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Discover key terms and concepts in introductory algebra, from linear equations to angles and ratios. Learn about solution sets, equivalent equations, and more. Ideal for students and educators alike.
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Introductory AlgebraGlossary Chapter Two
linear equation in one variable • A linear equation in one variable can be written in the form ax = b, where a and b are real numbers, with a 0.
solution set • The set of all solutions of a particular equation.
equivalent equations • Equations that have the same solution set.
empty set (null set) • The set containing no elements, denoted by { } or Ø.
degree • A degree is a basic unit of measure for angles in which one degree (1°) is 1/360 of a complete revolution.
complementary angles (complements) • Complementary angles are angles whose measures have a sum of 90°.
supplementary angles (supplements) • Supplementary angles are angles whose measures have a sum of 180°.
consecutive integers • Two integers that differ by one.
perimeter • The measure of the distance around the outside edges of a two-dimensional figure, the sum of the lengths of its sides.
circumference • The distance around a circle.
area • A measure of the surface covered by a two-dimensional figure.
vertical angles • The angles that lie opposite each other when two lines intersect.
straight angle • A straight angle measures 180°.
ratio • A comparison of two quantities with the same units: • 3 to 4, 3:4 and 3/4 are all equivalent expressions of the same ratio.
proportion • A statement that two ratios are equal: • 1:2 = 2:4
cross products • In the proportion a/b = c/d, the cross products are ad and bc.
vary directly as (is proportional to) • y varies directly as x if there exists a nonzero number k such that y = kx.
interval notation • A simplified notation which uses parentheses, ( ), and/or brackets, [ ], to describe an intervalon a number line.
three-part inequality • An inequality that says that one number is between two other numbers.
Return toIntroductory Algebra • Created by • James Q. Jacobs • Superstition Mountain Campus • Central Arizona College