| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
A quadrilateral is a shape with __________ sides.
5 |
|
2 |
|
3 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
What is 7a7 + 5a7?
| 12a7 | |
| 12 | |
| 35a14 | |
| 35a7 |
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.
7a7 + 5a7 = 12a7
Factor y2 - 3y - 54
| (y + 9)(y + 6) | |
| (y + 9)(y - 6) | |
| (y - 9)(y + 6) | |
| (y - 9)(y - 6) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -54 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -9 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 3y - 54
y2 + (-9 + 6)y + (-9 x 6)
(y - 9)(y + 6)
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
|
4π r2 |
|
π r2h2 |
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 dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 8. What is the volume?
| 36 | |
| 120 | |
| 32 | |
| 24 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 5 x 8
v = 120