algebraic expressions with the same value for all of their variables
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terms
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parts added together in an expression that can be written as a sum
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coefficient
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number in a variable expression
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variable
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letter used to represent one or more numbers in an algebraic expression
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solve for a variable
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rewrite an equations an equivalent equation in which the variable ends up on one side and does not appear on the other side
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power
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expression used to abbreviate repeated multiplication of the same factor (power can be defined both as the whole figure or the exponent)
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linear equation
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equation that can be written ax + b = 0 ; a and b being constants and a is non-zero.
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Subtraction Property of Equality
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used to make equivalent equations; subtract the same number from both sides of the equals sign
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Addition Property of Equality
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used to make equivalent equations; add the same number to both sides of the equals sign
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compound inequality
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two simple inequalities joined by "and" or "or"
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linear inequality
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when in one variable could be written as any of the following where a and b are real numbers and a is non-zero number
ax + b < 0
ax + b > 0
ax + b </= 0
ax + b >/= 0
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like terms
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terms in an equation that have the same variable parts and can therefore be simplified
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reciprocal
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multiplicative inverse
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equivalent equations
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two equations with the same solution
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exponent
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the number of times the base is multiplied by itself
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base
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factor to be multiplied by itself in a power
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equation
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a statement of equality for two expressions
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Multiplication Property of Equality
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used to make equivalent equations; multiply both sides by the same non-zero number
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absolute value
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the distance a number is from 0 on a number line, represented by two enclosing lines
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Division Property of Equality
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used to make equivalent equations; divide both sides by the same non-zero number
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extraneous solution
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an apparent solution that must be rejected because it does not satisfy the original equation (a.k.a. it's wrong XD)
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identity
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a statement that equates two equivalent expressions