The Facts On File Algebra Handbook

CHARTS & TABLES Properties and Theorems

CHARTS & TABLES Properties and Theorems

Properties and Theorems

1/nexponent theorem

If x≥ 0

x1/nis the nthroot of x

Addition of Fractions

If c≠ 0

a–

c+

• b
  c=
  ——a +b—
  c
  Addition of Like Terms
  ac+bc= (a+b)c
  Additive Identity Property
  0 +a=a
  and
  a+ 0 =a
  Additive Inverse Property
  a+ –a= –a+a= 0
  Additive Property of Equality
  If a=b
  then a+c=b+c
  and c+a=c+b
  If a=b,and c=d
  then a+c=b+d
  and c+a=d+b
  Additive Property of Inequality
  If a<b
  then a+c<b+c
  and a–c<b–c
  If a>b
  then a+c>b+c
  and a–c>b–c
  Associative Property of Addition
  (a+b) +c=a+ (b+c)
  Associative Property of Multiplication
  (a×b)×c=a×(b×c)
  (continues)