| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
A coordinate grid is composed of which of the following?
all of these |
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y-axis |
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x-axis |
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origin |
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.
Simplify (4a)(2ab) + (6a2)(4b).
| -16a2b | |
| 60ab2 | |
| 32a2b | |
| 16ab2 |
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)(2ab) + (6a2)(4b)
(4 x 2)(a x a x b) + (6 x 4)(a2 x b)
(8)(a1+1 x b) + (24)(a2b)
8a2b + 24a2b
32a2b
What is 4a3 - 3a3?
| 1a3 | |
| 1 | |
| 7a6 | |
| a6 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a3 - 3a3 = 1a3
Which of the following statements about parallel lines with a transversal is not correct?
all of the angles formed by a transversal are called interior angles |
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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 |
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°).
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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triangle |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.