Transcript 10-2 combine like terms

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
2-9 Combining
Insert Lesson
Here
LikeTitle
Terms
Learn to combine like terms.
Vocabulary
term
coefficient
like terms
Course 2
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.
7x
term
+
5
–
term
Coefficient
3y2
term
+
x
y+ 3
term term
Variable
term
Coefficient: a number that is multiplied by a variable
10/2/08
Combining Like Terms
#16
Like terms are terms with the same variable
raised to the same power.
Constants, like 5, 1
2, and 3.2, are also like
terms.
Like Terms
Unlike
Terms
w and w
5 and 1.8
7
5x2 and 2x
6a and 6b
3.2 and n
The exponents The variables Only one term
contains a
are different. are different
variable
3x and 2x
2-9 Combining Like Terms
Identify like terms in the list.
3t
5w2
7t
9v
Like terms: 3t and 7t
4w2
8v
5w2 and 4w2
9v and 8v
Helpful Hint
Use different shapes or colors to indicate sets of
like terms.
Course 2
2-9 Insert
Lesson
Title
Here
Combining
Like
Terms
Identify like terms in the list.
2x
4y3
8x
5z
5y3
8z
Look for like variables with like powers.
2x
4y3
8x
5z
Like terms: 2x and 8x
Course 2
5y3
8z
4y3 and 5y3
5z and 8z
2-9 Insert
Lesson
Title
Here
Combining
Like
Terms
Combining like terms is like grouping similar objects.
x
x
x
x
4x
+
+
x
x
x
x
5x
x
=
=
x
x
x
x
x
x
x
x
x
9x
To combine like terms that have variables, add or
subtract the coefficients.
Course 2
2-9 Combining Like Terms
Combine like terms.
A. 6t – 4t
2t
6t and 4t are like terms.
Subtract the coefficients.
B. 45x – 37y + 87
In this expression, there are no like terms
to combine.
Course 2
2-9 Combining Like Terms
Additional Example 2C: Combining Like Terms
Combine like terms.
C. 3a2 + 5b + 11b2 – 4b + 2a2 – 6
3a2 + 5b + 11b2 – 4b + 2a2 – 6
(3a2 + 2a2) + (5b – 4b) + 11b2 – 6
5a2 + b + 11b2 – 6
Course 2
Identify like
terms.
Group like
terms.
Add or subtract
the coefficients.
2-9 Insert
Lesson
Title
Here
Combining
Like
Terms
Combine like terms.
C. 4x2 + 4y + 3x2 – 4y + 2x2 + 5
4x2 + 4y + 3x2 – 4y + 2x2 + 5
(4x2 + 3x2 + 2x2)+ (4y – 4y) + 5
9x2 + 5
Course 2
10/2/08
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!
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
x
3x + 2
Write an expression using
the side lengths.
(x + 3x + 2x) + (2 + 3) Identify and group like
terms.
6x + 5
Combine like terms.
x + 3x + 2 + 2x + 3
Course 2
2-9 Insert
Lesson
Title
Here
Combining
Like
Terms
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 + 2x) + (1 + 1) Identify and group like
terms.
5x + 2
Combine like terms.
x + 2x + 1 + 2x + 1
Course 2