| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Solve for x:
5x + 9 > \( \frac{x}{-6} \)
| x > \(\frac{54}{73}\) | |
| x > 4\(\frac{1}{5}\) | |
| x > 2\(\frac{2}{23}\) | |
| x > -1\(\frac{23}{31}\) |
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.
5x + 9 > \( \frac{x}{-6} \)
-6 x (5x + 9) > x
(-6 x 5x) + (-6 x 9) > x
-30x - 54 > x
-30x - 54 - x > 0
-30x - x > 54
-31x > 54
x > \( \frac{54}{-31} \)
x > -1\(\frac{23}{31}\)
A(n) __________ is two expressions separated by an equal sign.
formula |
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equation |
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expression |
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problem |
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.
The dimensions of this cylinder are height (h) = 5 and radius (r) = 2. What is the volume?
| 18π | |
| 343π | |
| 9π | |
| 20π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 5)
v = 20π
If a = c = 6, b = d = 5, what is the area of this rectangle?
| 30 | |
| 5 | |
| 12 | |
| 10 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 5
a = 30
On this circle, line segment AB is the:
diameter |
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chord |
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circumference |
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radius |
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).