| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
Factor y2 - 18y + 81
| (y - 9)(y + 9) | |
| (y + 9)(y - 9) | |
| (y + 9)(y + 9) | |
| (y - 9)(y - 9) |
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 81 as well and sum (Inside, Outside) to equal -18. For this problem, those two numbers are -9 and -9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 18y + 81
y2 + (-9 - 9)y + (-9 x -9)
(y - 9)(y - 9)
If side a = 1, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{53} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{2} \) | |
| \( \sqrt{162} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 12
c2 = 1 + 1
c2 = 2
c = \( \sqrt{2} \)
Which of the following expressions contains exactly two terms?
polynomial |
|
monomial |
|
quadratic |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 38° and angle b = 67° what is the length of angle c?
| 77° | |
| 75° | |
| 79° | |
| 53° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 67° = 75°
If a = c = 5, b = d = 7, what is the area of this rectangle?
| 10 | |
| 35 | |
| 16 | |
| 45 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 7
a = 35