| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.69 |
| Score | 0% | 54% |
Solve for x:
-6x - 3 > -5 - 9x
| x > \(\frac{3}{8}\) | |
| x > -\(\frac{2}{3}\) | |
| x > -\(\frac{3}{4}\) | |
| x > -1\(\frac{3}{4}\) |
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.
-6x - 3 > -5 - 9x
-6x > -5 - 9x + 3
-6x + 9x > -5 + 3
3x > -2
x > \( \frac{-2}{3} \)
x > -\(\frac{2}{3}\)
The dimensions of this cylinder are height (h) = 3 and radius (r) = 4. What is the surface area?
| 224π | |
| 56π | |
| 32π | |
| 96π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 3)
sa = 2π(16) + 2π(12)
sa = (2 x 16)π + (2 x 12)π
sa = 32π + 24π
sa = 56π
On this circle, a line segment connecting point A to point D is called:
radius |
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chord |
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circumference |
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diameter |
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 formula for the area of a circle is which of the following?
c = π r2 |
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c = π d |
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c = π r |
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c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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addition |
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pairs |
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division |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)