## Alexey Algebra I Chptr 1

##### Created by:

vhccpa  on June 24, 2012

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Properties and Terms

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# Alexey Algebra I Chptr 1

 Equationhas "=" sign, 3x + 7 = 4
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#### Definitions

Equation has "=" sign, 3x + 7 = 4
Substitution Property If x=12 then 2x = 2(12);
if a=4 and 6 = a +2 then 6 = 4 +2
Multiplicative Inverse Property 4/5 . 5/4 = 1, a/b . b/a = 1
Symmetric Property If a = b then b=a; if 2 + x =7 then 7 = 2 + x
Open Sentence no "=" sign, example 3x + 6
Multiplicative Property of 1 A number times 1 is itself; 3 x 1 = 3; a x 1 = a
Additive Inverse Property A number and its opposite = 0; 3 + (-3) = 0; -a + a = 0
Additive Property of 0 A number plus 0 equals itself; 2 + 0 = 2; a + 0 = a
Associative Property (Addition) Doesn't matter which way you group numbers when adding ; 2 + (4 + 8) = (2 + 4) + 8
Associative Property (Multiplication) Doesn't matter which way you group numbers when multiplying ; 2 X (4 X 8) = (2 X 4) X 8
Transitive Property If a = b & b = c then a = c;
if 6 +9 = 3 +12 & 3 +12 = 15 then 6 + 9 = 15
Multiplicative property of 0 When you Multiply by 0, the answer is always 0;
2 x 0 = 0; 3a x 0 = 0
4 + 8 = 8 + 4
Commutative Property (Multiplication) Number order can be changed in multiplication;
3 x 2= 2 x 3
Reflexive Property Equal to itself; a = a; 4 +3 = 4 +3
Less than Sub (-)
Quotient Divide (รท)
Decrease Sub (-)
Difference Sub (-)