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Pre-Algebra Ch. 1
| Term | Definition |
|---|---|
| algebra | a branch of mathematics dealing with symbols |
| algebraic expression | an expression that contains sums and/or products of variables and numbers |
| conjecture | an educated guess |
| deductive reasoning | the process of using facts, properties, or rules to justify reasoning or reach valid conclusions |
| coordinate plane or coordinate system | formed by the intersection of two number lines that meet at right angles at their zero points |
| counterexample | an example that shows a conjecture is not true |
| defining a variable | choosing a variable an a quantity for the variable to represent in an equation |
| domain | the set of all x-coordinates from each pair of a relation |
| equation | a mathematical sentence that contains an equal sign |
| evaluate | find the numerical value of an expression |
| graph | a dot at the point that corresponds to an ordered pair on a coordinate plane |
| inductive reasoning | conjecture based on a pattern of examples or past events |
| numerical expression | a combination of numbers and operations such as addition, subtraction, multiplication and division |
| open sentence | an equation that contains a variable |
| order of operations | PEMDAS |
| ordered pair | a pair of numbers used to locate any point on a coordinate plane |
| origin | the point at which the number lines intersect in a coordinate system |
| properties | statements of equality of two or more ratios |
| range | all the y-coordinates from each ordered pairs in a relation |
| relation | a set of ordered pairs |
| scatter plot | a graph that shows the relationship between two sets of data |
| simplify | to write an expression in simpler form |
| solution | a value for the variable that makes an equation true |
| solving the equation | the process of finding a solution to an equation |
| variable | a placeholder for any value |
| x-axis | the horizontal number line which helps to form the coordinate system |
| x-coordinate | the first number of an ordered pair |
| y-axis | the vertical number line which helps to form the coordinate system |
| y-coordinate | the second number of an ordered pair |