| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
If a = c = 3, b = d = 5, what is the area of this rectangle?
| 28 | |
| 63 | |
| 18 | |
| 15 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 5
a = 15
The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 6. What is the surface area?
| 162 | |
| 92 | |
| 46 | |
| 264 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 6) + (2 x 6 x 8) + (2 x 6 x 8)
sa = (72) + (96) + (96)
sa = 264
This diagram represents two parallel lines with a transversal. If a° = 22, what is the value of z°?
| 158 | |
| 151 | |
| 39 | |
| 22 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with a° = 22, the value of z° is 22.
Simplify (3a)(4ab) - (4a2)(6b).
| 12ab2 | |
| 70ab2 | |
| 36ab2 | |
| -12a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(4ab) - (4a2)(6b)
(3 x 4)(a x a x b) - (4 x 6)(a2 x b)
(12)(a1+1 x b) - (24)(a2b)
12a2b - 24a2b
-12a2b
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
factoring |
|
squaring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.