Algebra Properties of Equality

1
Algebra Properties of Equality

• Aero Math Standards 7.0
• Identify a rule for a pattern involving
  operations
• Identity and solve equations

• Homework
• Worksheet

2
Properties of Equality

• Addition
• Subtraction
• Multiply
• Division (except 0)

• 8 4 7 5
• 9 15 24
• 7 x 6 14 X 3
• 12 8 20

3
Warm up(Riddle from Braingle)

• Diophantus was a Greek mathematician who lived in
  the third century. He was one of the first
  mathematicians to use algebraic symbols.Most of
  what is known about Diophantus's life comes from
  an algebraic riddle from around the early sixth
  century. The riddle statesDiophantus's youth
  lasted one sixth of his life. He grew a beard
  after one twelfth more. After one seventh more of
  his life, he married. 5 years later, he and his
  wife had a son. The son lived exactly one half as
  long as his father, and Diophantus died four
  years after his son. How many years did
  Diophantus live ?

4
Inverse Operation

• Addition undoes subtraction,
• Division undoes multiplication

5
Solving Equation

• X 24 42
• 1.5 c 48
• 3/7 y 1 1/7

6
Combining Like terms

• Algebraic expression contains terms. Example 4y
  2z 7y contains the terms 4y, 2z and 7y.
• Terms with same variable can be combined.

7
Simplify

• 5y 13y
• 4 7y 20
• n ? ? 2n

8
Solve
9
ClosureYesterdays HW

• Concave/ Convex