Introductory Algebra

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Transcript Introductory Algebra

Introductory Algebra
Glossary
Unit 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
interval
on a number line.
three-part inequality
An inequality that says that one
number is between two other
numbers.
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Introductory Algebra
Created by
James Q. Jacobs