multiplication expressions and combining like terms - part ii

8/12/2019 Multiplication Expressions and Combining Like Terms - Part II

1/12

MULTIPLICATIONEXPRESSIONS &

COMBINING LIKE TERMSDAY 2

Van Siclen Community Middle School

Grade 6 MathClass 603/604/605

March 21, 2014


2/12


3/12

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


5/12

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


6/12

COMBINING LIKE TERMSACA


7/12

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


9/12

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:


10/12

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 +

6c + 5a -


12/12

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.

multiplication expressions and combining like terms - part ii

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