1. 10/2/08 Combining Like Terms #16
Retakes:
-Quiz corrections due TODAY
-Retakes Friday at lunch
Quiz:
-Tomorrow’s quiz on LCM, GCF, and prime factorization.
-Assignment redo cutoff through # 10
4th period- set up for curriculum night!
Today’s Plan
-Correct
-Questions/clarification
-Combining Like Terms
Assign. 2-9 B or C odds or evens on graph paper w/work

2. Insert Lesson Title Here
Course 2
2-9
Combining Like Terms
Insert Lesson Title Here
Learn to combine like terms.
Vocabulary
term
coefficient
like terms

3. 7 x 10/2/08 Combining Like Terms #16
Terms in an expression are separated by + and –.
A term can be a number, a variable, or a product of numbers and variables. x 3
7x – 3y y +
term
term
term
term
term
Coefficient
Variable 7
term x
Coefficient: a number that is multiplied by a variable

4. 10/2/08 Combining Like Terms #16
Like terms are terms with the same variable raised to the same power.
Constants, like 5, , and 3.2, are also like terms. 1 2
Like Terms
Unlike Terms w 7
3x and 2x
w and
5 and 1.8
5x2 and 2x
6a and 6b
3.2 and n
Only one term
contains a
variable
The exponents
are different.
The variables
are different

5. 2-9 Combining Like Terms Identify like terms in the list.
Course 2
2-9
Combining Like Terms
Identify like terms in the list.
3t 5w2 7t 9v w2 8v
Like terms: 3t and 7t 5w2 and 4w2 9v and 8v
Use different shapes or colors to indicate sets of like terms.
Helpful Hint

6. Insert Lesson Title Here
Course 2
2-9
Combining Like Terms
Insert Lesson Title Here
Identify like terms in the list.
2x 4y3 8x 5z y3 8z
Look for like variables with like powers.
2x 4y3 8x 5z y3 8z
Like terms: 2x and 8x 4y3 and 5y3 5z and 8z

7. Insert Lesson Title Here
Course 2
2-9
Combining Like Terms
Insert Lesson Title Here
Combining like terms is like grouping similar objects. x x x x x x x x + = x x x x x x x x x x = 9x 4x + 5x
To combine like terms that have variables, add or
subtract the coefficients.

8. 2-9 Combining Like Terms Combine like terms. A. 6t – 4t
Course 2
2-9
Combining Like Terms
Combine like terms.
A. 6t – 4t
6t and 4t are like terms. 2t
Subtract the coefficients.
B. 45x – 37y + 87
In this expression, there are no like terms
to combine.

9. Additional Example 2C: Combining Like Terms
Course 2
2-9
Combining Like Terms
Additional Example 2C: Combining Like Terms
Combine like terms.
C. 3a2 + 5b + 11b2 – 4b + 2a2 – 6
Identify like
terms.
3a2 + 5b + 11b2 – 4b + 2a2 – 6
Group like
terms.
(3a2 + 2a2) + (5b – 4b) + 11b2 – 6
5a2 + b + 11b2 – 6
Add or subtract
the coefficients.

10. Insert Lesson Title Here
Course 2
2-9
Combining Like Terms
Insert Lesson Title Here
Combine like terms.
C. 4x2 + 4y + 3x2 – 4y + 2x2 + 5
4x2 + 4y + 3x2 – 4y + 2x2 + 5
(4x2 + 3x2 + 2x2)+ (4y – 4y) + 5
9x2 + 5

11. 2-9 B or C; odds or even (different than neighbor) On graph paper
10/2/ Combining Like Terms #16
Assignment:
2-9 B or C; odds or even (different than neighbor)
On graph paper
Show all work
Retakes:
-Quiz corrections due TODAY
-Retakes Friday at lunch
Quiz:
-Tomorrow’s quiz on LCM, GCF, and prime factorization.
-Assignment redo cutoff through # 10
4th period- set up for curriculum night!

12. Additional Example 3: Geometry Application
Course 2
2-9
Combining Like Terms
Additional Example 3: Geometry Application
Write an expression for the perimeter of the triangle shown. Combine like terms in the expression.
2x + 3
3x + 2 x
Write an expression using
the side lengths.
x + 3x x + 3
(x + 3x + 2x) + (2 + 3)
Identify and group like terms.
6x + 5
Combine like terms.

13. Insert Lesson Title Here
Course 2
2-9
Combining Like Terms
Insert Lesson Title Here
Try This: Example 3
Write an expression for the perimeter of the triangle shown. Combine like terms in the expression.
2x + 1
2x + 1 x
Write an expression using
the side lengths.
x + 2x x + 1
(x + 2x + 2x) + (1 + 1)
Identify and group like terms.
5x + 2
Combine like terms.