| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
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.
Solve for b:
4b - 5 > 5 - 8b
| b > \(\frac{1}{6}\) | |
| b > 1 | |
| b > \(\frac{5}{6}\) | |
| b > \(\frac{7}{8}\) |
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.
4b - 5 > 5 - 8b
4b > 5 - 8b + 5
4b + 8b > 5 + 5
12b > 10
b > \( \frac{10}{12} \)
b > \(\frac{5}{6}\)
Which of the following is not true about both rectangles and squares?
the area is length x width |
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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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all interior angles are right angles |
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).
Simplify (8a)(8ab) - (6a2)(7b).
| 106ab2 | |
| 208ab2 | |
| 106a2b | |
| 22a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(8a)(8ab) - (6a2)(7b)
(8 x 8)(a x a x b) - (6 x 7)(a2 x b)
(64)(a1+1 x b) - (42)(a2b)
64a2b - 42a2b
22a2b
On this circle, line segment AB is the:
chord |
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radius |
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circumference |
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diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).