| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
A(n) __________ is two expressions separated by an equal sign.
expression |
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equation |
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formula |
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problem |
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.
Solve for y:
8y - 7 < 7 - 8y
| y < \(\frac{1}{2}\) | |
| y < \(\frac{1}{6}\) | |
| y < \(\frac{7}{8}\) | |
| y < -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 < sign and the answer on the other.
8y - 7 < 7 - 8y
8y < 7 - 8y + 7
8y + 8y < 7 + 7
16y < 14
y < \( \frac{14}{16} \)
y < \(\frac{7}{8}\)
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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trisects |
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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.
The dimensions of this cube are height (h) = 4, length (l) = 8, and width (w) = 2. What is the volume?
| 432 | |
| 336 | |
| 180 | |
| 64 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 8 x 2
v = 64
If angle a = 25° and angle b = 33° what is the length of angle d?
| 155° | |
| 152° | |
| 127° | |
| 130° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 25° - 33° = 122°
So, d° = 33° + 122° = 155°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 25° = 155°