| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
If the base of this triangle is 5 and the height is 2, what is the area?
| 36 | |
| 5 | |
| 58\(\frac{1}{2}\) | |
| 56 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 2 = \( \frac{10}{2} \) = 5
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
factoring |
|
normalizing |
|
deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The endpoints of this line segment are at (-2, -1) and (2, 9). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 1 | |
| 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, 9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(9.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)If c = 4 and y = -4, what is the value of -9c(c - y)?
| -288 | |
| 192 | |
| -60 | |
| 630 |
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.)
-9c(c - y)
-9(4)(4 + 4)
-9(4)(8)
(-36)(8)
-288
Solve for b:
-3b - 7 < -4 + 8b
| b < -\(\frac{3}{11}\) | |
| b < -3 | |
| b < \(\frac{1}{3}\) | |
| b < -2\(\frac{2}{3}\) |
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.
-3b - 7 < -4 + 8b
-3b < -4 + 8b + 7
-3b - 8b < -4 + 7
-11b < 3
b < \( \frac{3}{-11} \)
b < -\(\frac{3}{11}\)