This document discusses constants, variables, and algebraic expressions. It defines a constant as a value that does not change, like days of the week. A variable represents an unknown value. Algebraic expressions combine variables, constants, and mathematical operations. They contain terms, which can be a single number, variable, or the combination of a numerical coefficient and variable. Expressions are used in algebra to represent mathematical concepts and solve problems symbolically.

1. CONSTANTS , VARIABLES AND ALGEBRAIC
EXPRESSIONS

2. 5-MINUTE HABIT
5 ½ + 8 ¾

3. 5-MINUTE HABIT
6
𝟑
𝟓
+
𝟗
𝟏𝟑

4. 5-MINUTE HABIT
𝟓
𝟕
+ 5
𝟒
𝟏𝟑

5. CHANGING OR UNCHANGING/CONSTANT
Computer models
Phillippine Flag
God’s Love
Days of the Week
You weight
Price of Gasoline

6. ALGEBRA
Algebra is written in symbolic
language that is designed to
express mathematical thoughts,
including the process of solving
problems.

7. MATHEMATICAL LANGUAGE SKILLS
Ability to read with comprehension
Express mathematical thoughts clearly
Reason logically
Recognize and employ common patterns
of mathematical thought

8. THE LANGUAGE OF ALGEBRA
The language of algebra is a composition of
the following elements
Numerals
Symbols or signs
Letters or variables

9. NUMERALS
1,2,3,4,5,6,7,8,9,10,11,
12,13,14, 15,….

10. SYMBOLS OR SIGNS
Operational
Symbols
Symbols of
Relationship
Grouping
Symbols
+. -, x, •,(
), /,÷,
=, >, <,
≠, ≤,≥
( )
{ }
[ ]

11. LETTERS OR VARIABLES
A variable is a symbol which represents any
number from a given replacement set.
The most commonly used variables are:
x , y, z, a , b , c

12. ALGEBRAIC EXPRESSIONS
An algebraic expressions is a variable,
a constant or a combination of variables
and constants related by at least one
operation.

13. ALGEBRAIC EXPRESSIONS
It is one or more algebraic terms
connected by a plus or minus sign.

14. ALGEBRAIC TERM
5
A single number
Constant term - this is a number or a symbol
whose value is fixed.

15. ALGEBRAIC TERM
a
A single variable

16. ALGEBRAIC TERM
3x
3 is the numerical factor
X is the literal coefficient

17. ALGEBRAIC TERM
𝒎
𝒏
The quotient of m and n.

18. ALGEBRAIC TERM
𝒊𝟐
The square of a number i.

19. ALGEBRAIC TERM
xy
4xy
-12xy
Similar terms
Algebraic terms with
the same literal
coefficient