| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
If a = c = 9, b = d = 7, what is the area of this rectangle?
| 63 | |
| 36 | |
| 7 | |
| 4 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 7
a = 63
Solve for x:
9x - 8 > 9 + x
| x > -1\(\frac{1}{2}\) | |
| x > \(\frac{1}{4}\) | |
| x > 2\(\frac{1}{8}\) | |
| x > -2\(\frac{1}{2}\) |
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.
9x - 8 > 9 + x
9x > 9 + x + 8
9x - x > 9 + 8
8x > 17
x > \( \frac{17}{8} \)
x > 2\(\frac{1}{8}\)
The dimensions of this trapezoid are a = 4, b = 8, c = 5, d = 5, and h = 2. What is the area?
| 19\(\frac{1}{2}\) | |
| 8 | |
| 28 | |
| 13 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 5)(2)
a = ½(13)(2)
a = ½(26) = \( \frac{26}{2} \)
a = 13
The endpoints of this line segment are at (-2, 2) and (2, 4). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 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, 2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (2.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
deconstructing |
|
squaring |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.