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Algebraic Properties

AB
a = areflexive property
If a=b, then b=asymmetric property
If a=b and b=c, then a=ctransitive property
For any number a, a x 0= 0 x a = 0Multiplicative property of zero
For any number a, a + 0 = 0 + a = aAdditive identity property
For any number a, a x 1= 1 x a = aMultiplicative identity property
For any numbers a and b, a + b=b + a and a x b=b x aCommutative properties
For any numbers a, b, and c, (a + b) + c = a + (b + c)Associative property
What is a formula?An equation that states a rule for the relationship between certain quantities
Order of operationsSimplify expressions in the grouping symbols, evaluate all powers, do all multiplications and divisions from left to right, do all addition and subtraction from left to right
Variablesymbols used to represent unspecified numbers
SetCollection of objects and numbers
Empty setSet with no elements
Area of a triangleA = 1/2 (bh)
Problem solving planExplore, plan, solve, examine
(3 +4) + 2 = 7 +2substitution property of equality
5 x 6 - 3 x 5 = yy = 15
Solving an open sentencefind the replacements for the variable that make a sentence true
twice John's age decreased by 23 years2x - 23
Simplest formNo like terms and no parenthesis

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