| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
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h2 x l2 x w2 |
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2lw x 2wh + 2lh |
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lw x wh + lh |
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.
Simplify (3a)(3ab) - (5a2)(4b).
| 29a2b | |
| 11ab2 | |
| 54a2b | |
| -11a2b |
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.
(3a)(3ab) - (5a2)(4b)
(3 x 3)(a x a x b) - (5 x 4)(a2 x b)
(9)(a1+1 x b) - (20)(a2b)
9a2b - 20a2b
-11a2b
The endpoints of this line segment are at (-2, -6) and (2, -2). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -3 | |
| 3 | |
| 1 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -6) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Simplify 4a x 8b.
| 32ab | |
| 32\( \frac{a}{b} \) | |
| 32a2b2 | |
| 12ab |
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.
4a x 8b = (4 x 8) (a x b) = 32ab
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
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all acute angles equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
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all of the angles formed by a transversal are called interior angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).