1. Number Systems Complex Numbers Real Numbers Irrational Numbers
Integers
Number Systems
Whole Numbers
Natural Numbers

2. Algebra
Latin variant of the Arabic word “al-jabr"
Science of restoration (reunion) and
opposition
Science of transposition and cancellation
Science of equations
Generalization of Arithmetic
Algebra is “written geometry” and Geometry is “pictured algebra”.

6. Equations are mathematical sentences which involve equality.
Properties of Equality:
1. Addition Property
2. Subtraction Property
3. Multiplication Property
4. Division Property
5. Substitution Property

7. An algebraic equation is a mathematical statement that relates two algebraic expressions involving at least one variable.
A linear equation in one variable is an equation in which every time the variable appears, it is raised to the first power and the variable does not appear in the denominator.

8. Solving the equation is the process
of finding values of the variable
which result in a true statement.
Replacement set or domain
the set of numbers that are permitted to
replace the variable.
Solution set
the set of elements in the domain of the
variable that makes the equation true.
Solution or root
- each element of the solution set.

9. Types of Equations:
Identity – true for all elements from
the domain of the variable.
Conditional – true for certain domain
values and false for others.
Contradiction – false for all elements
from the domain of the variable.
4. Equivalent – both equations have the
same solution set for a given
replacement set.

10. Proverbs 1:3
“For acquiring a disciplined and prudent life, do what is right and just and fair.”
A satisfying Christian life always requires a balance. Otherwise, life will become miserable.