{1}{6}\) | |
| 1\(\frac{2}{7}\) | |
| -4 |
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.
-2c + 3 = 4 + 4c
-2c = 4 + 4c - 3
-2c - 4c = 4 - 3
-6c = 1
c = \( \frac{1}{-6} \)
c = -\(\frac{1}{6}\)
If a = 8, b = 2, c = 2, and d = 8, what is the perimeter of this quadrilateral?
| 20 | |
| 17 | |
| 15 | |
| 14 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 2 + 2 + 8
p = 20
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and isosceles |
|
equilateral, isosceles and right |
|
equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Solve for c:
-8c - 2 < 2 - 2c
| c < 4 | |
| c < -\(\frac{2}{3}\) | |
| c < 1 | |
| c < -1\(\frac{3}{4}\) |
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 < sign and the answer on the other.
-8c - 2 < 2 - 2c
-8c < 2 - 2c + 2
-8c + 2c < 2 + 2
-6c < 4
c < \( \frac{4}{-6} \)
c < -\(\frac{2}{3}\)
The endpoints of this line segment are at (-2, 4) and (2, -8). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -3 | |
| 2\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) |
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, 4) and (2, -8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)