| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Factor y2 - 2y - 15
| (y - 5)(y - 3) | |
| (y + 5)(y - 3) | |
| (y + 5)(y + 3) | |
| (y - 5)(y + 3) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -15 as well and sum (Inside, Outside) to equal -2. For this problem, those two numbers are -5 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 2y - 15
y2 + (-5 + 3)y + (-5 x 3)
(y - 5)(y + 3)
The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope of this line?
| 1 | |
| -2\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| -3 |
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, 7) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)If a = c = 1, b = d = 2, what is the area of this rectangle?
| 40 | |
| 2 | |
| 8 | |
| 72 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
c - a |
|
c2 - a2 |
|
a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Simplify (7a)(2ab) + (2a2)(7b).
| 28a2b | |
| b2 | |
| 2b | |
| 81a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(7a)(2ab) + (2a2)(7b)
(7 x 2)(a x a x b) + (2 x 7)(a2 x b)
(14)(a1+1 x b) + (14)(a2b)
14a2b + 14a2b
28a2b