| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.65 |
| Score | 0% | 53% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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quadrilateral |
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triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Simplify (2a)(4ab) + (4a2)(8b).
| 72ab2 | |
| 40a2b | |
| 72a2b | |
| 40ab2 |
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)(4ab) + (4a2)(8b)
(2 x 4)(a x a x b) + (4 x 8)(a2 x b)
(8)(a1+1 x b) + (32)(a2b)
8a2b + 32a2b
40a2b
The endpoints of this line segment are at (-2, -3) and (2, 5). What is the slope of this line?
| -1 | |
| -\(\frac{1}{2}\) | |
| 2 | |
| -1\(\frac{1}{2}\) |
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, -3) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)The dimensions of this cylinder are height (h) = 8 and radius (r) = 9. What is the surface area?
| 306π | |
| 120π | |
| 100π | |
| 110π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 8)
sa = 2π(81) + 2π(72)
sa = (2 x 81)π + (2 x 72)π
sa = 162π + 144π
sa = 306π
Factor y2 + 10y + 9
| (y - 1)(y - 9) | |
| (y + 1)(y + 9) | |
| (y + 1)(y - 9) | |
| (y - 1)(y + 9) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 9 as well and sum (Inside, Outside) to equal 10. For this problem, those two numbers are 1 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 10y + 9
y2 + (1 + 9)y + (1 x 9)
(y + 1)(y + 9)