| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.65 |
| Score | 0% | 73% |
The dimensions of this cube are height (h) = 6, length (l) = 8, and width (w) = 4. What is the surface area?
| 114 | |
| 208 | |
| 92 | |
| 94 |
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 8 x 4) + (2 x 4 x 6) + (2 x 8 x 6)
sa = (64) + (48) + (96)
sa = 208
A(n) __________ is two expressions separated by an equal sign.
problem |
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formula |
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expression |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Simplify 4a x 4b.
| 16\( \frac{b}{a} \) | |
| 16\( \frac{a}{b} \) | |
| 16a2b2 | |
| 16ab |
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 x 4b = (4 x 4) (a x b) = 16ab
What is the area of a circle with a diameter of 6?
| 8π | |
| 4π | |
| 9π | |
| 36π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
If a = c = 3, b = d = 6, what is the area of this rectangle?
| 18 | |
| 24 | |
| 35 | |
| 4 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 6
a = 18