| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If the base of this triangle is 6 and the height is 7, what is the area?
| 66 | |
| 21 | |
| 30 | |
| 35 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 7 = \( \frac{42}{2} \) = 21
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
acute, obtuse |
|
supplementary, vertical |
|
obtuse, acute |
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).
Factor y2 - 6y - 7
| (y + 7)(y - 1) | |
| (y + 7)(y + 1) | |
| (y - 7)(y + 1) | |
| (y - 7)(y - 1) |
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 -7 as well and sum (Inside, Outside) to equal -6. For this problem, those two numbers are -7 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 6y - 7
y2 + (-7 + 1)y + (-7 x 1)
(y - 7)(y + 1)
Simplify (8a)(7ab) - (7a2)(2b).
| 42a2b | |
| -42ab2 | |
| 70ab2 | |
| 70a2b |
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.
(8a)(7ab) - (7a2)(2b)
(8 x 7)(a x a x b) - (7 x 2)(a2 x b)
(56)(a1+1 x b) - (14)(a2b)
56a2b - 14a2b
42a2b