| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
What is the circumference of a circle with a radius of 12?
| 32π | |
| 19π | |
| 1π | |
| 24π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 12)
c = 24π
If the base of this triangle is 7 and the height is 1, what is the area?
| 45 | |
| 35 | |
| 60 | |
| 3\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 1 = \( \frac{7}{2} \) = 3\(\frac{1}{2}\)
Solve for a:
-4a - 4 > 8 - 2a
| a > -\(\frac{7}{9}\) | |
| a > 1\(\frac{3}{5}\) | |
| a > \(\frac{7}{8}\) | |
| a > -6 |
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.
-4a - 4 > 8 - 2a
-4a > 8 - 2a + 4
-4a + 2a > 8 + 4
-2a > 12
a > \( \frac{12}{-2} \)
a > -6
Solve for z:
-2z - 6 = -1 + 3z
| -\(\frac{2}{3}\) | |
| 1\(\frac{2}{7}\) | |
| 3 | |
| -1 |
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 equal sign and the answer on the other.
-2z - 6 = -1 + 3z
-2z = -1 + 3z + 6
-2z - 3z = -1 + 6
-5z = 5
z = \( \frac{5}{-5} \)
z = -1
Simplify (y + 2)(y + 2)
| y2 - 4 | |
| 70 | |
| y2 - 4y + 4 | |
| y2 + 4y + 4 |
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 + 2)(y + 2)
(y x y) + (y x 2) + (2 x y) + (2 x 2)
y2 + 2y + 2y + 4
y2 + 4y + 4