1. Lesson 1­3.notebook September 10, 2012
Assignment:
Due Wednesday (9/12)
1­­>L1.3, pg. 20, #31­49 (all)
& L1.4, pg. 27­28, #3­54 (thirds)
2­­>Test signed??
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2. Lesson 1­3.notebook September 10, 2012
Lesson 1.3 WarmUp:
1) Write an algebraic expression for:
18 decreased by the product of a number and 3
Evaluate:
2) [(63 ­ 9) 23]4
3) 2 82 ­ 22 8
2 8
Evaluate the following if a = 2, b = 8, and c = 11.
4) (2c + 3a) 4
5) 3a(a + b)2 ­ 1
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3. Lesson 1­3.notebook September 10, 2012
Lesson 1.3:
Properties:
*reflexive property ­ any quantity is equal to itself (a = a)
*symmetric property ­ if one quantity equals a second quantity, then the
second quantity equals the first (if a = b, then b = a)
*transitive property ­ if one quantity equals a second quantity, and the
second quantity equals a third quantity, then the first quantity equals the
third quantity (if a = b and b = c, then a = c)
*substitution property ­ a quantity may be substituted for its equal in
any expression (if a = b, then a may replace b in any expression)
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4. Lesson 1­3.notebook September 10, 2012
*additive identity ­ the sum of a number and 0 is that number (a + 0 = a)
*additive inverse ­ the sum of a number and its opposite is 0 (a + (­a) = 0)
*multiplicative identity ­ the product of a number and 1 is that number (a 1 = a)
*multiplicative property of zero ­ any number times 0 equals 0 (a 0 = 0)
*multiplicative inverse ­ the product of a number and its reciprocal is 1
(a/b b/a = 1)
*commutative property (add or mult) ­ the order in which you add or multiply numbers
does not change the sum or product
*associative property (add or mult) ­ the way you group numbers when adding or
multiplying does not change the sum or product
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5. Lesson 1­3.notebook September 10, 2012
Lesson 1.3 examples:
A) Evaluate the expression if a = ­1, b = 4, and c = 6.
3a2 + 2b + 2c2
Find the value of x. Then name the property used.
B) 4.8 + x = 4.8
x = 0; additive identity
C) 16 4 = 4 x
x = 16; commutative (mult)
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