| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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acute, obtuse |
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supplementary, vertical |
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obtuse, acute |
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).
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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division |
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exponents |
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pairs |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
What is the area of a circle with a radius of 5?
| 36π | |
| 25π | |
| 8π | |
| 6π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
Solve -7a - a = -a + 5z - 3 for a in terms of z.
| -5z - 4\(\frac{1}{2}\) | |
| -\(\frac{1}{9}\)z + \(\frac{5}{9}\) | |
| \(\frac{4}{7}\)z + 1 | |
| -z + \(\frac{1}{2}\) |
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.
-7a - z = -a + 5z - 3
-7a = -a + 5z - 3 + z
-7a + a = 5z - 3 + z
-6a = 6z - 3
a = \( \frac{6z - 3}{-6} \)
a = \( \frac{6z}{-6} \) + \( \frac{-3}{-6} \)
a = -z + \(\frac{1}{2}\)
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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factoring |
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deconstructing |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.