| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
Which of the following expressions contains exactly two terms?
polynomial |
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binomial |
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monomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Factor y2 + 7y + 6
| (y + 1)(y + 6) | |
| (y + 1)(y - 6) | |
| (y - 1)(y - 6) | |
| (y - 1)(y + 6) |
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 6 as well and sum (Inside, Outside) to equal 7. For this problem, those two numbers are 1 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 7y + 6
y2 + (1 + 6)y + (1 x 6)
(y + 1)(y + 6)
If a = c = 2, b = d = 8, what is the area of this rectangle?
| 16 | |
| 30 | |
| 54 | |
| 28 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 8
a = 16
Simplify (y + 2)(y - 4)
| y2 - 6y + 8 | |
| y2 + 6y + 8 | |
| y2 - 2y - 8 | |
| y2 + 2y - 8 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 2)(y - 4)
(y x y) + (y x -4) + (2 x y) + (2 x -4)
y2 - 4y + 2y - 8
y2 - 2y - 8
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).