| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
What is 5a7 - 8a7?
| -3a14 | |
| 13 | |
| 40a14 | |
| -3a7 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a7 - 8a7 = -3a7
Solve for a:
-5a - 8 = \( \frac{a}{-7} \)
| -\(\frac{54}{73}\) | |
| -1\(\frac{11}{17}\) | |
| \(\frac{32}{35}\) | |
| \(\frac{2}{9}\) |
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.
-5a - 8 = \( \frac{a}{-7} \)
-7 x (-5a - 8) = a
(-7 x -5a) + (-7 x -8) = a
35a + 56 = a
35a + 56 - a = 0
35a - a = -56
34a = -56
a = \( \frac{-56}{34} \)
a = -1\(\frac{11}{17}\)
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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deconstructing |
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factoring |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, obtuse, acute |
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right, acute, obtuse |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.