| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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squaring |
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factoring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
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y-intercept |
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slope |
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x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
If a = c = 1, b = d = 6, and the blue angle = 67°, what is the area of this parallelogram?
| 6 | |
| 2 | |
| 35 | |
| 15 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 6
a = 6
Solve for a:
9a + 7 = 4 + 8a
| \(\frac{2}{9}\) | |
| 2\(\frac{1}{4}\) | |
| -3 | |
| \(\frac{1}{9}\) |
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 equal sign and the answer on the other.
9a + 7 = 4 + 8a
9a = 4 + 8a - 7
9a - 8a = 4 - 7
a = -3
Find the value of c:
-6c + y = -5
4c - 7y = -4
| \(\frac{53}{84}\) | |
| \(\frac{9}{13}\) | |
| -1\(\frac{7}{11}\) | |
| 1\(\frac{1}{38}\) |
You need to find the value of c so solve the first equation in terms of y:
-6c + y = -5
y = -5 + 6c
then substitute the result (-5 - -6c) into the second equation:
4c - 7(-5 + 6c) = -4
4c + (-7 x -5) + (-7 x 6c) = -4
4c + 35 - 42c = -4
4c - 42c = -4 - 35
-38c = -39
c = \( \frac{-39}{-38} \)
c = 1\(\frac{1}{38}\)