combining like terms - higley unified school districtcombining like terms work with your partner to...
TRANSCRIPT
-
Combining Like Terms
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
-
Combining Like Terms
VocabularyNumerical Coefficient
The number IN FRONT of a variable. If there is no number, the coefficient is 1.
Examples
4a 10xy b -6x3
-
Combining Like Terms
VocabularyLike Terms
Terms with the exact same variables or variables with the same exponent.
Examples4x and -10x 15xy and 17xy
-2x2y and 7x2y -9xy3 and 13xy3
-
Combining Like Terms
Determine whether the terms and 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 UNLIKELIKELIKELIKELIKELIKE UNLIKEUNLIKEUNLIKEUNLIKEUNLIKE
-
Combining Like Terms
Like Terms Matching Game
-
Combining Like Terms
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.
-
Combining Like Terms
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
-
Combining Like Terms
More Examples
3. 9a2 - 6ab - 11a2 + 10ab
4. -6a + 7 - 3b - 4 + 2a + b
-
Combining Like Terms
Guided PracticeSimplify each expression.
1. -6x + 7x + 13x 2. 5x2 - 9 - 7x2 + 16
3. 3xy + 7x - 8xy + 9x 4. 8a2 + 9a - 9a2 - 17a
Answers
-
Combining Like Terms
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
-
Attachments
Wksht 55.doc
combineliketermsworksheet.pdf
SMART Notebook
-
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
-
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:
-
www.mathworksheetsgo.com
II. Practice
Simplify
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
IV. Challenge Problems
-
www.mathworksheetsgo.com
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
-
www.mathworksheetsgo.com
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24. in
25. cm
SMART Notebook
Page 1: Click to revealPage 2: May 3-9:21 AMPage 3: Feb 25-9:00 PMPage 4: Feb 25-9:19 PMPage 5: May 3-2:30 PMPage 6: Feb 25-9:32 PMPage 7: Feb 25-9:25 PMPage 8: Feb 25-9:28 PMPage 9: May 3-12:21 PMPage 10: May 3-3:31 PMAttachments Page 1