| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
What is the circumference of a circle with a diameter of 3?
| 3π | |
| 11π | |
| 36π | |
| 2π |
The formula for circumference is circle diameter x π:
c = πd
c = 3π
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).
Simplify (y - 6)(y + 2)
| y2 - 4y - 12 | |
| y2 - 8y + 12 | |
| y2 + 4y - 12 | |
| y2 + 8y + 12 |
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 - 6)(y + 2)
(y x y) + (y x 2) + (-6 x y) + (-6 x 2)
y2 + 2y - 6y - 12
y2 - 4y - 12
If a = c = 3, b = d = 9, and the blue angle = 63°, what is the area of this parallelogram?
| 49 | |
| 27 | |
| 30 | |
| 72 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 9
a = 27
Solve 7b + 7b = 8b - 4y + 9 for b in terms of y.
| 3y + 1\(\frac{1}{2}\) | |
| \(\frac{1}{8}\)y - \(\frac{9}{16}\) | |
| 11y - 9 | |
| 1\(\frac{1}{8}\)y - 1 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
7b + 7y = 8b - 4y + 9
7b = 8b - 4y + 9 - 7y
7b - 8b = -4y + 9 - 7y
-b = -11y + 9
b = \( \frac{-11y + 9}{-1} \)
b = \( \frac{-11y}{-1} \) + \( \frac{9}{-1} \)
b = 11y - 9