| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
On this circle, a line segment connecting point A to point D is called:
circumference |
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radius |
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chord |
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diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for x:
x2 - 3x - 36 = -5x - 1
| -1 or -4 | |
| 5 or -7 | |
| 2 or -2 | |
| -4 or -4 |
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:
x2 - 3x - 36 = -5x - 1
x2 - 3x - 36 + 1 = -5x
x2 - 3x + 5x - 35 = 0
x2 + 2x - 35 = 0
Next, factor the quadratic equation:
x2 + 2x - 35 = 0
(x - 5)(x + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 5) or (x + 7) must equal zero:
If (x - 5) = 0, x must equal 5
If (x + 7) = 0, x must equal -7
So the solution is that x = 5 or -7
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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factoring |
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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.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
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h2 x l2 x w2 |
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lw x wh + lh |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
What is 6a4 - 3a4?
| 3a4 | |
| 3a8 | |
| 9 | |
| a48 |
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.
6a4 - 3a4 = 3a4