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# Algebra 1.5 Blue C01

### GWirtz Intermediate Algebra Blue C1

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

variable (p10) | A quantity that changes. |

Robert Boyle (p4) | He studied the relationship between pressure and volume of a gas |

positive relationship/correlation (p13) | A relationship/correlation where the dependent variable increases as the independent variable increases |

linear relationship (p17) | a relationship between two variables where points in a scatter plot lie along a straight line |

discrete graph (p12) | A graph with the data points unconnected. |

coordinates (p12) | A pair of numbers that describes the location of a point in the coordinate plane. The first number is the x-coordinate, the second number is the y-coordinate. |

proportional relationship (p11) | a relationship where the ratio y/x is constant (or nearly so) and contains the data point (0,0) |

constant of proportionality (p11) | The constant ratio of y/x for (x,y)values of a direct variation function. |

Archimedes (p3) | Best known for the idea that describes the forces that interact between fluid and an object submerged in that fluid |

scatter plot (p9) | A graph of ordered pairs (x,y) representing a set of data |

units (p10) | These describe the kind of quantity the variable uses such as inches, centimeters, etc. |

continuous graph (p12) | A graph with the data points connected. |

domain (p11) | The set of values that the independent variable in a mathematical function can have. |

direct variation function (p13) | A function with an equation of the form y = kx. They are used to describe proportional relationships. |

rate of change (p11) | A ratio that compares the change in the output variable to the change in the input variable |

coordinate plane (p12) | A system for finding the location of points (x,y) in two dimensions, using axes with scales. |

range (p11) | The set of values that the dependent variable in a mathematical function can have |

axes (p12) | Number lines drawn at right angles used to locate points. |

Robert Hooke (p4) | He discovered the relationship between the length that a spring stretches and the amount of force required to make it stretch that length |

independent variable (p10) | The input variable - the one that is used to make predictions. |

dependent variable (p10) | The output variable - the one you want to predict. |

Boyle's Law (p54) | A law that states that the pressure of a gas inversely related to the volume of gas |

__ , delta (p25) | Used to show "the change in". |

Function | A set of ordered pairs of real numbers in which no two pairs with the same first coordinates have different second coordinates. |

Function rule (p26) | A symbolic equation that describes a relationship between two variables. |

Hooke's Law (p23) | A law that states that the force applied to a spring is directly proportional to the stretch of the spring. |

Inverse/Indirect variation (p50) | When one variable decreases as the other increases and the product of corresponding values of the variables is a constant. In other words, xy = k. |

Inversely proportional (p50) | Variables in an inverse variation relationship are said to be this. That is, as one variable increases the other decreases, and the product of corresponding values of the variables is constant. |

Mass (p6-7) | In science, it is the amount of matter in an object. It is common to use weight and this as the same. |

Negative relationship/correlation (p13) | A relationship/correlation when the dependent variable decreases as the independent variable increases. |

Point-slope formula (p31) | A method for finding the equation of a line: y - y1 = m(x - x1). |

Proportions (p34) | Two fractions that are equal to each other. |

Slope (p31) | A measure of the steepness of a line; the ratio of the vertical change to the horizontal change between two points on a line, or "rise over run." |

Slope-intercept form (p32) | A form represented by the equation y = mx + b. This general form of a linear function expresses the dependent variable, y, in terms of the independent variable, x, the slope of the line (m), and the y-intercept of the line whose coordinates are (0,b). |

Volume (p6-7) | Generally, refers to the size of an object. It is a measure of the amount of space that a three-dimensional object occupies. |

y-intercept (p32) | the point at which a graph crosses the y-axis. It is the term b in the slope-intercept form for the equation of a line. |

Displacement (p8) | The amount of water moved when an object is placed in the water. |

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shelley.wirtz