| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
If a = c = 2, b = d = 3, what is the area of this rectangle?
| 16 | |
| 6 | |
| 63 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 3
a = 6
Factor y2 + 2y - 35
| (y - 5)(y - 7) | |
| (y + 5)(y - 7) | |
| (y + 5)(y + 7) | |
| (y - 5)(y + 7) |
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 -35 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -5 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 2y - 35
y2 + (-5 + 7)y + (-5 x 7)
(y - 5)(y + 7)
What is the area of a circle with a diameter of 6?
| 2π | |
| 36π | |
| 9π | |
| 4π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π d2 |
|
a = π d |
|
a = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
acute, obtuse |
|
vertical, supplementary |
|
obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).