| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
Solve 9b - 9b = -4b + 3y + 4 for b in terms of y.
| \(\frac{7}{12}\)y - \(\frac{2}{3}\) | |
| -1\(\frac{3}{7}\)y + \(\frac{4}{7}\) | |
| y - \(\frac{9}{14}\) | |
| \(\frac{12}{13}\)y + \(\frac{4}{13}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
9b - 9y = -4b + 3y + 4
9b = -4b + 3y + 4 + 9y
9b + 4b = 3y + 4 + 9y
13b = 12y + 4
b = \( \frac{12y + 4}{13} \)
b = \( \frac{12y}{13} \) + \( \frac{4}{13} \)
b = \(\frac{12}{13}\)y + \(\frac{4}{13}\)
If the base of this triangle is 6 and the height is 2, what is the area?
| 27\(\frac{1}{2}\) | |
| 54 | |
| 15 | |
| 6 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 2 = \( \frac{12}{2} \) = 6
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).
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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vertical, supplementary |
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obtuse, acute |
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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).
Simplify (y - 9)(y + 1)
| y2 - 8y - 9 | |
| y2 + 8y - 9 | |
| y2 - 10y + 9 | |
| y2 + 10y + 9 |
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 - 9)(y + 1)
(y x y) + (y x 1) + (-9 x y) + (-9 x 1)
y2 + y - 9y - 9
y2 - 8y - 9