| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
The dimensions of this trapezoid are a = 4, b = 9, c = 6, d = 8, and h = 2. What is the area?
| 27\(\frac{1}{2}\) | |
| 9 | |
| 10 | |
| 17 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 8)(2)
a = ½(17)(2)
a = ½(34) = \( \frac{34}{2} \)
a = 17
On this circle, line segment AB is the:
circumference |
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diameter |
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chord |
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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).
What is 3a5 + 3a5?
| 0 | |
| 6 | |
| 9a10 | |
| 6a5 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a5 + 3a5 = 6a5
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
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you can subtract monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Factor y2 - 10y + 24
| (y - 6)(y - 4) | |
| (y + 6)(y - 4) | |
| (y + 6)(y + 4) | |
| (y - 6)(y + 4) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 24 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -6 and -4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 10y + 24
y2 + (-6 - 4)y + (-6 x -4)
(y - 6)(y - 4)