| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
Solve for a:
3a - 2 > \( \frac{a}{-1} \)
| a > -\(\frac{12}{17}\) | |
| a > -\(\frac{9}{55}\) | |
| a > 1\(\frac{25}{39}\) | |
| a > \(\frac{1}{2}\) |
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.
3a - 2 > \( \frac{a}{-1} \)
-1 x (3a - 2) > a
(-1 x 3a) + (-1 x -2) > a
-3a + 2 > a
-3a + 2 - a > 0
-3a - a > -2
-4a > -2
a > \( \frac{-2}{-4} \)
a > \(\frac{1}{2}\)
The endpoints of this line segment are at (-2, -4) and (2, 8). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 0 | |
| y = 1\(\frac{1}{2}\)x - 2 | |
| y = 3x + 2 | |
| y = 2\(\frac{1}{2}\)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 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, -4) and (2, 8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x + 2
Which of the following expressions contains exactly two terms?
monomial |
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quadratic |
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binomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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rhombus |
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quadrilateral |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The formula for the area of a circle is which of the following?
a = π d2 |
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a = π r2 |
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a = π d |
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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.