| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
Which of the following expressions contains exactly two terms?
polynomial |
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monomial |
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quadratic |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
On this circle, line segment CD is the:
circumference |
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radius |
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diameter |
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chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for b:
b2 + 11b + 28 = 0
| 5 or 2 | |
| 3 or 2 | |
| -4 or -7 | |
| 1 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 11b + 28 = 0
(b + 4)(b + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 4) or (b + 7) must equal zero:
If (b + 4) = 0, b must equal -4
If (b + 7) = 0, b must equal -7
So the solution is that b = -4 or -7
The endpoints of this line segment are at (-2, -3) and (2, 3). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x + 0 | |
| y = 2\(\frac{1}{2}\)x - 3 | |
| y = -2\(\frac{1}{2}\)x + 0 | |
| y = x - 3 |
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 0. 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, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 0