Properties of Algebra

Reflexive Property

AB = AB

Simplify

If 2x + 3x = 10 then 5x = 10

Simplify

If 3x - x = 15 then 2x = 15

Addition Property

If AB = CD then AB + EF = CD + EF

Multiplication Property

If EF = GH then 7(EF) = 7(GH)

Substitution property of equality

If If AB = 4 and AB + BC = 12 then 4 + BC = 12

division property of equality

If a=b and c does NOT equal 0, then a/c=b/c

substitution property of equality

If a=b, then a can be substituted for b in any equation or expression

Addition Property of equality

If a=b, then a+c=b+c

Subtraction property of equality

If a=b, then a-c=b-c

multiplication property of equality

If a=b, then ac=bc

Symmetric Property

If m<A = m<B then M<B = m<A

Addition/subtraction property

If y - 7 = 4 then y = 11

distributive property

a(b+c) = ab+ac, where a,b, and c are real numbers

reflexive property of equality

for any angle A, m<A=m<A

symmetric property of equality

for any segment AB and CD, if AB=CD, then CD=AB

transitive property of equality

for any segments AB, CD, and EF, if AB= CD, CD=EF, then AB= EF

Mult/div property of equality

if 3(AB) = 12 then AB = 4

Transitive Property

if m<A = m<B and m<B = m<C, then m<A = m<B