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