| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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squaring |
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factoring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
What is 7a - 4a?
| 3a | |
| 3a2 | |
| 28a | |
| 11a2 |
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.
7a - 4a = 3a
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.
Factor y2 + 15y + 56
| (y - 7)(y - 8) | |
| (y + 7)(y + 8) | |
| (y + 7)(y - 8) | |
| (y - 7)(y + 8) |
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 56 as well and sum (Inside, Outside) to equal 15. For this problem, those two numbers are 7 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 15y + 56
y2 + (7 + 8)y + (7 x 8)
(y + 7)(y + 8)
The dimensions of this trapezoid are a = 5, b = 2, c = 6, d = 9, and h = 3. What is the area?
| 16\(\frac{1}{2}\) | |
| 14 | |
| 27\(\frac{1}{2}\) | |
| 11 |
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(2 + 9)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)