| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
The endpoints of this line segment are at (-2, -1) and (2, -7). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| -3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)If a = c = 8, b = d = 4, what is the area of this rectangle?
| 5 | |
| 40 | |
| 32 | |
| 9 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 4
a = 32
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
h x l x w |
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.
Simplify (6a)(2ab) + (9a2)(6b).
| -42a2b | |
| 66a2b | |
| -42ab2 | |
| 42a2b |
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.
(6a)(2ab) + (9a2)(6b)
(6 x 2)(a x a x b) + (9 x 6)(a2 x b)
(12)(a1+1 x b) + (54)(a2b)
12a2b + 54a2b
66a2b
A(n) __________ is two expressions separated by an equal sign.
formula |
|
equation |
|
expression |
|
problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.