Introduction
Students are given random cards as they walk in the classroom. Students are to “find their family members” as they search for other students that have cards similar to theirs.
After students find their groups have a discussion as to what is unique about their groups. Students may notice that their groups consist of all x’s, or all 's.
Task
Students are expected to know and understand how to combine like terms. Also, how to distinguish like terms and unlike terms and simply it.
Process
Identifying Like Terms
We call terms "like terms" if they have the same variable part. For example, 4x and 3x are like terms, but 4x and 3w are not like terms.
The cool thing about like terms is that we can combine them into a single term by adding their coefficients.
Like terms have the same variable raised to the same power.
EXAMPLE #1:
Identify the like terms in the following expressions.
a) − 3d + 8 − d − 2
[− 3d,−d and 8,−2]
b) 6n² − 7n − 4 + n
[− 7n,n]
You Try #1
Identify the like terms in the following expressions.
a) 2 + 3a + 9a
b) 12c² + 3 − 5c + 9c2 − 2c - 1
Simplifying Expressions and Combining Like Terms
EXAMPLE #2:
Simplify the expression below, justify your answers.
a) 3a + 2 + 9a
=3a + 9a + 2 Commutative Property
= 12a + 2 Combine Like Terms
The Commutative Property of Addition allows us to rewrite the expression so that the like terms are next to each other.
b) 2a(a+3)-5a+5
= 2a²+6a-5a+5 Distributive Property
= 2a² - a + 5 Comine Like Terms
YOU TRY:
Simplify the expression below, justify your answers.
a) 3m + 7 − 4m
b) 2x (3 − x) + 5x (4 + 2x) − 5
Evaluation
Do the following as required
Instruction : Simplify the following expression below and justify your answers.
1. 3a²(2a+4) - 5a³+4-2a
2. 2x²+14-5x + 3x²-4x+11
3. 3x² + 2y² -(x²-y²)
4. 12ax + 2a - 5 + 2ax - 3x + 6 -4a
5. 4x²(2+2x) + 2x² + 6 + 7x
Credits
Teacher Page
The content of this WebQuest are designed for our subject (Technology for Teaching and Learning I), for the purpose of application on what we have learned in using of WebQuest (and other instructional materials online) under the supervision of Ms. Anabel Solana, Instructor, TTL-I, for BSED2 (Math, English and BPE).