MATH

1. The Language of
Algebra
Prepared by: Jenny Tuazon

3. Algebra
-It is the branch of mathematics
that involves expressions with
variables

4. Algebraic Expressions or
EXPRESSIONS
-It is the result of combining
numbers with variables
Example: 4n is an algebraic
expression where n is called
a variable

5. Algebraic Expressions or
EXPRESSIONS
Letters, symbols and
operation symbols are used
to create words and phrases

6. The Language of Algebra is composed
of the following:
A. Numerals
0,1,2,3,4,5,…
B. Letters or variables to represent unknown
numbers.
Variables – symbol which represents any
number from a given replacement set.
Replacement Set – set of values of the
variable.

7. The Language of Algebra is composed
of the following:
Constant – a symbol which has exactly one
number in its replacement set. Any numeral is a
constant such as 7, 4, 11, …
*The letters, numbers, and mathematical
symbols can be used to translate long word
statements into short mathematical sentences or
expressions

8. The Language of Algebra is composed
of the following:
C. Operational Symbols
There are many ways in expressing
addition, subtraction, multiplication, or
division of algebraic expressions.

9. The Language of Algebra is composed
of the following:
Example of Operational Symbols
Verbal Phrase Algebraic Translation
The sum of m and 8 m+8
10 added to c c+10
7 plus a 7 +a
10 subtracted from c c – 10
the difference of 8 and m 8 – m
9 take away d 9 – d

10. Example of Operational Symbols
0
Verbal Phrase Algebraic Translation
the product of 8 and m 8m
10 times c 10c
twice x 2x
the quotient of 8 and m 8
𝑚
x divided into 10 𝑥
10
ratio of 7 to a 7
𝑎

11. Terminologies
Algebraic Term – either a single number, letter,
or a product of several numbers or letters
Algebraic Expression – a statement containing
one or more terms connected by plus or minus
sign
Numerical Coefficient – the number in an
algebraic term
Literal Coefficient – a letter used to represent a
number

12. Terminologies
Similar terms – algebraic terms that have the
same literal factors and in which each letter has
the same exponent in all of the terms.
Constant – a number, letter, or symbol whose
value is fixed.

13. Identify the numerical coefficients, variables,
and constants in each expression
1.5n+4
2.-7x +12
3. 𝜋𝑟 2

14. Evaluating Algebraic Expressions
Replacing the variable by the
given number value.
(Substitution)

15. Evaluate the following expression
1.5n+4 ; if n =5
2.-7x +12 ; if x=2
3. 𝜋𝑟 2 ; if 𝜋=3.14

16. PAIR ACTIVITY
PAGE 91
VOCABULARY
PRACTICE AND APPLICATION