| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Solve for x:
-3x + 4 = \( \frac{x}{-1} \)
| 2 | |
| -\(\frac{28}{31}\) | |
| \(\frac{18}{23}\) | |
| \(\frac{5}{46}\) |
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.
-3x + 4 = \( \frac{x}{-1} \)
-1 x (-3x + 4) = x
(-1 x -3x) + (-1 x 4) = x
3x - 4 = x
3x - 4 - x = 0
3x - x = 4
2x = 4
x = \( \frac{4}{2} \)
x = 2
If angle a = 34° and angle b = 29° what is the length of angle d?
| 117° | |
| 137° | |
| 143° | |
| 146° |
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° - 34° - 29° = 117°
So, d° = 29° + 117° = 146°
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° - 34° = 146°
If angle a = 32° and angle b = 66° what is the length of angle c?
| 75° | |
| 82° | |
| 52° | |
| 89° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 32° - 66° = 82°
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
h x l x w |
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.
A coordinate grid is composed of which of the following?
all of these |
|
origin |
|
y-axis |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.