| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
A right angle measures:
360° |
|
90° |
|
180° |
|
45° |
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.
If the base of this triangle is 1 and the height is 6, what is the area?
| 3 | |
| 84\(\frac{1}{2}\) | |
| 77 | |
| 60\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 6 = \( \frac{6}{2} \) = 3
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
polynomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If AD = 15 and BD = 13, AB = ?
| 2 | |
| 1 | |
| 8 | |
| 11 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDFactor y2 + y - 30
| (y - 5)(y + 6) | |
| (y + 5)(y + 6) | |
| (y + 5)(y - 6) | |
| (y - 5)(y - 6) |
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 -30 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -5 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + y - 30
y2 + (-5 + 6)y + (-5 x 6)
(y - 5)(y + 6)