The Facts On File Algebra Handbook

(Marvins-Underground-K-12) #1
sum The total obtained by adding numbers together. For example, in
7 + 3 = 10, the total 10 is the sum; and in 3 + 5 + 9 = 17, the total
17 is the sum.
summation notationSeeSIGMA NOTATION(Σ).

sum of two cubes Aformula used to FACTORtwo CUBED BINOMIALs into
two POLYNOMIALs of the sum of the CUBEroots of the first TERM
times the sum of the cube roots of the second, written as
x^3 +y^3 = (x+y)(x^3 – xy+y^3 ).
supplementary anglesTwo ANGLEs that, when summed, equal 180°.

Symmetric PropertyIf two numbers have the same VALUE, they are
symmetrical, or equal. This is usually expressed as: If a=b,then b=a.
See alsoSECTION IV CHARTS AND TABLES.

tangent Any straight line that touches a curved line at only one point without
intersecting.

term Any number, VARIABLE, or group of numbers and variables that
form a MONOMIAL. For example, each of the following is a term:
2, 3x, 4 x^2 y^3. In FRACTIONs, the terms are the NUMERATORand
DENOMINATOR.
ternary Three.

tetragonSeeQUADRILATERAL;SECTION IV CHARTS AND TABLES.

tetrahedron A three-dimensional SOLID, aPOLYHEDRON, in which all four
faces are EQUILATERAL TRIANGLEs.
See alsoSECTION IV CHARTS AND TABLES.
theoremA statement that can be, or has been, proved.

third-degree equationAn EQUATIONthat contains a CUBEDterm, and has
no term POWERed higher than a cubed term. For example, x^3 = 8, x^3


  • x= 24, and 3x+ 2x^3 – 2 =3, are all third-degree equations. An
    equation containing an x^2 is a SECOND-DEGREE EQUATION; an x^4 is a
    fourth-degree equation, and so on.


Transitive Property of EqualityAny numbers or quantities that are equal in
value to the same quantity are also equal to each other. In EQUATION
form, it looks like this: if a=b,and b=c,then a=c.
See alsoSECTION IV CHARTS AND TABLES.

GLOSSARY sum – Transitive Property of Equality


GLOSSARY sum – Transitive Property of Equality


t

Tangent

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