| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
What is 4a + 6a?
| a2 | |
| 10a | |
| 10a2 | |
| 10 |
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 + 6a = 10a
A coordinate grid is composed of which of the following?
origin |
|
y-axis |
|
x-axis |
|
all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cube are height (h) = 1, length (l) = 4, and width (w) = 7. What is the surface area?
| 232 | |
| 166 | |
| 32 | |
| 78 |
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 4 x 7) + (2 x 7 x 1) + (2 x 4 x 1)
sa = (56) + (14) + (8)
sa = 78
Solve for y:
y2 + 6y - 27 = 0
| -1 or -8 | |
| 9 or 6 | |
| 9 or -6 | |
| 3 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 6y - 27 = 0
(y - 3)(y + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y + 9) must equal zero:
If (y - 3) = 0, y must equal 3
If (y + 9) = 0, y must equal -9
So the solution is that y = 3 or -9
What is the area of a circle with a radius of 4?
| 8π | |
| 49π | |
| 16π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π