| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
The endpoints of this line segment are at (-2, 2) and (2, -6). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| 2 | |
| -2 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 2) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)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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acute, obtuse |
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supplementary, vertical |
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vertical, supplementary |
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).
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Odd |
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Inside |
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Last |
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.
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
Solve for y:
7y - 7 < \( \frac{y}{-7} \)
| y < -\(\frac{3}{20}\) | |
| y < 1\(\frac{4}{5}\) | |
| y < 1\(\frac{2}{13}\) | |
| y < \(\frac{49}{50}\) |
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 < sign and the answer on the other.
7y - 7 < \( \frac{y}{-7} \)
-7 x (7y - 7) < y
(-7 x 7y) + (-7 x -7) < y
-49y + 49 < y
-49y + 49 - y < 0
-49y - y < -49
-50y < -49
y < \( \frac{-49}{-50} \)
y < \(\frac{49}{50}\)