| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
The endpoints of this line segment are at (-2, 0) and (2, 6). What is the slope of this line?
| -2 | |
| 1\(\frac{1}{2}\) | |
| -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, 0) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Solve for y:
5y - 2 < \( \frac{y}{-3} \)
| y < -1\(\frac{5}{19}\) | |
| y < \(\frac{3}{8}\) | |
| y < -\(\frac{18}{41}\) | |
| y < -\(\frac{8}{31}\) |
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.
5y - 2 < \( \frac{y}{-3} \)
-3 x (5y - 2) < y
(-3 x 5y) + (-3 x -2) < y
-15y + 6 < y
-15y + 6 - y < 0
-15y - y < -6
-16y < -6
y < \( \frac{-6}{-16} \)
y < \(\frac{3}{8}\)
If a = c = 3, b = d = 1, what is the area of this rectangle?
| 18 | |
| 48 | |
| 3 | |
| 16 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 1
a = 3
Solve for x:
5x + 4 = -3 + 6x
| -\(\frac{2}{3}\) | |
| -\(\frac{4}{5}\) | |
| 7 | |
| 8 |
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.
5x + 4 = -3 + 6x
5x = -3 + 6x - 4
5x - 6x = -3 - 4
-x = -7
x = \( \frac{-7}{-1} \)
x = 7
If angle a = 69° and angle b = 68° what is the length of angle d?
| 111° | |
| 116° | |
| 120° | |
| 139° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 69° - 68° = 43°
So, d° = 68° + 43° = 111°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 69° = 111°