Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 12, 2015
Bellringer - in guided notes
Write a variable expression that represents each phrase. 1) Eleven more than a number y.
2) Nine less than a number c.
3) The quotient of five times a number b and twenty.
4) The product of 5 and a number z minus 10.
Check HW ­ Practice 2.1>
Jul 26­12:38 PM
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Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 12, 2015
Unit 2
Chapter 2 Section 2
Simplifying Expressions
Objective: To simplify algebraic expressions using properties of operations
Like Terms: terms that have the same variable factors
(the same base and same exponents)
Coefficient:
Examples:
a numerical factor of a term with a variable
2a and 5a
5x2 and 12x2
6ab2 and 7ab2
Unlike Terms: terms with different variable parts
Examples:
8a and 8b
6x2 and 7x
15a2b and 45ab2
Combining like terms: the process of adding or subtracting like terms
Distributive Property: allows you to multiply each term inside a set of
parentheses by a factor outside the parentheses
terms
3(n + 2)
= 3n + 6
factor
Jun 6­8:17 PM
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Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 12, 2015
Examples:
Combining Like Terms
• Identify which parts of the expression are like terms
• Group them together
• Simplify the coefficient
1) 5x + 9 + 2x ­ 4
2) 10r ­ 5 + 3 + r
3) 9c + 3d ­ 7c ­ 8d
4) 4n2 ­ n2 5) 6 + 7.2y ­ 4.2y + 1
6) 15ab + 2bc ­ 4ab ­ 10bc
Jun 10­10:28 AM
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Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 12, 2015
Distributive Property
• Distribute factor on the outside of parentheses to terms inside the parentheses
• Combine like terms
1) 5(2x ­ 4)
2) ­2(y ­ 8)
3) (2x + 3)6 ­ 4
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4) (2 ­ 8v) + 5 5) 9 ­ (3z + 2)4
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6) (12y + 9) + 4
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Sep 8­5:30 PM
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Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 12, 2015
Homework:
Snowman Puzzle and Souvenirs Puzzle Jun 10­11:04 AM
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