| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
h x l x w |
|
lw x wh + lh |
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.
What is 8a + 5a?
| 40a2 | |
| 3a2 | |
| 40a | |
| 13a |
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.
8a + 5a = 13a
The dimensions of this cylinder are height (h) = 8 and radius (r) = 5. What is the volume?
| 80π | |
| 200π | |
| 6π | |
| 128π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 8)
v = 200π
Simplify (8a)(2ab) - (7a2)(4b).
| 110ab2 | |
| 110a2b | |
| -12a2b | |
| 44ab2 |
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.
(8a)(2ab) - (7a2)(4b)
(8 x 2)(a x a x b) - (7 x 4)(a2 x b)
(16)(a1+1 x b) - (28)(a2b)
16a2b - 28a2b
-12a2b
Solve for y:
8y - 8 = 7 + 3y
| -1\(\frac{1}{2}\) | |
| 1 | |
| -1 | |
| 3 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
8y - 8 = 7 + 3y
8y = 7 + 3y + 8
8y - 3y = 7 + 8
5y = 15
y = \( \frac{15}{5} \)
y = 3