| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Simplify 2a x 2b.
| 4\( \frac{b}{a} \) | |
| 4a2b2 | |
| 4\( \frac{a}{b} \) | |
| 4ab |
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.
2a x 2b = (2 x 2) (a x b) = 4ab
The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the volume?
| 81π | |
| 6π | |
| 72π | |
| 18π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 9)
v = 81π
Solve for a:
a2 + 3a - 4 = 0
| 1 or -4 | |
| 1 or -6 | |
| 4 or -6 | |
| -5 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 3a - 4 = 0
(a - 1)(a + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 1) or (a + 4) must equal zero:
If (a - 1) = 0, a must equal 1
If (a + 4) = 0, a must equal -4
So the solution is that a = 1 or -4
On this circle, line segment CD is the:
circumference |
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chord |
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diameter |
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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).
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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quadrilateral |
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rhombus |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.