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KEY for Final Project Combining Like Terms1st DAY.notebook
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September 30, 2014
Nov 410:28 AM
Combining Like Terms
Click to reveal
Integer Practice
-8 - 9
-8 + 5
12 - 13
-4 + (-4)
-3 - 7
12 + 6
-9 - (-8)
5 + (-16)
13 - 21
-3
-1
-8
-10
18
-1
-11
-17
-8
Pull
Pull
May 39:21 AM
VocabularyNumerical Coefficient
Any number in front of a variable in a term. If there is no
number in front of the variable, the numerical coefficeint is
understood to be 1.
Examples
4a 10xy b -6x3
Feb 259:00 PM
VocabularyLike Terms
Terms with the exact same variables or variables raised to the
same power.
Examples4x and -10x 15xy and 17xy
-2x2y and 7x2y -9xy3 and 13xy3
Feb 259:19 PM
Determine whether the terms are LIKE or UNLIKE terms. Drag the
correct word over the terms.
-4x and -10x 13xy and 5y 5x2 and 9x
9x2y and 4x2y 3xy2 and 7x2y 17ab and -21ab
LIKE UNLIKELIKELIKE
LIKE
LIKE
LIKE
UNLIKE
UNLIKE
UNLIKE UNLIKE
UNLIKE
May 32:30 PM
Like Terms Matching Game
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KEY for Final Project Combining Like Terms1st DAY.notebook
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September 30, 2014
Feb 259:32 PM
Combining Like Terms - Important Note
NOTE: The subtraction sign and the negative sign mean the same
thing.
Examples: • 4 - 9 becomes 4 + (-9) as an addition problem so the
subtraction symbol tells you that the 9 is negative
• 5a - 4 becomes 5a + (-4) as an addition problem so the
subtraction symbol tells you the 4 is negative.
Feb 259:25 PM
Simplifying Expressions by Combining Like Terms
You can combine like terms by adding their numerical
coefficients.
Examples:
1. 5x + 9x - 12x 2. 14x + 9 + 6x
Feb 259:28 PM
More Examples
3. 9a2 - 6ab - 11a2 + 10ab
4. -6a + 7 - 3b - 4 + 2a + b
May 312:21 PM
Guided PracticeSimplify each expression.
1. -6x + 7x + 13x 2. 5x2 - 9 - 7x2 + 16
3. 3xy + 7x - 8xy + 9x 4. 8a2 + 9a - 9a2 - 17a
Answers
May 33:31 PM
Work with your partner to complete the following problems.The
expressions on the right have had their like terms combined. Match
each expression on the left with an expression on the right. When
done move the red check inside the green box to reveal the
answers.
8x - 3x
3x + 9y - 5x
-4x - 5x - 7xy
6xy + 4yz - 3xy + yz
7x2y - 2x2y + 5xy2 -3xy2
-4x - 7xy + 8y
8x + 9y - 5x
a. 5x2y + 2xy2
b. 5x
c. 3x + 9y
d. 3xy + 5yz
e. -2x + 9y
f. -4x -7xy + 8y
g. -9x - 7xy
b
e
g
d
a
f
c
May 35:10 PM
Summarizer
In your journal describe how you simplify expressions by
combining like terms.
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KEY for Final Project Combining Like Terms1st DAY.notebook
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September 30, 2014
May 38:22 PM
Complete the following worksheet:
Worksheet 55 - Combining Like Terms
May 38:58 PM
Additional Practice and Challenge Problems
(click to open)
May 312:21 PM
Guided Practice - AnswersSimplify each expression.
1. -6x + 7x + 13x
14x
2. 5x2 - 9 - 7x2 + 16
3. 3xy + 7x - 8xy + 9x 4. 8a2 + 9a - 9a2 - 17a
Back
(5x2 + (- 7x2)) + (-9 + 16)
-2x2 + 7
(3xy + (-8xy)) + (7x + 9x)
-5xy + 16x
(8a2 + (-9a2)) + (9a + (-17a))
-a2 - 8a
May 35:16 PM
Works Cited1. www.themathgames.com
2. www.MathWorksheetsGo.com
3. Developing Skills in Algebra - Book A Dale Seymour
Publications
4.
http://fillydelphia.com/sites/default/files/u3/journal.png
5.
http://www.pps.k12.or.us/schools/chiefjoseph/files/cmartinez/homework_title-1.gif
6.
http://t2.gstatic.com/images?q=tbn:ANd9GcScmIp6DNdttH9q11mkM35yANI_-
HKwaNuLAFibqtotjRdsUhmujA
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Attachments
Wksht 55.doc
combineliketermsworksheet.pdf
SMART Notebook
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www.MathWorksheetsGo.com
On Twitter: twitter.com/mathprintables
I. Model Problems. II. Practice
III. Challenge Problems
IV. Answer Key
Web Resources
How to combine like terms: (Video Tutorial)
www.mathwarehouse.com/algebra/like-terms/how-to-combine-like-terms-in-math.php
Like Terms Games :
www.mathwarehouse.com/games/maths-games-online.php
© www.MathWorksheetsGo.com All Rights Reserved
Commercial Use Prohibited
Terms of Use: By downloading this file you are agreeing to the
Terms of Use Described at
http://www.mathworksheetsgo.com/downloads/terms-of-use.php .
Graph Paper Maker (free): www.mathworksheetsgo.com/paper/
Math Games online (including like terms):
www.mathwarehouse.com/games/maths-games-online.php
http://www.mathworksheetsgo.com/
http://twitter.com/mathprintables
http://www.mathwarehouse.com/algebra/like-terms/how-to-combine-like-terms-in-math.php
http://www.mathwarehouse.com/games/maths-games-online.php#likeTermsGames
http://www.mathworksheetsgo.com/
http://www.mathworksheetsgo.com/downloads/terms-of-use.php
http://www.mathworksheetsgo.com/sheets/free-printable-graph-paper/
http://www.mathwarehouse.com/games/maths-games-online.php
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www.mathworksheetsgo.com
Combining Like Terms
Terms that contain the same variable or variables with the same
exponents are like terms.
To combine like terms, add the coefficients.
I. Model Problems
In these examples you will combine like terms.
Example 1: Simplify .
First change subtraction
to add the opposite.
Next group like terms. Add the coefficients of
the like terms.
Answer:
Example 2: Simplify .
First change subtraction to add the opposite:
Next group like terms:
Add the coefficients of
the like terms.
Answer:
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II. Practice
Simplify
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IV. Challenge Problems
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21. Write an expression for the perimeter of the figure
below.
22. Write an expression for the perimeter of the rectangle
below.
23. Write an expression for the perimeter of the regular hexagon
below.
24. Write the expression for the perimeter of a rectangle with a
length that is 5 inches longer than its width.
25. Write the expression for the perimeter of a rectangle with a
length that is 4 centimeters longer than three times its width.
IV. Answer Key
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1.
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24. in
25. cm
SMART Notebook
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