The Facts On File Algebra Handbook

(Marvins-Underground-K-12) #1

first-degree inequalityAny statement of INEQUALITYwith only one
VARIABLEthat is not multiplied by itself, is not part of a
DENOMINATOR, and is involved with addition, subtraction,
MULTIPLICATION, and/or division.


F.O.I.L. A method used for multiplying two POLYNOMIALs. F.O.I.L. stands
for the order in which the MULTIPLICATIONis done: First, Outside,
Inside, Last.
See alsoSECTION IV CHARTS AND TABLES.


fraction Any EXPRESSIONthat is written as two quantities in which one is
divided by the other. For example, – 21 ,– 43 ,– 85 ,— 167 ,^14 ––x+y.


fractional equationAny EQUATIONin which a DENOMINATORcontains a
VARIABLE.


fractional exponentsAn EXPONENTthat is in FRACTIONform, the
NUMERATORof which denotes the POWER, and the DENOMINATORof
which denotes the root. The fractional exponent EQUATIONis written
as xn/b= (b√

x)n=b√

xn.
See alsoSECTION IV CHARTS AND TABLES.


functionASETof ORDERED PAIRSin which all of the x-coordinate numbers are
different. For example, this set of ordered pairs is not a function
because all of the x-coordinates are not different: (3, 5), (5, 2), (5, 6),
(8, 3). This set of ordered pairs isa function because all x-
coordinates are different: (2, 7), (4, 3), (7, 4), (9, 6).


Fundamental Theorem of AlgebraAnyPOLYNOMIALthat has complex
COEFFICIENTs has a minimum of one complex number SOLUTION.


graph 1. The SETof points on a CARTESIAN COORDINATE SYSTEMthat
indicates the SOLUTIONto an EQUATION.



  1. A chart that visually compares quantities.


greatest common divisorSeeGREATEST COMMON FACTOR.


greatest common factor (greatest common divisor, greatest common
measure)The largest number that can be divided into two other
numbers without leaving a REMAINDER. For example, COMMON
FACTORs of the numbers 4 and 8 are: 1, 2, and 4. The largest number
is the greatest common factor, in this case 4.


greatest common measureSeeGREATEST COMMON FACTOR.


heptagonAPOLYGONwith seven sides and seven interior ANGLEs.
See alsoSECTION IV CHARTS AND TABLES.


hexagonA six-sided POLYGON.
See alsoSECTION IV CHARTS AND TABLES.


first-degree inequality – hexagon GLOSSARY


first-degree inequality – hexagon GLOSSARY


Hexagon
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