| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
|
rhombus |
|
trapezoid |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is 8a - 9a?
| a2 | |
| 17a2 | |
| -1a | |
| -a2 |
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.
8a - 9a = -1a
If a = 2, b = 5, c = 3, and d = 4, what is the perimeter of this quadrilateral?
| 14 | |
| 26 | |
| 25 | |
| 16 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 5 + 3 + 4
p = 14
Simplify (5a)(8ab) + (5a2)(5b).
| 65a2b | |
| 130a2b | |
| 65ab2 | |
| 15ab2 |
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.
(5a)(8ab) + (5a2)(5b)
(5 x 8)(a x a x b) + (5 x 5)(a2 x b)
(40)(a1+1 x b) + (25)(a2b)
40a2b + 25a2b
65a2b
The dimensions of this cylinder are height (h) = 5 and radius (r) = 1. What is the surface area?
| 12π | |
| 144π | |
| 176π | |
| 182π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 5)
sa = 2π(1) + 2π(5)
sa = (2 x 1)π + (2 x 5)π
sa = 2π + 10π
sa = 12π