| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Factor y2 + 15y + 56
| (y + 7)(y + 8) | |
| (y - 7)(y + 8) | |
| (y + 7)(y - 8) | |
| (y - 7)(y - 8) |
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 56 as well and sum (Inside, Outside) to equal 15. For this problem, those two numbers are 7 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 15y + 56
y2 + (7 + 8)y + (7 x 8)
(y + 7)(y + 8)
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
2(π r2) + 2π rh |
|
π r2h |
|
π r2h2 |
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.
If a = 3, b = 3, c = 2, and d = 2, what is the perimeter of this quadrilateral?
| 23 | |
| 22 | |
| 18 | |
| 10 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 3 + 2 + 2
p = 10
If a = c = 5, b = d = 6, what is the area of this rectangle?
| 36 | |
| 30 | |
| 27 | |
| 16 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 6
a = 30
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
|
equilateral, isosceles and right |
|
isosceles and right |
|
equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.