| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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right, obtuse, acute |
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right, acute, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
A(n) __________ is two expressions separated by an equal sign.
problem |
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expression |
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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.
Solve for b:
-7b - 7 < \( \frac{b}{3} \)
| b < -2\(\frac{2}{9}\) | |
| b < \(\frac{15}{17}\) | |
| b < \(\frac{6}{13}\) | |
| b < -\(\frac{21}{22}\) |
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.
-7b - 7 < \( \frac{b}{3} \)
3 x (-7b - 7) < b
(3 x -7b) + (3 x -7) < b
-21b - 21 < b
-21b - 21 - b < 0
-21b - b < 21
-22b < 21
b < \( \frac{21}{-22} \)
b < -\(\frac{21}{22}\)
If BD = 13 and AD = 16, AB = ?
| 6 | |
| 15 | |
| 20 | |
| 3 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for a:
-2a - 7 > 6 + 7a
| a > -\(\frac{3}{4}\) | |
| a > -\(\frac{4}{7}\) | |
| a > -1\(\frac{4}{9}\) | |
| a > -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 > sign and the answer on the other.
-2a - 7 > 6 + 7a
-2a > 6 + 7a + 7
-2a - 7a > 6 + 7
-9a > 13
a > \( \frac{13}{-9} \)
a > -1\(\frac{4}{9}\)