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15 Cards in this Set
- Front
- Back
Solution |
A value that makes the equation true.
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Inverse Operations |
Two operations that undo each other
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Equivalent Equations |
Equations that have the same solution(s). |
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Addition Property of Equality |
Adding the same number to each side of an equation produces an equivalent equation. |
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Subtraction Property of Equality |
Subtracting the same number from each side of an equation produces an equivalent equation. |
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Multiplication Property of Equality |
Multiplying each side of an equation by the same nonzero number produces and equivalent equation. |
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Division Property of Equality |
Dividing each side of an equation by the same nonzero number produces an equivalent equation. |
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Identity |
An equation that is true for all values of the variable. It has infinitely many solutions. |
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Properties of Absolute Values (there's 4) |
When a and b are real numbers: 1. |a| is greater than or equal to 0. 2. |-a|=|a| 3. |ab|=|a||b| 4. |a/b| = |a|/|b|, when b isn't equal to 0. |
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To solve |ax+b|=c when c is greater than or equal to 0, solve the related linear equations: |
ax + b = c or ax + b = -c |
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To solve |ax+b|=|cx+d|, solve the related linear equations: |
ax + b = cx + d or ax + b = (-cx + d) |
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Extraneous Solution |
An apparent solution that must be rejected because it does not satisfy the original equation. |
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Literal Equation |
An equation with two or more variables. |
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Formula |
A type of literal equation that shows how one variable is related to one or more other variables. |
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Distance Formula |
distance = rate X time |