| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
Solve 6a - 5a = 5a + 6x - 4 for a in terms of x.
| -\(\frac{3}{4}\)x - \(\frac{3}{4}\) | |
| 11x - 4 | |
| 1\(\frac{6}{7}\)x + 1\(\frac{2}{7}\) | |
| -\(\frac{7}{13}\)x + \(\frac{8}{13}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
6a - 5x = 5a + 6x - 4
6a = 5a + 6x - 4 + 5x
6a - 5a = 6x - 4 + 5x
a = 11x - 4
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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obtuse, acute |
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vertical, supplementary |
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acute, obtuse |
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).
Factor y2 - 13y + 36
| (y - 9)(y + 4) | |
| (y + 9)(y - 4) | |
| (y + 9)(y + 4) | |
| (y - 9)(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 36 as well and sum (Inside, Outside) to equal -13. For this problem, those two numbers are -9 and -4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 13y + 36
y2 + (-9 - 4)y + (-9 x -4)
(y - 9)(y - 4)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
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lw x wh + lh |
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h x l x w |
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h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).