| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
vertical, supplementary |
|
acute, obtuse |
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supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The dimensions of this cube are height (h) = 3, length (l) = 9, and width (w) = 6. What is the surface area?
| 142 | |
| 198 | |
| 46 | |
| 94 |
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 9 x 6) + (2 x 6 x 3) + (2 x 9 x 3)
sa = (108) + (36) + (54)
sa = 198
If a = c = 3, b = d = 7, what is the area of this rectangle?
| 28 | |
| 21 | |
| 24 | |
| 15 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 7
a = 21
Simplify 3a x 2b.
| 6ab | |
| 6\( \frac{b}{a} \) | |
| 5ab | |
| 6a2b2 |
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 x 2b = (3 x 2) (a x b) = 6ab
Factor y2 - 9
| (y - 3)(y + 3) | |
| (y - 3)(y - 3) | |
| (y + 3)(y - 3) | |
| (y + 3)(y + 3) |
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 -9 as well and sum (Inside, Outside) to equal 0. For this problem, those two numbers are -3 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 9
y2 + (-3 + 3)y + (-3 x 3)
(y - 3)(y + 3)