| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
What is 3a - 6a?
| 18a2 | |
| 9 | |
| a2 | |
| -3a |
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.
3a - 6a = -3a
Which of the following statements about parallel lines with a transversal is not correct?
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 |
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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°).
Solve -2b + 6b = -3b + 8z - 6 for b in terms of z.
| -12z + 8 | |
| \(\frac{4}{5}\)z - \(\frac{1}{5}\) | |
| 1\(\frac{1}{3}\)z - 2\(\frac{1}{3}\) | |
| 2z - 6 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-2b + 6z = -3b + 8z - 6
-2b = -3b + 8z - 6 - 6z
-2b + 3b = 8z - 6 - 6z
b = 2z - 6
Solve for c:
-7c - 1 = 6 - 2c
| \(\frac{3}{7}\) | |
| -1\(\frac{2}{5}\) | |
| \(\frac{5}{9}\) | |
| 2\(\frac{1}{2}\) |
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 equal sign and the answer on the other.
-7c - 1 = 6 - 2c
-7c = 6 - 2c + 1
-7c + 2c = 6 + 1
-5c = 7
c = \( \frac{7}{-5} \)
c = -1\(\frac{2}{5}\)
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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lw x wh + lh |
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2lw x 2wh + 2lh |
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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.