| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Which of the following expressions contains exactly two terms?
binomial |
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monomial |
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quadratic |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The dimensions of this trapezoid are a = 4, b = 3, c = 6, d = 3, and h = 3. What is the area?
| 9 | |
| 14 | |
| 35 | |
| 15 |
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(3 + 3)(3)
a = ½(6)(3)
a = ½(18) = \( \frac{18}{2} \)
a = 9
What is 7a4 - 4a4?
| 3a4 | |
| 28a4 | |
| 3a8 | |
| 11a8 |
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.
7a4 - 4a4 = 3a4
Factor y2 + y - 20
| (y + 4)(y + 5) | |
| (y - 4)(y + 5) | |
| (y + 4)(y - 5) | |
| (y - 4)(y - 5) |
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 -20 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -4 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + y - 20
y2 + (-4 + 5)y + (-4 x 5)
(y - 4)(y + 5)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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vertical, supplementary |
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acute, obtuse |
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supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).