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15 Cards in this Set

  • Front
  • Back

Solution

A value that makes the equation true.

Inverse Operations

Two operations that undo each other

Equivalent Equations

Equations that have the same solution(s).

Addition Property of Equality

Adding the same number to each side of an equation produces an equivalent equation.

Subtraction Property of Equality

Subtracting the same number from each side of an equation produces an equivalent equation.

Multiplication Property of Equality

Multiplying each side of an equation by the same nonzero number produces and equivalent equation.

Division Property of Equality

Dividing each side of an equation by the same nonzero number produces an equivalent equation.

Identity

An equation that is true for all values of the variable. It has infinitely many solutions.

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.

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

To solve |ax+b|=|cx+d|, solve the related linear equations:

ax + b = cx + d or ax + b = (-cx + d)

Extraneous Solution

An apparent solution that must be rejected because it does not satisfy the original equation.

Literal Equation

An equation with two or more variables.

Formula

A type of literal equation that shows how one variable is related to one or more other variables.

Distance Formula

distance = rate X time