| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
If a = c = 3, b = d = 6, what is the area of this rectangle?
| 1 | |
| 18 | |
| 42 | |
| 45 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 6
a = 18
A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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formula |
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expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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supplementary, vertical |
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acute, obtuse |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
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.
Find the value of b:
3b + x = 8
4b - x = 5
| 1\(\frac{6}{7}\) | |
| 1\(\frac{8}{11}\) | |
| -\(\frac{3}{17}\) | |
| \(\frac{17}{29}\) |
You need to find the value of b so solve the first equation in terms of x:
3b + x = 8
x = 8 - 3b
then substitute the result (8 - 3b) into the second equation:
4b - 1(8 - 3b) = 5
4b + (-1 x 8) + (-1 x -3b) = 5
4b - 8 + 3b = 5
4b + 3b = 5 + 8
7b = 13
b = \( \frac{13}{7} \)
b = 1\(\frac{6}{7}\)