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# Mathematics Part 2

### Math

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

How can a linear relationship be represented? | It can be represented by the equation y= mx + b. |

What are y and x in the equation? | They are variables. |

What are m and b in the equation? | In the equation they are constants |

What happens or is produced when x and y values from a linear relationship are plotted on a graph? | When and y values from a linear relationship are plotted on a graph, a straight line is produced. |

What does the term linear refer to? | The term "linear" refers to anything having to do with a straight line. |

Where do linear relationships get their names? | they get their name from the fact that they are plotted on a graph, they appear on a straight line. |

What goes through the origin when a proportional linear relationship is plotted on a graph? | When a proportional linear relationship are plotted on a graph, the line goes through the origin, (0,0) |

when b is not equal to 0 is the relationship between y and x proportional? | No it is non-proportional |

In a non-proportional linear relationship, is the equation linear? | In a non-proportional liner relationship, the equation is linear. |

Are x and y proportional? | No they are not proportional |

What is an example? | When x is doubled y is also doubled |

What does the word "percent" come from? | The Latin phrase "per centum" meaning by the "hundred" |

What is the numerator? | Numerator is the top number of a ratio. |

What is a denominator? | A the denominator is the bottom number. |

What happens if the denominator is 100 | If the denominator is 100, then the numerator is a percent. |

What are proportions used to solve? | A variety of problems in real-life situations. |

What is a rate? | A ratio in which the numerator and the denominator are different units. |

What is an example of a rate? | An example of a rate is speed, in which the numerator is the distance traveled, and the denominator is the time taken to travel that distance. |

What is the definition of percent? | percent means per 100. A value of n% is the same as the fraction n/100 |

When presenting numeric information what is more informative than a verbal description? | A diagram, graph or table |

Diagrams or graphs can illustrate what? | Relationships that are not obvious from a verbal description. |

In the problem that show tables, charts or graphs you may not need what? | You may not need all the information given. |

Algebraic equations, graphs and tables can be used to make what? | They can be used to make predictions and to solve problems. |

Examples include what? | Estimating the amount of time necessary to finish a project or reach a goal, and predicting information such as productivity, costs or the timing of a future event. |

What is determined when looking at data to predict future values? | When looking at data to predict future values, determine the rate of change. |

What happens then? | Then apply the rate of change to the amount of time you are looking ahead. |

What is a sequence? | A set of numbers that follow a pattern. |

What is an arithmetic sequence? | A sequence of numbers in which each term after the frist is the result of adding a fixed number called the common difference to the previous term. |

What is a dilation? | A dilation is a transformation that enlarges or reduces a figure to make a similar image |

What is an enlargement? | An enlargement makes a new image that is larger that the original figure. |

What is a reduction? | A reduction makes a new image that is smaller than the original figure. |

What is a scale factor? | The ratio of the dimensions of the new image to those of the original figure. |

What is done to find the coordinates of an image on a coordinate plane after a dilation? | Multiply the coordinates of the original figure by the scale factor. |

A enlargement is a dilation in which the scale factor is what? | greater than 1 |

A reduction is a dilation in which the scale factor is what? | less than 1. |

What is a transformation? | A change in position, size or shape of figure |

What is a translation? | transformation in which each part of the figure is moved to the same distance and direction |

What is a reflection? | A transformation that flips the figure over a line of reflection. |

When a figure is reflected, the vertices of the original figure and the new figure are what? | the same distance. |

Created by:
iluvaction