| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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squaring |
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deconstructing |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
What is the area of a circle with a diameter of 4?
| 8π | |
| 9π | |
| 3π | |
| 4π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π
What is 5a + 5a?
| 25a2 | |
| 10a | |
| a2 | |
| 0 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a + 5a = 10a
The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x - 2 | |
| y = x + 3 | |
| y = -3x - 4 | |
| y = -1\(\frac{1}{2}\)x + 2 |
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 -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, -7) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x - 2
If a = c = 3, b = d = 2, what is the area of this rectangle?
| 25 | |
| 32 | |
| 16 | |
| 6 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 2
a = 6