| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
What is 8a3 - 7a3?
| 15a6 | |
| 15 | |
| 1a3 | |
| 1 |
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.
8a3 - 7a3 = 1a3
If angle a = 49° and angle b = 25° what is the length of angle d?
| 144° | |
| 127° | |
| 130° | |
| 131° |
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° - 49° - 25° = 106°
So, d° = 25° + 106° = 131°
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° - 49° = 131°
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
midpoints |
|
bisects |
|
intersects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
If a = c = 9, b = d = 4, and the blue angle = 77°, what is the area of this parallelogram?
| 8 | |
| 36 | |
| 24 | |
| 63 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 4
a = 36
Solve for z:
z2 - 9z + 18 = 0
| 3 or 6 | |
| 3 or -8 | |
| 2 or -9 | |
| -1 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 9z + 18 = 0
(z - 3)(z - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z - 6) must equal zero:
If (z - 3) = 0, z must equal 3
If (z - 6) = 0, z must equal 6
So the solution is that z = 3 or 6