| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
A right angle measures:
90° |
|
360° |
|
180° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Simplify (y - 9)(y - 7)
| 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 - 9)(y - 7)
(y x y) + (y x -7) + (-9 x y) + (-9 x -7)
y2 - 7y - 9y + 63
y2 - 16y + 63
The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the surface area?
| 72π | |
| 216π | |
| 10π | |
| 4π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 4)
sa = 2π(1) + 2π(4)
sa = (2 x 1)π + (2 x 4)π
sa = 2π + 8π
sa = 10π
Factor y2 + 3y - 54
| (y - 6)(y - 9) | |
| (y + 6)(y - 9) | |
| (y - 6)(y + 9) | |
| (y + 6)(y + 9) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -54 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -6 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 54
y2 + (-6 + 9)y + (-6 x 9)
(y - 6)(y + 9)
If a = c = 3, b = d = 4, what is the area of this rectangle?
| 12 | |
| 63 | |
| 72 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12