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8/12/2019 Multiplication Expressions and Combining Like Terms - Part II
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MULTIPLICATIONEXPRESSIONS &
COMBINING LIKE TERMSDAY 2
Van Siclen Community Middle School
Grade 6 MathClass 603/604/605
March 21, 2014
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8/12/2019 Multiplication Expressions and Combining Like Terms - Part II
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LESSON OVERYesterdays Lesson
Yesterday we continued topractice expanding expressionsand shortening expressions.
Example: The expression 7ABC canbe expanded and written as7ABC.
Example: The expression 5DEFcan written in fewer terms as: 5DEF.
We also learned about finding theproduct of two terms. For example,the product of 7A and 6B = 42AB.Multiply the coefficientsfirst, andthen multiply the variables.
We also learned about combininglike terms for the first time.
Todays Lesson Today we will practice combining
like terms, expanding expressions,and writing expressions in thefewest terms possible.
Work on the Do Now on the Nextpage. You have 8 minutes.
Homework Combining like
topic in pre-alg
Todays homewand will count tmarking period
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DO N
Question #1
Mr. E has 3 times the amount ofgames as Mr. Campbell. If Mr. E has120 more games than Mr.
Campbell, how many CDs do theyhave altogether?
Question #2
Find the least common m10 and 15
Find the least common m
12 and 6.
Find the least common mand 6
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COMBINING LIKE TERMKHAN ACADEMYhttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expand-variables/cc-6th-equivalent-expressions/v/combining-like-terms
Tinyurl.com/combiningLT
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-termshttps://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/v/combining-like-terms -
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COMBINING LIKE TERMSACA
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COMBINING LIKE
Each part of an expression is calleda term. For example, lets take theexpression 6y + 3y. There are twocoefficients. What are they?
The two terms in this expressionareseparated by the addition sign.
Therefore two terms are 6yand 3y. Ican combine 6y and 3y becausethey are what we call like terms.They are terms that both containthe variable y. Therefore, I cancombine them. 6y + 3y = 9y.
6y + 5y2c
8c3c + 2c
10mm
3a + a
6u5u + 2c - c
Combine Like Terms
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COMBINING LIKE TE
However, when combining liketerms, we can only combine theterms that are alike. For example, inthe expression 6y+ 3a no terms canbe combined because ys andas are not like terms. In other
words, you can only combine yswith ys and as with as.
Take the expression 3a + 3b + 5c.Are there any terms that can becombined? Why or why not?
9a + 4a - 12a
10c9b + a
10C10C
3y + 12y8n
0 + 33 + 5N
Combine Like Terms
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COMBINING LIKE TER
In an expression, numbers are terms aswell. For example, in the expression 6y + 3y+ 10 there are 3 terms. 6y, 3y, and 10.
Can you combine like terms?
How about the expression 7a + 3a + 76?
9y + 5 + 102y
10x +3xy + y
7j1b + 3c
1000b + 2000A + 5000b
Combine Like terms:
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COMBINING LIKE TER
Not all expressionsare going to be writtenin a convenient order. For example, lookat the following two expressions:
Expression # 1: 3A + 4A + 5B +10
Expression # 2 : 3A + 5B +4A + 10
If you notice, in both expressions, the terms
are the same, however the order isdifferent (in the second expression, 4A iswritten in a different part of theexpression).
We still need to combine 3A and 4A. Whatsign is in front of 4A? This is the sign we useto combinethe terms. Since there is an
addition sign in front of the 4A, well add3A + 4A.
3y + 5y + 2a + a
10y - 9yy
4c5b + 3a
3A + 3A + 5b +10 + 5
Combine Like terms:
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TODAYS CLASSW
Shorten the Expressions
73ab
97B
10ABW
633JW
100101D
Expand the Expressions
95WC
15B
76AB
12B
50ABC
100DCA
Combine L
8D + 3B +
7A + 5A +
0 +10A
10b + 5b
10 + 8c
6p + 3d +
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MATH HOMEWORKMARCH 2COMBINE LIKE
1) 12a + 3b + 5b5a
2) 7a - 1a3b2b
3)10a +10 - 4a + 4
4) 15 -103B2B
5) 5c + 15 + 3cc - 10
6) 6d5b2c7) 3 + 104b + 3a3a
8) 10p + 10a3p - 10a7p
Complete these questions on the back of the worksheet.