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Introductory Algebra Glossary

This chapter provides a glossary of key concepts related to introductory algebra, specifically focusing on ordered pairs, tables of values, coordinate systems, graphs of equations, functions, and lines.

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Introductory Algebra Glossary

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  1. Introductory AlgebraGlossary Chapter Three

  2. ordered pair • A pair of numbers written within parentheses in which the order of the numbers is important.

  3. table of values • An organized way of displaying ordered pairs.

  4. x-axis • The horizontal number line in a rectangular coordinate system.

  5. y-axis • The vertical number line in a rectangular coordinate system.

  6. rectangular coordinate system • The x-axis and y-axis placed at a right angle at their zero points, also called the Cartesian coordinate system.

  7. quadrant • One of the four regions in the plane determined by a rectangular coordinate system.

  8. origin • The point at which the x-axis and y-axis of a rectangular coordinate system intersect.

  9. coordinate on a number line • Each number on a number line is called the coordinate of the point that it labels.

  10. plot • To locate an ordered pair on a rectangular coordinate system.

  11. graph of an equation • The set of all points that correspond to all of the ordered pairs that satisfy an equation. The graph of a linear equation in two variables is a straight line.

  12. x-intercept • The point where a graph intersects the x-axis.

  13. y-intercept • The point where a graph intersects the y-axis.

  14. function • A set of ordered pairs (relation) in which each value of the first component x corresponds to exactly one value of the second component y

  15. subscript notation • A way of indicating two nonspecific ordered pairs, such as (x1, y1) and (x2, y2), that satisfy a particular equation relating x and y.

  16. slope • The ratio of the change in y to the change in x along a line.

  17. rise • The vertical change between two points on a line, the change in y-values.

  18. run • The horizontal change between two points on a line, the change in x-values.

  19. parallel lines • Two lines in the same plane that never intersect.

  20. perpendicular lines • Two lines that intersect to form a right angle.

  21. Return toIntroductory Algebra • Created by • James Q. Jacobs • Superstition Mountain Campus • Central Arizona College

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