| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Solve for z:
z2 - 3z + 2 = 0
| 8 or 2 | |
| 1 or 2 | |
| 6 or -4 | |
| 4 or 3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 3z + 2 = 0
(z - 1)(z - 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z - 2) must equal zero:
If (z - 1) = 0, z must equal 1
If (z - 2) = 0, z must equal 2
So the solution is that z = 1 or 2
What is 2a5 - 2a5?
| 0a5 | |
| a510 | |
| 4 | |
| 0 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a5 - 2a5 = 0a5
What is the circumference of a circle with a radius of 9?
| 8π | |
| 6π | |
| 30π | |
| 18π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 9)
c = 18π
The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 2. What is the volume?
| 28 | |
| 24 | |
| 567 | |
| 168 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 3 x 2
v = 24
If angle a = 65° and angle b = 20° what is the length of angle d?
| 112° | |
| 151° | |
| 154° | |
| 115° |
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° - 65° - 20° = 95°
So, d° = 20° + 95° = 115°
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° - 65° = 115°