# Combining Like Terms

Title: Combine Like Terms

Why: Combining like terms is essential to algebraic problem solving.

Objectives
 Learners will read the text about combining like terms Learners will learn to combine like terms with multiple variables

Success Criteria:

After completion of this module, learners will be able to
1. Define terms and like terms.
2. Simplify algebraic expressions involving addition and subtraction.

Prerequisites: Learners should know how to combine signed numbers.

Experience:

1. Read the information and examples for combining like terms.
2. Using the first example, redo it on another piece of paper without looking at the answer. Then, check your work.

Key Questions (Critical Thinking Questions)

1. Simplify: 2ab + 7ba (Apply the Commutative Property for Multiplication to get like terms)
2. Give an example of a term that could be added to 4ab.
3. 3x2 -4xy +8y2 + (? ? ?) = x2 -7xy +12y2
4. 3a – 2ab + 4ac – 14b + ( ? ? ? ? ?) = -6ab - 8ac + 20b + 5c
5. Give a real-life example as a model for combining like terms.

Skill Exercises:

1. Simplify:
a. 7u + 12uv – 9v +8z -14u + 15z -v
b . 15pq -6p + 12 – 8p
c. a + b + 4c +4 – a – b - 4
2. Explain how to combine like terms to someone you know.

Problems:

1. Create a problem with an answer of 18abc + 4ab – 6ac - 13

Validation: