| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
What is 2a3 + 4a3?
| 6a3 | |
| 6a6 | |
| -2 | |
| 6 |
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.
2a3 + 4a3 = 6a3
Solve for y:
y2 - y - 12 = 0
| 9 or -7 | |
| -3 or 4 | |
| 8 or -2 | |
| 6 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - y - 12 = 0
(y + 3)(y - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y - 4) must equal zero:
If (y + 3) = 0, y must equal -3
If (y - 4) = 0, y must equal 4
So the solution is that y = -3 or 4
The endpoints of this line segment are at (-2, -1) and (2, 9). What is the slope of this line?
| \(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| 1 | |
| -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, 9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(9.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
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.