| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Solve for b:
b2 - 6b - 4 = -4b + 4
| 8 or 5 | |
| -2 or 4 | |
| 7 or -2 | |
| -3 or -5 |
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 - 6b - 4 = -4b + 4
b2 - 6b - 4 - 4 = -4b
b2 - 6b + 4b - 8 = 0
b2 - 2b - 8 = 0
Next, factor the quadratic equation:
b2 - 2b - 8 = 0
(b + 2)(b - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 2) or (b - 4) must equal zero:
If (b + 2) = 0, b must equal -2
If (b - 4) = 0, b must equal 4
So the solution is that b = -2 or 4
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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supplementary, vertical |
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vertical, supplementary |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
A right angle measures:
360° |
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45° |
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180° |
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90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Simplify (y + 2)(y + 6)
| y2 + 8y + 12 | |
| y2 + 4y - 12 | |
| y2 - 8y + 12 | |
| y2 - 4y - 12 |
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 + 2)(y + 6)
(y x y) + (y x 6) + (2 x y) + (2 x 6)
y2 + 6y + 2y + 12
y2 + 8y + 12
On this circle, line segment AB is the:
chord |
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radius |
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diameter |
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circumference |
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).