| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.50 |
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Solve 2b + b = b - 8z - 3 for b in terms of z.
| 1\(\frac{3}{5}\)z + \(\frac{1}{5}\) | |
| -9z - 3 | |
| 2z + 2 | |
| -z + 1\(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
2b + z = b - 8z - 3
2b = b - 8z - 3 - z
2b - b = -8z - 3 - z
b = -9z - 3
The endpoints of this line segment are at (-2, -3) and (2, 5). What is the slope of this line?
| 3 | |
| 2 | |
| -3 | |
| -1\(\frac{1}{2}\) |
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, -3) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)The formula for the area of a circle is which of the following?
a = π d |
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a = π r2 |
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a = π d2 |
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a = 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.
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
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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 |
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 z:
-3z + 6 > 3 + 5z
| z > 1 | |
| z > \(\frac{3}{8}\) | |
| z > \(\frac{1}{2}\) | |
| z > 2\(\frac{1}{4}\) |
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.
-3z + 6 > 3 + 5z
-3z > 3 + 5z - 6
-3z - 5z > 3 - 6
-8z > -3
z > \( \frac{-3}{-8} \)
z > \(\frac{3}{8}\)