This document provides an introduction to algebraic expressions and equations. It defines algebraic expressions as mathematical phrases combining numbers and/or variables using operations, without an equal sign. Algebraic equations are defined as mathematical sentences showing the equality of two expressions, containing an equal sign. Examples of each are provided. The document then presents an activity asking students to identify given representations as algebraic expressions or equations. Answers to the activity are also included. Finally, the document discusses translating between English sentences and mathematical sentences involving variables, providing examples of this translation.

1. WELCOME TO
MATHEMATICS
ISMAEL D. ULEP Pre-Service Teacher

2. PRAYER

3. RULES IN CLASS

4. ALGEBRAIC EXPRESSION
AND
ALGEBRAIC EQUATION

5. ALGEBRAIC EXPRESSION
 is a mathematical phrase that
combines numbers and/or
variables using mathematical
operations. There is no equal
sign

6. ALGEBRAIC EXPRESSION
Example:
𝒙 + 𝟓
𝟐𝒙𝟐
+ 𝟑𝒙 + 𝟐
𝟑𝒙 + 𝟐

7. ALGEBRAIC EQUATION
is a mathematical sentence
that combines numbers and/or
variables that shows the
equality of two expressions.
There must be an equal sign.

8. ALGEBRAIC EQUATION
Example:
𝐱 + 𝟓=4
𝟐𝐱𝟐
+ 𝟑𝐱 + 𝟐=5
𝟑𝐱 + 𝟐=10

9. ACTIVITY: “EX OR EQ”
On your notebook, answer the following
questions. Write EX if the given is
algebraic expression and EQ if it is
algebraic equation.

10. ACTIVITY: “EX OR EQ”
1.) 𝐱𝟐
+ 𝟓𝐱 + 𝟐
2. ) 𝐱𝟐
+ 𝟑𝐱 + 𝟐=13

11. ACTIVITY: “EX OR EQ”
𝟑. ) 𝟓𝐱 + 𝟐
𝟒. ) 𝟑𝐱 − 𝟏𝟐

12. ACTIVITY: “EX OR EQ”
5.) 𝐱𝟐
+ 𝐱 + 𝟏 = 𝟐𝟑𝟒
𝟔. ) 𝐱 + 𝟐=3

13. ACTIVITY: “EX OR EQ”
7.) 𝐱𝟑
+ 𝐱𝟐
+ 𝟓𝐱 + 𝟐
𝟖. ) 𝐱𝟐
=13

14. ACTIVITY: “EX OR EQ”
9.) 𝟓𝐱 + 𝟐=12
𝟏𝟎. ) 𝐱𝟐

15. ACTIVITY: “EX OR EQ”
ANSWERS:
1. EX
2. EQ
3. EX
4. EX
5. EQ
6. EQ
7. EX
8. EQ
9. EQ
10. EX

17. Translating English
Sentences to
Mathematical Sentences
and vice versa

18. FOUR PLUS A
NUMBER
4+x OR 4+n

19. + - × ÷ =
plus
more than
increased
minus
less than
decreased
times
multiplied
of
divided by
over
is equal to
is

20. Example 1:
English Sentence:
Four increased by a number is nine.
Mathematical Sentence:
( 4 + n = 9)

21. Example 2:
English Sentence:
Ten is five less than a number.
Mathematical Sentence:
(10 = x – 5)

22. Example 3:
English Sentence:
five less than a number
Mathematical Sentence:
(x – 5)

23. Example 4:
English Sentence:
four increased by a number
Mathematical Sentence:
(x+4)

24. Example 5:
English Sentence:
difference of a number and 9 is equal
to 3.
Mathematical Sentence:
(x-9)=3

25. Translating English
Sentences to
Mathematical Sentences
and vice versa

26. Thank you