Section 1-7: The Distributive Property

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Section 1-7: The
Distributive Property
Pearson Common Core Algebra I
I am learning to…
O Use the distributive property to simplify
expressions.
Example 1: Simplifying
Expressions
O 5 π‘₯+7
1
6
O 12 3 βˆ’ 𝑑
Homework
O Page 50 #’s 9-24 all
Vocabulary Section 1-7
O Distributive Property:
O π‘Ž 𝑏 + 𝑐 = π‘Žπ‘ + π‘Žπ‘
𝑏 + 𝑐 π‘Ž = π‘π‘Ž + π‘π‘Ž
O π‘Ž 𝑏 βˆ’ 𝑐 = π‘Žπ‘ βˆ’ π‘Žπ‘
O 𝑏 βˆ’ 𝑐 π‘Ž = π‘π‘Ž βˆ’ π‘π‘Ž
O
Example 2: Rewriting Fraction
Expressions
O
4π‘₯βˆ’16
3
11+3π‘₯
O
6
Example 3: Using
Multiplication Property of -1
O βˆ’ π‘Ž+5
O βˆ’(βˆ’π‘₯ + 31)
Vocabulary Section 1-7
O Term- a number, a variable, or the product of
a number and one or more variables.
O Constant- a term that has no variables.
O Coefficient- a numerical factor of a term.
O Like Terms- terms that have the same
variable factors.
Example 4: Combining Like
Terms
O 3𝑦 βˆ’ 𝑦
O βˆ’7π‘šπ‘›4 βˆ’ 5π‘šπ‘›4
O 7𝑦 3 𝑧 βˆ’ 6𝑦𝑧 3 + 𝑦 3 𝑧
Formative Assessment
O Page 50 #’s 10-40 even and 54-64 even