| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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right angle |
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equal angle |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
The endpoints of this line segment are at (-2, 8) and (2, -2). What is the slope-intercept equation for this line?
| y = 2x - 2 | |
| y = -2\(\frac{1}{2}\)x + 3 | |
| y = 2x + 0 | |
| y = 3x - 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 3. 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, 8) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 3
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Simplify (3a)(9ab) + (4a2)(8b).
| -5a2b | |
| 59a2b | |
| 5a2b | |
| 5ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(9ab) + (4a2)(8b)
(3 x 9)(a x a x b) + (4 x 8)(a2 x b)
(27)(a1+1 x b) + (32)(a2b)
27a2b + 32a2b
59a2b
This diagram represents two parallel lines with a transversal. If z° = 16, what is the value of w°?
| 157 | |
| 140 | |
| 38 | |
| 16 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with z° = 16, the value of w° is 16.