| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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midpoints |
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bisects |
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trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Simplify 8a x 2b.
| 16ab | |
| 16\( \frac{a}{b} \) | |
| 16\( \frac{b}{a} \) | |
| 16a2b2 |
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 x 2b = (8 x 2) (a x b) = 16ab
If c = -3 and x = 5, what is the value of 5c(c - x)?
| -168 | |
| 75 | |
| 72 | |
| 120 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
5c(c - x)
5(-3)(-3 - 5)
5(-3)(-8)
(-15)(-8)
120
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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angles in the same position on different parallel lines are called corresponding angles |
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same-side interior angles are complementary and equal each other |
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°).
Factor y2 - 6y - 16
| (y + 8)(y + 2) | |
| (y - 8)(y - 2) | |
| (y + 8)(y - 2) | |
| (y - 8)(y + 2) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -16 as well and sum (Inside, Outside) to equal -6. For this problem, those two numbers are -8 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 6y - 16
y2 + (-8 + 2)y + (-8 x 2)
(y - 8)(y + 2)