| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
What is 2a3 - 9a3?
| 11 | |
| -7a6 | |
| -7a3 | |
| -7 |
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.
2a3 - 9a3 = -7a3
Which of the following is not true about both rectangles and squares?
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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the area is length x width |
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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).
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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quadratic |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
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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all acute angles equal each other |
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same-side interior angles are complementary and 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°).
Solve for a:
-3a + 1 > \( \frac{a}{-8} \)
| a > \(\frac{5}{22}\) | |
| a > -\(\frac{21}{41}\) | |
| a > \(\frac{8}{23}\) | |
| a > 1\(\frac{4}{17}\) |
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.
-3a + 1 > \( \frac{a}{-8} \)
-8 x (-3a + 1) > a
(-8 x -3a) + (-8 x 1) > a
24a - 8 > a
24a - 8 - a > 0
24a - a > 8
23a > 8
a > \( \frac{8}{23} \)
a > \(\frac{8}{23}\)