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Chapter 3 Vocabulary
Mrs. Harper's Algebra 1A Class
18
Mathematics
9th Grade
10/03/2007

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Term
Equivalent
Definition
Equations with the same solutions as the orginal equation.
Term
Inverse Operations
Definition
Operations that undo each pther, such as addition and subtraction.
Term
Solution Step
Definition
The result of applying a transformation to an equation when solving the equation.
Term
Linear Equation
Definition
In a Linear Equation the variable is raised to the first power and does not occur in a denominator, inside a square root, or inside absolute value symbols.
Term
Properties of Equality
Definition
The rules of algebra used to transform equations into equivalent equations.
Term
Ratio of A per B
Definition
The relationship a/b of two quantities a and b that are measured in the same unit.
Term
Similar Triangles
Definition
Two triangles are similar if they equal corresponding angles. It can be shown that this is equivalent to the ratios of the lengths of the corresponding sides being equal.
Term
Identity
Definition
An equation that is true for all values of the variables.
Term
Round-Off Error
Definition
The error produced when a decimal result is rounded in order to provide a meaningful answer.
Term
Formula
Definition
An algebraic equation that relates two or more real-life quantities.
Term
Rate of A per B
Definition
The relationship of a/b of two quantities a and b that are measured in different units.
Term
Unit Rate
Definition
A rate per one given unit.
Term
Generalization
Definition
A conclusion based on several observations.
Term
Inductive Reasoning
Definition
A form of reasoning in which a conlcusion is reached based on several observations.
Term
Deductive Reasoning
Definition
Reasoning where a conclusion is reached based on facts, definitions, rules, or properties.
Term
If-Then Statements
Definition
A statement of the form "if p,then q," where p i the hypothesis and q is the conclusion.
Term
Hypothesis
Definition
The "if" part of an if-then statemtn. In the statement. In the statement "if p,then q," q is the conclusion.
Term
Conclusion
Definition
The "then" part of an if-then statement. In the statement "if p, then q" q is the conclusion.
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