| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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vertical, supplementary |
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acute, obtuse |
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supplementary, vertical |
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?
division |
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addition |
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pairs |
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exponents |
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.)
If side a = 9, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{53} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 12
c2 = 81 + 1
c2 = 82
c = \( \sqrt{82} \)
What is 8a + 3a?
| a2 | |
| 24a | |
| 5 | |
| 11a |
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.
8a + 3a = 11a
Simplify (y - 1)(y - 3)
| y2 + 4y + 3 | |
| y2 - 4y + 3 | |
| y2 - 2y - 3 | |
| y2 + 2y - 3 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 1)(y - 3)
(y x y) + (y x -3) + (-1 x y) + (-1 x -3)
y2 - 3y - y + 3
y2 - 4y + 3