| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 6. What is the surface area?
| 90π | |
| 84π | |
| 110π | |
| 48π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 1)
sa = 2π(36) + 2π(6)
sa = (2 x 36)π + (2 x 6)π
sa = 72π + 12π
sa = 84π
If a = c = 6, b = d = 1, and the blue angle = 73°, what is the area of this parallelogram?
| 6 | |
| 14 | |
| 28 | |
| 32 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 1
a = 6
Simplify (7a)(2ab) - (9a2)(6b).
| 135a2b | |
| 40ab2 | |
| 68ab2 | |
| -40a2b |
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)(2ab) - (9a2)(6b)
(7 x 2)(a x a x b) - (9 x 6)(a2 x b)
(14)(a1+1 x b) - (54)(a2b)
14a2b - 54a2b
-40a2b
A(n) __________ is two expressions separated by an equal sign.
expression |
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formula |
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problem |
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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.
Solve for x:
-9x - 1 > \( \frac{x}{9} \)
| x > -1\(\frac{5}{31}\) | |
| x > \(\frac{1}{2}\) | |
| x > -\(\frac{9}{82}\) | |
| x > -1\(\frac{2}{13}\) |
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 > sign and the answer on the other.
-9x - 1 > \( \frac{x}{9} \)
9 x (-9x - 1) > x
(9 x -9x) + (9 x -1) > x
-81x - 9 > x
-81x - 9 - x > 0
-81x - x > 9
-82x > 9
x > \( \frac{9}{-82} \)
x > -\(\frac{9}{82}\)