| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
Solve for a:
a + 4 < \( \frac{a}{-4} \)
| a < -1\(\frac{9}{23}\) | |
| a < -3\(\frac{1}{5}\) | |
| a < 3\(\frac{1}{2}\) | |
| a < -\(\frac{12}{55}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
a + 4 < \( \frac{a}{-4} \)
-4 x (a + 4) < a
(-4 x a) + (-4 x 4) < a
-4a - 16 < a
-4a - 16 - a < 0
-4a - a < 16
-5a < 16
a < \( \frac{16}{-5} \)
a < -3\(\frac{1}{5}\)
What is the circumference of a circle with a radius of 15?
| 16π | |
| 7π | |
| 30π | |
| 8π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 15)
c = 30π
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
|
parallel |
|
equal length |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
What is the area of a circle with a radius of 2?
| 9π | |
| 5π | |
| 4π | |
| 64π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
If angle a = 28° and angle b = 58° what is the length of angle d?
| 120° | |
| 159° | |
| 143° | |
| 152° |
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° - 28° - 58° = 94°
So, d° = 58° + 94° = 152°
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° - 28° = 152°