| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Find the value of a:
3a + z = -4
8a - 5z = 9
| 3\(\frac{1}{4}\) | |
| -\(\frac{9}{11}\) | |
| -8\(\frac{1}{2}\) | |
| -\(\frac{11}{23}\) |
You need to find the value of a so solve the first equation in terms of z:
3a + z = -4
z = -4 - 3a
then substitute the result (-4 - 3a) into the second equation:
8a - 5(-4 - 3a) = 9
8a + (-5 x -4) + (-5 x -3a) = 9
8a + 20 + 15a = 9
8a + 15a = 9 - 20
23a = -11
a = \( \frac{-11}{23} \)
a = -\(\frac{11}{23}\)
Simplify (y + 4)(y + 2)
| y2 - 2y - 8 | |
| y2 + 6y + 8 | |
| y2 + 2y - 8 | |
| y2 - 6y + 8 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 4)(y + 2)
(y x y) + (y x 2) + (4 x y) + (4 x 2)
y2 + 2y + 4y + 8
y2 + 6y + 8
If the base of this triangle is 6 and the height is 4, what is the area?
| 78 | |
| 60 | |
| 12 | |
| 27\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 4 = \( \frac{24}{2} \) = 12
A coordinate grid is composed of which of the following?
origin |
|
all of these |
|
x-axis |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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deconstructing |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.