| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
A(n) __________ is two expressions separated by an equal sign.
equation |
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expression |
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problem |
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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.
The dimensions of this cylinder are height (h) = 5 and radius (r) = 1. What is the volume?
| 512π | |
| 16π | |
| 81π | |
| 5π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 5)
v = 5π
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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addition |
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pairs |
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division |
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.)
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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obtuse, acute |
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acute, obtuse |
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vertical, supplementary |
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).
Find the value of c:
6c + y = -8
-2c - 9y = 1
| \(\frac{2}{15}\) | |
| -1\(\frac{2}{3}\) | |
| -1\(\frac{19}{52}\) | |
| -1\(\frac{5}{14}\) |
You need to find the value of c so solve the first equation in terms of y:
6c + y = -8
y = -8 - 6c
then substitute the result (-8 - 6c) into the second equation:
-2c - 9(-8 - 6c) = 1
-2c + (-9 x -8) + (-9 x -6c) = 1
-2c + 72 + 54c = 1
-2c + 54c = 1 - 72
52c = -71
c = \( \frac{-71}{52} \)
c = -1\(\frac{19}{52}\)