| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
The dimensions of this cube are height (h) = 6, length (l) = 5, and width (w) = 8. What is the surface area?
| 198 | |
| 62 | |
| 112 | |
| 236 |
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 5 x 8) + (2 x 8 x 6) + (2 x 5 x 6)
sa = (80) + (96) + (60)
sa = 236
Simplify (3a)(6ab) + (2a2)(2b).
| 36a2b | |
| 36ab2 | |
| 22a2b | |
| 14ab2 |
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.
(3a)(6ab) + (2a2)(2b)
(3 x 6)(a x a x b) + (2 x 2)(a2 x b)
(18)(a1+1 x b) + (4)(a2b)
18a2b + 4a2b
22a2b
A quadrilateral is a shape with __________ sides.
4 |
|
3 |
|
5 |
|
2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h2 |
|
π r2h |
|
2(π r2) + 2π rh |
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.
Solve 7b + 7b = -8b + 4z + 7 for b in terms of z.
| -\(\frac{1}{5}\)z + \(\frac{7}{15}\) | |
| \(\frac{2}{3}\)z - \(\frac{1}{6}\) | |
| 2z - \(\frac{1}{6}\) | |
| \(\frac{1}{2}\)z + \(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
7b + 7z = -8b + 4z + 7
7b = -8b + 4z + 7 - 7z
7b + 8b = 4z + 7 - 7z
15b = -3z + 7
b = \( \frac{-3z + 7}{15} \)
b = \( \frac{-3z}{15} \) + \( \frac{7}{15} \)
b = -\(\frac{1}{5}\)z + \(\frac{7}{15}\)