| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
Find the value of c:
2c + y = 9
6c + 9y = -9
| -\(\frac{2}{21}\) | |
| 7\(\frac{1}{2}\) | |
| -\(\frac{33}{43}\) | |
| -\(\frac{71}{77}\) |
You need to find the value of c so solve the first equation in terms of y:
2c + y = 9
y = 9 - 2c
then substitute the result (9 - 2c) into the second equation:
6c + 9(9 - 2c) = -9
6c + (9 x 9) + (9 x -2c) = -9
6c + 81 - 18c = -9
6c - 18c = -9 - 81
-12c = -90
c = \( \frac{-90}{-12} \)
c = 7\(\frac{1}{2}\)
A coordinate grid is composed of which of the following?
origin |
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y-axis |
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all of these |
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x-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.
If a = 3, b = 9, c = 5, and d = 4, what is the perimeter of this quadrilateral?
| 23 | |
| 21 | |
| 14 | |
| 30 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 9 + 5 + 4
p = 21
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
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2lw x 2wh + 2lh |
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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.