| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
A quadrilateral is a shape with __________ sides.
4 |
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3 |
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5 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The dimensions of this cube are height (h) = 3, length (l) = 3, and width (w) = 8. What is the volume?
| 56 | |
| 315 | |
| 42 | |
| 72 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 3 x 8
v = 72
Simplify (8a)(4ab) - (5a2)(5b).
| 7a2b | |
| -7ab2 | |
| 120a2b | |
| 57ab2 |
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)(4ab) - (5a2)(5b)
(8 x 4)(a x a x b) - (5 x 5)(a2 x b)
(32)(a1+1 x b) - (25)(a2b)
32a2b - 25a2b
7a2b
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 of the angles formed by a transversal are called interior angles |
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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 |
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°).
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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factoring |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.