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# Unit 4 Equations

### One-Step equations and inequalities

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

Addition Property of Equality | Adding the same number to each side of an equation produces an equivalent expression. |

Constant of proportionality | The constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is constant of proportionality |

Dependent variable | A variable that depends on other factors. |

Direct Proportion (Direct Variation) | The relation between two quantities whose ratio remains constant. When one variable increases the other increases proportionally: |

Division Property of Equality | States that when both sides of an equation are divided by the same number, the remaining expressions are still equal |

Equation | A mathematical sentence that contains an equal sign |

Independent variable | A variable that stands alone and isn't changed by the other variables you are trying to measure. For example, someone's age might be an independent variable. |

Inequality | A mathematical sentence that contains the symbols < or > |

Inverse Operation | A mathematical process that combines two or more numbers such that its product or sum equals the identity. |

Multiplication Property of Equality | States that when both sides of an equation are multiplied by the same number, the remaining expressions are still equal. |

Proportion: | An equation which states that two ratios are equal. |

Solution | the set of all values which, when substituted for unknowns, make an equation true. |

Substitution | the process of replacing a variable in an expression with its actual value. |

Subtraction Property of Equality | States that when both sides of an equation have the same number subtracted from them, the remaining expressions are still equal. |

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

Variable: | A letter or symbol used to represent a number or quantities that vary |