| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
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.
Solve for y:
y2 - 16y + 47 = -2y + 2
| 5 or 9 | |
| 3 or -8 | |
| 8 or -5 | |
| 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:
y2 - 16y + 47 = -2y + 2
y2 - 16y + 47 - 2 = -2y
y2 - 16y + 2y + 45 = 0
y2 - 14y + 45 = 0
Next, factor the quadratic equation:
y2 - 14y + 45 = 0
(y - 5)(y - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 5) or (y - 9) must equal zero:
If (y - 5) = 0, y must equal 5
If (y - 9) = 0, y must equal 9
So the solution is that y = 5 or 9
If angle a = 60° and angle b = 61° what is the length of angle c?
| 64° | |
| 101° | |
| 63° | |
| 59° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 61° = 59°
On this circle, a line segment connecting point A to point D is called:
diameter |
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chord |
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circumference |
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radius |
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).
The dimensions of this cube are height (h) = 6, length (l) = 5, and width (w) = 9. What is the volume?
| 270 | |
| 8 | |
| 108 | |
| 504 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 5 x 9
v = 270