| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.45 |
| Score | 0% | 49% |
Solve for b:
b2 + 4b - 5 = 0
| 2 or -2 | |
| 1 or -5 | |
| 4 or -4 | |
| 1 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 4b - 5 = 0
(b - 1)(b + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 5) must equal zero:
If (b - 1) = 0, b must equal 1
If (b + 5) = 0, b must equal -5
So the solution is that b = 1 or -5
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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trisects |
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intersects |
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midpoints |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve for x:
x + 6 = -4 - 9x
| -\(\frac{7}{9}\) | |
| -1\(\frac{2}{7}\) | |
| \(\frac{5}{6}\) | |
| -1 |
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.
x + 6 = -4 - 9x
x = -4 - 9x - 6
x + 9x = -4 - 6
10x = -10
x = \( \frac{-10}{10} \)
x = -1
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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obtuse, acute |
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supplementary, vertical |
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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).
The formula for the area of a circle is which of the following?
c = π r2 |
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c = π d |
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c = π d2 |
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c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.