Unit 1 Section 6 Combining Like Terms and Distributive Prop.notebook September 15, 2015
Sep 12­1:10 PM
Combining Like Terms
&
The Distributive Property
Oct 6­8:35 AM
Unit 1 Section 6 Combining Like Terms and Distributive Prop.notebook September 15, 2015
Vocabulary
Coeffiecient: the numerical factor when a term
has a variable.
Term: a number, variable, or product or quotient
of numbers and variables.
Like Terms: terms that are exactly the same or
differ only in their numerical coefficients.
Examples:
Unlike Terms:terms that are not like terms.
Examples:
Oct 6­8:44 AM
Coefficients
3
2
6x + 4x ­ 3x Terms
Oct 18­8:56 AM
Unit 1 Section 6 Combining Like Terms and Distributive Prop.notebook September 15, 2015
Name the terms and tell whether they are like or unlike.
1)
3d + 6
2) m ­ 3m
3)
­6a2 b + 3ab2 4)
4x2 y + 3x2 y
Oct 6­8:46 AM
Combine like terms
5) 4x + 5x
6) ­3y3 + 2y3 + 8y ­ y
7) ­1 ­ 6m + 12 ­ 2m
8) ­14m ­ 4n + 3m ­ 3n
9) 9b2 + 4(5b) ­ 8b 2 10) ­2 + 5g ­ 4h + 3h + 4 + 7g
Oct 6­8:46 AM
Unit 1 Section 6 Combining Like Terms and Distributive Prop.notebook September 15, 2015
Distribute and combine like terms.
11) 12)
(y ­ 7)(­2)
13) 14)
4x ­ 5(x ­ 8) 15) ­7(3mn + mn2) ­ 5(mn2 ­ m2n)
16) 4a ­ [­(5a ­ 2) + 8a]
1
17) 1 (8v + 4w) + (10w ­ 12v)
4
2
Sep 12­7:53 AM
Simplify. Then evaluate if a = 6 and b = ­5.
18)
19)
Sep 12­7:58 AM
Unit 1 Section 6 Combining Like Terms and Distributive Prop.notebook September 15, 2015
Keystone Ready
One of the steps Jamie used to solve an equation is shown below.
­5(3x + 7) = 10
­15x + ­35 = 10
Which statements describe the procedure Jamie
used in this step and identify the property that
justifies the procedure?
A. Jamie added –5 and 3x to eliminate the
parentheses. This procedure is justified by the
associative property.
B. Jamie added –5 and 3x to eliminate the
parentheses. This procedure is justified by the
distributive property.
C. Jamie multiplied 3x and 7 by –5 to eliminate the
parentheses. This procedure is justified by the
associative property.
D. Jamie multiplied 3x and 7 by –5 to eliminate the
parentheses. This procedure is justified by the
distributive property.
Sep 12­7:58 AM
Homework:
Homework Packet page 27 and 28
Sep 10­3:53 PM
Unit 1 Section 6 Combining Like Terms and Distributive Prop.notebook September 15, 2015
Combining Like Terms Game!
http://themathgames.com/our­games/like­terms­games/combine­like­terms­game
Aug 31­9:36 PM
Sep 10­3:53 PM