| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
If the base of this triangle is 9 and the height is 8, what is the area?
| 27 | |
| 20 | |
| 30 | |
| 36 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 8 = \( \frac{72}{2} \) = 36
The dimensions of this cylinder are height (h) = 8 and radius (r) = 9. What is the volume?
| 252π | |
| 648π | |
| 50π | |
| 216π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 8)
v = 648π
Simplify (y - 7)(y + 9)
| y2 + 2y - 63 | |
| y2 - 2y - 63 | |
| y2 + 16y + 63 | |
| y2 - 16y + 63 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 7)(y + 9)
(y x y) + (y x 9) + (-7 x y) + (-7 x 9)
y2 + 9y - 7y - 63
y2 + 2y - 63
The dimensions of this cylinder are height (h) = 8 and radius (r) = 2. What is the surface area?
| 4π | |
| 176π | |
| 40π | |
| 192π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 8)
sa = 2π(4) + 2π(16)
sa = (2 x 4)π + (2 x 16)π
sa = 8π + 32π
sa = 40π
Solve for z:
5z + 3 = 1 - 4z
| \(\frac{1}{8}\) | |
| -\(\frac{2}{9}\) | |
| -\(\frac{1}{2}\) | |
| -\(\frac{2}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
5z + 3 = 1 - 4z
5z = 1 - 4z - 3
5z + 4z = 1 - 3
9z = -2
z = \( \frac{-2}{9} \)
z = -\(\frac{2}{9}\)