| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 9. What is the volume?
| 189 | |
| 56 | |
| 216 | |
| 448 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 3 x 9
v = 189
What is 8a9 - 7a9?
| 56a9 | |
| 1a9 | |
| a18 | |
| 1 |
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.
8a9 - 7a9 = 1a9
Simplify (5a)(2ab) + (8a2)(5b).
| 30a2b | |
| 50a2b | |
| 30ab2 | |
| -30a2b |
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.
(5a)(2ab) + (8a2)(5b)
(5 x 2)(a x a x b) + (8 x 5)(a2 x b)
(10)(a1+1 x b) + (40)(a2b)
10a2b + 40a2b
50a2b
If AD = 21 and BD = 14, AB = ?
| 7 | |
| 3 | |
| 5 | |
| 19 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD
The endpoints of this line segment are at (-2, -7) and (2, 5). What is the slope of this line?
| 2 | |
| 3 | |
| \(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) |
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, -7) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)