| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
factoring |
|
normalizing |
|
squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Simplify (9a)(4ab) - (5a2)(3b).
| 21a2b | |
| 104a2b | |
| 51a2b | |
| 104ab2 |
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.
(9a)(4ab) - (5a2)(3b)
(9 x 4)(a x a x b) - (5 x 3)(a2 x b)
(36)(a1+1 x b) - (15)(a2b)
36a2b - 15a2b
21a2b
If a = 1, b = 4, c = 1, and d = 8, what is the perimeter of this quadrilateral?
| 20 | |
| 25 | |
| 28 | |
| 14 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 4 + 1 + 8
p = 14
If a = c = 5, b = d = 6, what is the area of this rectangle?
| 14 | |
| 3 | |
| 30 | |
| 4 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 6
a = 30
The endpoints of this line segment are at (-2, -8) and (2, 2). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x - 3 | |
| y = -3x + 0 | |
| y = 3x - 1 | |
| y = -\(\frac{1}{2}\)x - 3 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -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, -8) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x - 3