| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
If a = c = 4, b = d = 5, what is the area of this rectangle?
| 9 | |
| 24 | |
| 8 | |
| 20 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 5
a = 20
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
deconstructing |
|
factoring |
|
squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If the base of this triangle is 1 and the height is 8, what is the area?
| 37\(\frac{1}{2}\) | |
| 55 | |
| 4 | |
| 70 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 8 = \( \frac{8}{2} \) = 4
What is 4a4 - 3a4?
| a48 | |
| 1a4 | |
| 1 | |
| 7 |
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.
4a4 - 3a4 = 1a4
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
c - a |
|
a2 - c2 |
|
c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)