| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
If a = c = 8, b = d = 5, and the blue angle = 55°, what is the area of this parallelogram?
| 18 | |
| 40 | |
| 20 | |
| 24 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 5
a = 40
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
deconstructing |
|
squaring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for c:
c2 - 23 = -2c + 1
| 4 or -6 | |
| 8 or -7 | |
| 5 or -2 | |
| 3 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
c2 - 23 = -2c + 1
c2 - 23 - 1 = -2c
c2 + + 2c - 24 = 0
c2 + 2c - 24 = 0
Next, factor the quadratic equation:
c2 + 2c - 24 = 0
(c - 4)(c + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 4) or (c + 6) must equal zero:
If (c - 4) = 0, c must equal 4
If (c + 6) = 0, c must equal -6
So the solution is that c = 4 or -6
If c = -4 and x = -3, what is the value of 3c(c - x)?
| 12 | |
| 216 | |
| 75 | |
| -270 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
3c(c - x)
3(-4)(-4 + 3)
3(-4)(-1)
(-12)(-1)
12
The endpoints of this line segment are at (-2, 5) and (2, -5). What is the slope of this line?
| 3 | |
| -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, 5) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)