| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Simplify 4a x 6b.
| 24\( \frac{a}{b} \) | |
| 24ab | |
| 10ab | |
| 24a2b2 |
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.
4a x 6b = (4 x 6) (a x b) = 24ab
Solve for a:
a2 - 10a + 24 = 0
| 4 or 6 | |
| 9 or -8 | |
| -7 or -8 | |
| 7 or 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 10a + 24 = 0
(a - 4)(a - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 4) or (a - 6) must equal zero:
If (a - 4) = 0, a must equal 4
If (a - 6) = 0, a must equal 6
So the solution is that a = 4 or 6
The endpoints of this line segment are at (-2, -1) and (2, -7). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| -3 | |
| 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)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 |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
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.
What is 9a + 8a?
| 17a | |
| 72a | |
| a2 | |
| 17 |
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.
9a + 8a = 17a