The document discusses like and unlike terms in algebra. It defines like terms as terms that have the same algebraic (variable) factors, while unlike terms have different algebraic factors. To determine if two terms are like or unlike, ignore the numerical coefficient and check if the terms have the same algebraic factors. Examples are provided to illustrate identifying like and unlike terms and their factors. Students are assigned classwork and homework practicing working with like and unlike terms.

1. QUESTION:
On what basis did you sort these objects
into 2 groups?
Which of these are the same?

2. ACTIVITY:
A. 3xy
B. 2𝒚 𝟐
What are the factors of these terms?
Which factors are algebraic factors (literal
coefficients)?
Which factors are numerical coefficients?
Are the algebraic factors (literal coefficients) of
both terms the same or different?

3. AIM:
Today we will learn about like
terms and unlike terms.

4. TASK:
A. 6xy
B. 4𝒙 𝟐
C. 2yx
D. 𝒚 𝟐
x
E. 𝒙 𝟐
F. 7x𝒚 𝟐
Identify the factors of the terms. Then, group
the terms according to their algebraic factor.

5. LIKE TERMS
These are terms that have exactly the
same algebraic (variable) factors.
Terms that have different algebraic factors
are known as unlike terms.

6. How to determine
whether two terms are
like or unlike?
• Ignore the numerical coefficient of the
terms.
• Check if the two terms have the same
algebraic factors.
• If they have the same algebraic factors,
they are like terms; otherwise, they are
unlike terms.

7. EXAMPLE:
A. 3xy, 9yx
B. 4𝒙 𝟐
𝐲, 𝟒𝐱𝒚 𝟐
Identify whether the following pair of terms is
like or unlike. Give reasons for your answer.

8. EXAMPLE:
John has 3 set of tiles.
Set 1 Set 2 Set 3
𝒙 𝟐
𝒙 𝟐
𝒙 𝟐 xx xx
What is the number of tiles of each type
in Set 1? Set 2? Set 3?
What do we learn from these?

9. REMEMBER:
To add like terms, we add the numerical
coefficients and keep the algebraic factors
(variables) the same.

10. CLASSWORK:
FINISH S1, page 22 from your
XSEED Workbook

11. HOMEWORK:
Complete Practice Questions 1 – 3,
page 107