| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
Simplify (4a)(2ab) + (8a2)(4b).
| 40a2b | |
| 24ab2 | |
| -24a2b | |
| 72ab2 |
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.
(4a)(2ab) + (8a2)(4b)
(4 x 2)(a x a x b) + (8 x 4)(a2 x b)
(8)(a1+1 x b) + (32)(a2b)
8a2b + 32a2b
40a2b
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 |
|
2lw x 2wh + 2lh |
|
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.
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
diameter |
|
chord |
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).
The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 5. What is the surface area?
| 262 | |
| 102 | |
| 38 | |
| 118 |
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 1 x 5) + (2 x 5 x 9) + (2 x 1 x 9)
sa = (10) + (90) + (18)
sa = 118
If side x = 14cm, side y = 14cm, and side z = 10cm what is the perimeter of this triangle?
| 26cm | |
| 38cm | |
| 31cm | |
| 37cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 14cm + 14cm + 10cm = 38cm