| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.74 |
| Score | 0% | 55% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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right angle |
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equal angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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trapezoid |
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rhombus |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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bisects |
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intersects |
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midpoints |
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.
Solve for y:
-4y - 8 = 5 + 2y
| -\(\frac{5}{8}\) | |
| -2\(\frac{1}{6}\) | |
| \(\frac{2}{7}\) | |
| -1\(\frac{2}{5}\) |
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.
-4y - 8 = 5 + 2y
-4y = 5 + 2y + 8
-4y - 2y = 5 + 8
-6y = 13
y = \( \frac{13}{-6} \)
y = -2\(\frac{1}{6}\)
Solve for b:
b2 - 15b + 25 = -4b - 3
| 1 or -2 | |
| -1 or -2 | |
| 9 or -3 | |
| 4 or 7 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 15b + 25 = -4b - 3
b2 - 15b + 25 + 3 = -4b
b2 - 15b + 4b + 28 = 0
b2 - 11b + 28 = 0
Next, factor the quadratic equation:
b2 - 11b + 28 = 0
(b - 4)(b - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 4) or (b - 7) must equal zero:
If (b - 4) = 0, b must equal 4
If (b - 7) = 0, b must equal 7
So the solution is that b = 4 or 7