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# 2Algebraic Reasoning

### Algebraic Reasoning

Term | Definition |
---|---|

algebraic expression | a mathematical phrase that has at least one variable, and it can contain numbers and operation symbols. |

constraint | a condition that a solution or problem must satisfy. It can be a restriction set in advance of solving a problem or a limit placed on a solution or graph so the answer makes sense in terms of a real-world scenario. |

equation | a mathematical sentence that uses an equals sign to show that two quantities are the same as one another. |

inequality | any mathematical sentence that has an inequality symbol. |

inverse operations | pairs of operations that reverse the effects of each other. |

isolate the variable | in an equation, perform an operation, or operations, to get the variable by itself on one side of the equals sign. |

linear expression | any expression in which each term is either a constant or the product of a constant and a single variable raised to the first power. |

literal equation | an equation in which the variables represent specific measures. Examples A=LW d=rt |

to solve an inequality | to determine the values of the variable that make the inequality true. |

two-step equation | requires that two inverse operations be performed in order to isolate the variable. |

bar model | use rectangular bars to represent known and unknown quantities. |

coefficient | A number that is multiplied by a variable in an algebraic expression. |

dependent quantity | the quantity that depends on another in a problem situation. |

double number line | a model that is made up of two number lines used together to represent the ratio between two quantities. |

equivalent expressions | Two algebraic expressions, when any values are substituted for variables, the results are equal. |

graph of an inequality | is the set of all points on a number line that make the inequality true. |

independent quantity | the quantity the dependent quantity depends on. |

like terms | two or more terms that have the same variable raised to the same power. |

reciprocal | also known as the multiplicative inverse of the number. (See multiplicative inverse.) |

solution set | The set of all points that make an inequality true. |

term | a number, variable, or product of numbers and variables. |

variable | a letter or symbol that is used to represent a number. |

Created by:
hms112