| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
A coordinate grid is composed of which of the following?
all of these |
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x-axis |
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y-axis |
|
origin |
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.
Solve for y:
-2y - 9 = \( \frac{y}{-1} \)
| -\(\frac{24}{29}\) | |
| \(\frac{3}{5}\) | |
| \(\frac{2}{5}\) | |
| -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.
-2y - 9 = \( \frac{y}{-1} \)
-1 x (-2y - 9) = y
(-1 x -2y) + (-1 x -9) = y
2y + 9 = y
2y + 9 - y = 0
2y - y = -9
y = -9
y = \( \frac{-9}{1} \)
y = -9
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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squaring |
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normalizing |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 6. What is the surface area?
| 288 | |
| 92 | |
| 54 | |
| 118 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 6) + (2 x 6 x 9) + (2 x 6 x 9)
sa = (72) + (108) + (108)
sa = 288
Solve for b:
b2 - 5b + 13 = 4b - 5
| 9 or -1 | |
| 7 or -2 | |
| 3 or 6 | |
| 9 or 2 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 5b + 13 = 4b - 5
b2 - 5b + 13 + 5 = 4b
b2 - 5b - 4b + 18 = 0
b2 - 9b + 18 = 0
Next, factor the quadratic equation:
b2 - 9b + 18 = 0
(b - 3)(b - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 3) or (b - 6) must equal zero:
If (b - 3) = 0, b must equal 3
If (b - 6) = 0, b must equal 6
So the solution is that b = 3 or 6