| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
If a = c = 3, b = d = 7, and the blue angle = 59°, what is the area of this parallelogram?
| 4 | |
| 21 | |
| 6 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 7
a = 21
The endpoints of this line segment are at (-2, 1) and (2, -1). What is the slope of this line?
| 1 | |
| -2\(\frac{1}{2}\) | |
| 2 | |
| -\(\frac{1}{2}\) |
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, 1) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)What is 8a8 + 9a8?
| 17a8 | |
| 72a16 | |
| -1 | |
| 17 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a8 + 9a8 = 17a8
If a = c = 7, b = d = 6, what is the area of this rectangle?
| 8 | |
| 27 | |
| 15 | |
| 42 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 6
a = 42
Solve for x:
4x + 7 = \( \frac{x}{-5} \)
| 3\(\frac{1}{5}\) | |
| -1\(\frac{2}{3}\) | |
| -2\(\frac{2}{27}\) | |
| 3\(\frac{3}{5}\) |
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.
4x + 7 = \( \frac{x}{-5} \)
-5 x (4x + 7) = x
(-5 x 4x) + (-5 x 7) = x
-20x - 35 = x
-20x - 35 - x = 0
-20x - x = 35
-21x = 35
x = \( \frac{35}{-21} \)
x = -1\(\frac{2}{3}\)