| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
What is 4a9 + 4a9?
| 16a9 | |
| 16a18 | |
| 8a9 | |
| 18 |
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.
4a9 + 4a9 = 8a9
Factor y2 + 3y - 40
| (y + 5)(y - 8) | |
| (y - 5)(y + 8) | |
| (y - 5)(y - 8) | |
| (y + 5)(y + 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -40 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -5 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 40
y2 + (-5 + 8)y + (-5 x 8)
(y - 5)(y + 8)
If angle a = 60° and angle b = 47° what is the length of angle c?
| 131° | |
| 54° | |
| 89° | |
| 73° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 47° = 73°
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
parallel |
|
equal angle |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
A right angle measures:
90° |
|
45° |
|
180° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.