| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
The endpoints of this line segment are at (-2, -3) and (2, -1). What is the slope of this line?
| -2 | |
| 3 | |
| -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, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)If a = 6, b = 7, c = 8, and d = 5, what is the perimeter of this quadrilateral?
| 21 | |
| 19 | |
| 23 | |
| 26 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 7 + 8 + 5
p = 26
Which of the following expressions contains exactly two terms?
monomial |
|
binomial |
|
polynomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The dimensions of this cylinder are height (h) = 6 and radius (r) = 3. What is the surface area?
| 66π | |
| 120π | |
| 54π | |
| 180π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 6)
sa = 2π(9) + 2π(18)
sa = (2 x 9)π + (2 x 18)π
sa = 18π + 36π
sa = 54π
Simplify (3a)(7ab) + (2a2)(5b).
| 31a2b | |
| 31ab2 | |
| -11a2b | |
| 70a2b |
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)(7ab) + (2a2)(5b)
(3 x 7)(a x a x b) + (2 x 5)(a2 x b)
(21)(a1+1 x b) + (10)(a2b)
21a2b + 10a2b
31a2b