| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
The formula for the area of a circle is which of the following?
a = π d2 |
|
a = π r |
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a = π r2 |
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a = π d |
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.
If a = 9 and x = 5, what is the value of 4a(a - x)?
| -132 | |
| 144 | |
| 720 | |
| -56 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
4a(a - x)
4(9)(9 - 5)
4(9)(4)
(36)(4)
144
If angle a = 31° and angle b = 30° what is the length of angle d?
| 149° | |
| 140° | |
| 155° | |
| 120° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 30° = 119°
So, d° = 30° + 119° = 149°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 31° = 149°
What is the circumference of a circle with a diameter of 2?
| 11π | |
| 36π | |
| 14π | |
| 2π |
The formula for circumference is circle diameter x π:
c = πd
c = 2π
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
deconstructing |
|
factoring |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.