| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Simplify (6a)(3ab) + (8a2)(4b).
| 50a2b | |
| 14a2b | |
| 108ab2 | |
| 108a2b |
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)(3ab) + (8a2)(4b)
(6 x 3)(a x a x b) + (8 x 4)(a2 x b)
(18)(a1+1 x b) + (32)(a2b)
18a2b + 32a2b
50a2b
What is 4a + 4a?
| 8a | |
| 8 | |
| 8a2 | |
| 16a2 |
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.
4a + 4a = 8a
What is 5a - 8a?
| -3 | |
| -3a | |
| 13 | |
| -3a2 |
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.
5a - 8a = -3a
The endpoints of this line segment are at (-2, 1) and (2, -3). What is the slope of this line?
| -1 | |
| -2\(\frac{1}{2}\) | |
| 3 | |
| 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, 1) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)The dimensions of this cube are height (h) = 6, length (l) = 1, and width (w) = 8. What is the surface area?
| 94 | |
| 280 | |
| 254 | |
| 124 |
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 1 x 8) + (2 x 8 x 6) + (2 x 1 x 6)
sa = (16) + (96) + (12)
sa = 124