| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.58 |
| Score | 0% | 52% |
Simplify (2a)(3ab) + (9a2)(2b).
| 12a2b | |
| 24ab2 | |
| 24a2b | |
| 55ab2 |
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.
(2a)(3ab) + (9a2)(2b)
(2 x 3)(a x a x b) + (9 x 2)(a2 x b)
(6)(a1+1 x b) + (18)(a2b)
6a2b + 18a2b
24a2b
The endpoints of this line segment are at (-2, 9) and (2, -1). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 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, 9) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)The dimensions of this trapezoid are a = 4, b = 9, c = 6, d = 8, and h = 3. What is the area?
| 24 | |
| 18 | |
| 25\(\frac{1}{2}\) | |
| 21 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 8)(3)
a = ½(17)(3)
a = ½(51) = \( \frac{51}{2} \)
a = 25\(\frac{1}{2}\)
On this circle, line segment CD is the:
radius |
|
chord |
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circumference |
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diameter |
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).
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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quadrilateral |
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rhombus |
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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.