| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
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| Score | 0% | 58% |
Solve for c:
4c - 3 > \( \frac{c}{8} \)
| c > \(\frac{8}{57}\) | |
| c > -\(\frac{8}{39}\) | |
| c > 1\(\frac{2}{3}\) | |
| c > \(\frac{24}{31}\) |
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.
4c - 3 > \( \frac{c}{8} \)
8 x (4c - 3) > c
(8 x 4c) + (8 x -3) > c
32c - 24 > c
32c - 24 - c > 0
32c - c > 24
31c > 24
c > \( \frac{24}{31} \)
c > \(\frac{24}{31}\)
A quadrilateral is a shape with __________ sides.
2 |
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3 |
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5 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The endpoints of this line segment are at (-2, -4) and (2, 2). What is the slope-intercept equation for this line?
| y = -2x - 1 | |
| y = 1\(\frac{1}{2}\)x - 1 | |
| y = -\(\frac{1}{2}\)x - 1 | |
| y = -x - 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -1. 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, -4) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x - 1
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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deconstructing |
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normalizing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following statements about parallel lines with a transversal is not correct?
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 |
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angles in the same position on different parallel lines are called corresponding 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°).