| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
The dimensions of this trapezoid are a = 5, b = 2, c = 6, d = 3, and h = 4. What is the area?
| 10 | |
| 27\(\frac{1}{2}\) | |
| 11 | |
| 22 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 3)(4)
a = ½(5)(4)
a = ½(20) = \( \frac{20}{2} \)
a = 10
Which of the following expressions contains exactly two terms?
polynomial |
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binomial |
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quadratic |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 63° and angle b = 60° what is the length of angle c?
| 62° | |
| 103° | |
| 92° | |
| 57° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 63° - 60° = 57°
If side a = 2, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{13} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{97} \) | |
| \( \sqrt{90} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 32
c2 = 4 + 9
c2 = 13
c = \( \sqrt{13} \)
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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squaring |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.