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# Linear Algebra Ch. 3

### Graphs and Equations

Question | Answer |
---|---|

combining like terms | Simplifies an expression by summing constants and summing those variable terms in which the same variables are raised to the same power. |

continuous graph | For this course, when the points on a graph are connected and it makes sense to connect them, then the graph is continuous. Such a graph will have no holes or breaks in it. |

dependent variable | When one quantity depends for its value on one or more others. |

discrete graph | A graph that consists entirely of separated points. |

Distributive Property | For any a, b, and c, a(b + c) = ab + ac. For example, 10(7 + 2) = 10 ⋅ 7 + 10 ⋅ 2. |

evaluate | To find the numerical value of. Substitute the value(s) given for the variable(s) and perform the operations according to the order of operations. |

independent variable | When one quantity changes in a way that does not depend on the value of another quantity. |

Order of Operations | The specific order in which certain operations are to be carried out to evaluate or simplify expressions: parentheses/grouping symbols), exponents (powers or roots), multiplication/division (from left to right), addition/subtraction (from left to right) |

parabola | A particular kind of mathematical curve. In this course,it is always the graph of a quadratic function. |

solution | The number or numbers that when substituted into an equation or inequality make the equation or inequality true. |

term | A single number, variable, or the product of numbers and variables. In an expression, terms are separated by addition or subtraction signs. |

vertex | For a two-dimensional geometric shape, a vertex is a point where two or more line segments or rays meet to form a "corner". For a three-dimensional polyhedron, a vertex is a point where the edges of the solid meet. |

x-intercept | The point(s) where a graph intersects the x-axis. A graph may have several, none, or just one. |

y-intercept | The point(s) where a graph intersects the y-axis. A function has at most one ; a relation may have several. This intercept of a graph is important because it often represents the starting value of a quantity in a real-world situation. |

variable | A symbol used to represent one or more numbers. |