| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.71 |
| Score | 0% | 54% |
Solve for z:
-2z + 2 < 6 - 6z
| z < 1 | |
| z < -3 | |
| z < 5 | |
| z < -\(\frac{2}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-2z + 2 < 6 - 6z
-2z < 6 - 6z - 2
-2z + 6z < 6 - 2
4z < 4
z < \( \frac{4}{4} \)
z < 1
Solve -5a + 5a = -2a + x - 3 for a in terms of x.
| -1\(\frac{1}{6}\)x + \(\frac{1}{3}\) | |
| 2\(\frac{3}{4}\)x - 1\(\frac{3}{4}\) | |
| 7x + 3 | |
| 1\(\frac{1}{3}\)x + 1 |
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.
-5a + 5x = -2a + x - 3
-5a = -2a + x - 3 - 5x
-5a + 2a = x - 3 - 5x
-3a = -4x - 3
a = \( \frac{-4x - 3}{-3} \)
a = \( \frac{-4x}{-3} \) + \( \frac{-3}{-3} \)
a = 1\(\frac{1}{3}\)x + 1
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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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).
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.
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral and isosceles |
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isosceles 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.