| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
If a = c = 7, b = d = 8, what is the area of this rectangle?
| 56 | |
| 40 | |
| 35 | |
| 16 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56
Factor y2 - 15y + 54
| (y - 9)(y + 6) | |
| (y + 9)(y + 6) | |
| (y - 9)(y - 6) | |
| (y + 9)(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 54 as well and sum (Inside, Outside) to equal -15. For this problem, those two numbers are -9 and -6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 15y + 54
y2 + (-9 - 6)y + (-9 x -6)
(y - 9)(y - 6)
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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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 area of a parallelogram is base x height |
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).
A coordinate grid is composed of which of the following?
origin |
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x-axis |
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all of these |
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y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
What is 7a9 - 8a9?
| 56a9 | |
| -1a9 | |
| -a18 | |
| 15 |
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.
7a9 - 8a9 = -1a9