| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
Solve 5a + 7a = 8a - z + 7 for a in terms of z.
| -1\(\frac{1}{7}\)z + \(\frac{4}{7}\) | |
| -\(\frac{1}{11}\)z - \(\frac{8}{11}\) | |
| 2\(\frac{2}{3}\)z - 2\(\frac{1}{3}\) | |
| -z + \(\frac{1}{3}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
5a + 7z = 8a - z + 7
5a = 8a - z + 7 - 7z
5a - 8a = -z + 7 - 7z
-3a = -8z + 7
a = \( \frac{-8z + 7}{-3} \)
a = \( \frac{-8z}{-3} \) + \( \frac{7}{-3} \)
a = 2\(\frac{2}{3}\)z - 2\(\frac{1}{3}\)
If angle a = 27° and angle b = 63° what is the length of angle c?
| 100° | |
| 57° | |
| 118° | |
| 90° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 27° - 63° = 90°
Solve for z:
5z - 3 = -1 - 4z
| \(\frac{2}{9}\) | |
| 2 | |
| 1\(\frac{1}{8}\) | |
| \(\frac{3}{4}\) |
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.
5z - 3 = -1 - 4z
5z = -1 - 4z + 3
5z + 4z = -1 + 3
9z = 2
z = \( \frac{2}{9} \)
z = \(\frac{2}{9}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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triangle |
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quadrilateral |
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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.
A(n) __________ is two expressions separated by an equal sign.
expression |
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problem |
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equation |
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formula |
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.