| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
The dimensions of this cylinder are height (h) = 3 and radius (r) = 6. What is the volume?
| 147π | |
| 64π | |
| 36π | |
| 108π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 3)
v = 108π
If angle a = 21° and angle b = 58° what is the length of angle c?
| 47° | |
| 101° | |
| 106° | |
| 137° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 21° - 58° = 101°
If the base of this triangle is 9 and the height is 2, what is the area?
| 52 | |
| 49\(\frac{1}{2}\) | |
| 9 | |
| 38\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 2 = \( \frac{18}{2} \) = 9
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
addition |
|
exponents |
|
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.)
Simplify (4a)(3ab) - (4a2)(6b).
| 70a2b | |
| 70ab2 | |
| 12ab2 | |
| -12a2b |
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.
(4a)(3ab) - (4a2)(6b)
(4 x 3)(a x a x b) - (4 x 6)(a2 x b)
(12)(a1+1 x b) - (24)(a2b)
12a2b - 24a2b
-12a2b