| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
The dimensions of this cylinder are height (h) = 3 and radius (r) = 7. What is the surface area?
| 270π | |
| 224π | |
| 140π | |
| 20π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 3)
sa = 2π(49) + 2π(21)
sa = (2 x 49)π + (2 x 21)π
sa = 98π + 42π
sa = 140π
What is 7a9 - 6a9?
| 1 | |
| 1a9 | |
| 13a18 | |
| a918 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a9 - 6a9 = 1a9
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
binomial |
|
polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If side a = 1, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{26} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{10} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 32
c2 = 1 + 9
c2 = 10
c = \( \sqrt{10} \)
Simplify (6a)(6ab) + (7a2)(2b).
| 108ab2 | |
| 50ab2 | |
| 50a2b | |
| 108a2b |
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.
(6a)(6ab) + (7a2)(2b)
(6 x 6)(a x a x b) + (7 x 2)(a2 x b)
(36)(a1+1 x b) + (14)(a2b)
36a2b + 14a2b
50a2b