The document focuses on rational algebraic expressions, outlining learning competencies such as illustrating and simplifying them. It includes activities for identifying rational vs. non-rational expressions and verifying statements about them. Additionally, it provides steps for simplifying rational expressions, including factoring and dividing out common factors.

1. RATIONAL ALGEBRAIC
EXPRESSIONS

2. LEARNING COMPETENCIES
1. Illustrates rational algebraic
expressions (M8AL-Ic-1);
2. Simplifies rational algebraic
expressions (M8AL-Ic-2);

3. ACTIVITY 1: WHERE DO I
BELONG
From the given expressions, write
in column A, the rational
algebraic expressions and in
column B, the non-rational
algebraic expressions.

4. RATIONAL ALGEBRAIC
EXPRESSION
a ratio of two polynomials
provided that the denominator is
not equal to zero. In symbols: p/q
3, where P and Q are
polynomials and Q ≠ 0

5. The ratio of two polynomials
which the denominator is not
equal to zero is an algebraic
expression.

6. 1. + 7

7. 2.

8. 3.

9. 4.

10. 5. x² - 16

11. ACTIVITY: ALL ABOUT RATIONAL
Directions: Determine whether the
following statements on rational
algebraic expressions are correct.
Write “True” if the statement is true
and write “False” if the statement is
false.

12. 1. 1. is a rational
algebraic expression.

13. 1. 2. is equal to 1

14. 1. 3. is a rational expression
if P ≠ 1,Q = 0

15. 1.4. (x+4) is the factor
of

16. 1. 5. is equal to

17. SIMPLIFYING RATIONAL
EXPRESSIONS

18. Steps on Simplifying Rational
Expression
1. Factor completely the numerator
and denominator.
2. Separate and divide out
common factor/s if there is/are any.
3. Multiply the remaining factors.

19. 1.

20. 2.

21. 3.

22. 4.

23. ACTIVITY: HOW SIMPLE AM I?
Directions: Write the simplest form
of the given rational algebraic
expressions

24. RATIONAL
EXPRESSIONS
SIMPLIFIED
FORM