| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
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 |
|
h x l x w |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
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.
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal angle |
|
right angle |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
If a = 3, b = 8, c = 5, and d = 1, what is the perimeter of this quadrilateral?
| 18 | |
| 17 | |
| 23 | |
| 13 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 8 + 5 + 1
p = 17
If c = -6 and y = -8, what is the value of -6c(c - y)?
| 24 | |
| 72 | |
| -18 | |
| 32 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-6c(c - y)
-6(-6)(-6 + 8)
-6(-6)(2)
(36)(2)
72
Simplify (y - 9)(y + 2)
| y2 + 11y + 18 | |
| y2 - 7y - 18 | |
| y2 + 7y - 18 | |
| y2 - 11y + 18 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 9)(y + 2)
(y x y) + (y x 2) + (-9 x y) + (-9 x 2)
y2 + 2y - 9y - 18
y2 - 7y - 18