| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h x l x w |
|
h2 x l2 x w2 |
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(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
rhombus |
|
triangle |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for a:
a2 - 5a - 24 = 0
| -3 or 8 | |
| -2 or -4 | |
| 4 or -8 | |
| 9 or 3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 5a - 24 = 0
(a + 3)(a - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 8) must equal zero:
If (a + 3) = 0, a must equal -3
If (a - 8) = 0, a must equal 8
So the solution is that a = -3 or 8
Simplify (7a)(9ab) + (8a2)(3b).
| 39ab2 | |
| 87a2b | |
| 176a2b | |
| -39a2b |
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.
(7a)(9ab) + (8a2)(3b)
(7 x 9)(a x a x b) + (8 x 3)(a2 x b)
(63)(a1+1 x b) + (24)(a2b)
63a2b + 24a2b
87a2b
On this circle, line segment AB is the:
chord |
|
radius |
|
diameter |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).