| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 9. What is the surface area?
| 254 | |
| 32 | |
| 348 | |
| 352 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 9) + (2 x 9 x 8) + (2 x 6 x 8)
sa = (108) + (144) + (96)
sa = 348
Simplify (7a)(5ab) - (6a2)(5b).
| 132a2b | |
| 65ab2 | |
| -5ab2 | |
| 5a2b |
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.
(7a)(5ab) - (6a2)(5b)
(7 x 5)(a x a x b) - (6 x 5)(a2 x b)
(35)(a1+1 x b) - (30)(a2b)
35a2b - 30a2b
5a2b
The dimensions of this cylinder are height (h) = 8 and radius (r) = 5. What is the surface area?
| 288π | |
| 70π | |
| 324π | |
| 130π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 8)
sa = 2π(25) + 2π(40)
sa = (2 x 25)π + (2 x 40)π
sa = 50π + 80π
sa = 130π
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
4π r2 |
|
π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
division |
|
addition |
|
pairs |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)