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# Linear Algebra Ch. 1

### Problem Solving

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

5-D Process | An organized method to solve problems. This is a problem-solving strategy for which solving begins by guess and check. |

area | The number of square units needed to fill up a region on a flat surface. In later courses, the idea will be extended to cones, spheres, and more complex surfaces. |

box plot | A graphic way of showing a summary of data using the median, quartiles, and extremes of the data. |

coordinates | The number corresponding to a point on the number line or an ordered pair (x, y) that corresponds to a point in a two-dimensional coordinate system. In an ordered pair, the x‑coordinate appears first and the y-coordinate appears second. |

dependent variable | When one quantity depends for its value on one or more others, . Appears as the output value in an x → y table, and is usually placed relative to the vertical axis of a graph. We often use the letter y and the vertical y-axis. |

histogram | A way of displaying data in that the height of the bars is proportional to the number of elements. Each bar of this graph represents the number of data elements in a range of values.Each range of values should have the same width. |

independent variable | When one quantity changes in a way that does not depend on the value of another quantity.This variable appears as the input value in an x → y table, and is usually placed relative to the horizontal axis of a graph. We often use the letter x. |

integers | The set of numbers {…, –3, –2, –1, 0, 1, 2, 3, …} |

input value | The independent variable in a relation. Substitute this value into our rule to determine the output value. This value appears first in an x → y table, and is represented by the variable x. |

mean | One way of defining the “middle” of the numbers. To find the average of a group of numbers, add the numbers together then divide by the number of numbers in the set. For example, the average of the numbers 1, 5, and 6 is (1 + 5 + 6) ÷ 3 = 4. |

median | The middle number of an ordered set of data. If there is no distinct middle, then the average of the two middle numbers is the median. Generally more accurate than the mean as a measure of central tendency when there are outliers in the data set. |

ordered pair | Two numbers written in order as follows: (x, y). The first coordinate (x) represents the horizontal distance and direction from the origin; the second coordinate (y) represents the vertical distance and direction from the origin. |

origin | The point on a coordinate plane where the x-axis and y-axis intersect. This point has coordinates ￼(0, 0). |

output value | The dependent variable in a relation. When you substitute the input value into our rule, the result is this value. This value appears second in an x → y table, and is represented by the variable y. |

perimeter | The distance around a figure on a flat surface. |

proportion | An equation stating that two ratios (fractions) are equal. |

proportional relationship | Two values are in this type of relationship if a proportion may be set up that relates the values. |

quadrants | The coordinate plane is divided by its axes into four of these. When graphing data that has no negative values, we sometimes use a graph showing only the first of these. |

stem-and-leaf plot | A frequency distribution that arranges data so that all digits except the last digit in each piece of data are in the stem, the last digit of each piece of data are the leaves, and both stems and leaves are arranged in order from least to greatest. |

unit rate | A rate with a denominator of one when simplified. |

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

x-axis | The horizontal number line on a coordinate graph. |

y-axis | The vertical number line on a coordinate graph. |

Created by:
EMarshall8