| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.74 |
| Score | 0% | 55% |
Solve for x:
-2x - 7 < -1 + 3x
| x < \(\frac{1}{6}\) | |
| x < -1\(\frac{1}{5}\) | |
| x < -1\(\frac{2}{7}\) | |
| x < -\(\frac{7}{9}\) |
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.
-2x - 7 < -1 + 3x
-2x < -1 + 3x + 7
-2x - 3x < -1 + 7
-5x < 6
x < \( \frac{6}{-5} \)
x < -1\(\frac{1}{5}\)
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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a2 - c2 |
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c2 - a2 |
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c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal length |
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equal angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
The dimensions of this cylinder are height (h) = 1 and radius (r) = 6. What is the volume?
| 5π | |
| 36π | |
| 54π | |
| 50π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 1)
v = 36π
The endpoints of this line segment are at (-2, 2) and (2, 6). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 0 | |
| y = -3x - 2 | |
| y = x - 2 | |
| y = x + 4 |
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 4. 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x + 4