# Study sets matching "algebra ii honors math properties equality"

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addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

if a=b, then a+c=b+c

if a=b, then a-c=b-c

if a=b, then a

**c =b**c, where c is not equal to zeroif a=b, then a/c=b/c, where c is not equal to zero

addition property of equality

if a=b, then a+c=b+c

subtraction property of equality

if a=b, then a-c=b-c

Commutative Property of Addition

Closure Property of Addition

Closure Property of Multiplication

Commutative Property of Multiplication

a + b = b + a

a + b is a real number

a•b is a real number

ab=ba

Commutative Property of Addition

a + b = b + a

Closure Property of Addition

a + b is a real number

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commutative addition/multiplication

associative addition/multiplication

identity addition/multiplication

inverse addition/multiplication

a+b=b+a... ab=ba

(a+b)+c=a+(b+c)... (ab)c=a(bc)

a+0=a, 0+a=a... 1xa=a, ax1=a

a+(-a)=0... ax1/a=1

commutative addition/multiplication

a+b=b+a... ab=ba

associative addition/multiplication

(a+b)+c=a+(b+c)... (ab)c=a(bc)

Associative Property

Commutative Property

Distributive Property

Additive Identity

**parentheses**(a+b)+c=a+(b+c) OR ab(c)

**order changes**a+b=b+a

a(b+c)=a x b +a x c

**adding a 0**a + 0=a

Associative Property

**parentheses**(a+b)+c=a+(b+c) OR ab(c)

Commutative Property

**order changes**a+b=b+a

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Distance between A and B,AB> I'd the absolute value of the dif…

If B I'd between A and C, then AB plus BC equals AC

The measure of angle AOB is equal to the absolute value of the…

Of P is in the interior of angle RST then the measure of angle…

Ruler Postulate

Distance between A and B,AB> I'd the absolute value of the dif…

Segment Addition Postulate

If B I'd between A and C, then AB plus BC equals AC

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

1+4+7 = 7+1+4

2 x 4 x 6 = 6 x 2 x 4

6+(9+3) = (6+9)+3

(4 x 6) x 2 = 4 x (6 x 2)

Commutative Property of Addition

1+4+7 = 7+1+4

Commutative Property of Multiplication

2 x 4 x 6 = 6 x 2 x 4

Closure

Commutative

Associative

Identity

Addition: a + b is a real number... Multiplication: a x b is real…

Addition: a + b = b + a... Multiplication: a x b = b x a

Addition: (a+b) + c = a + (b+c)... Multiplication: (a x b) x c =…

Addition: a + 0 = a ; 0 is the additive identity... Multiplicatio…

Closure

Addition: a + b is a real number... Multiplication: a x b is real…

Commutative

Addition: a + b = b + a... Multiplication: a x b = b x a

Commutative Property of Multiplication

Commutative Property of Addition

Associative Property of Multiplication

Associative Property of Addition

3 x 2 = 2 x 3

5 + 4 = 4 + 5

(7 x 2) x 6 = 7 x (2 x 6)

(8 + 7) + 1 = 8 + (7 + 1)

Commutative Property of Multiplication

3 x 2 = 2 x 3

Commutative Property of Addition

5 + 4 = 4 + 5

Closure Property

Equality Property

Distributive Property

Commutative Property of Addition

Any algebraic combination of comples numbers results in a comp…

Complex numbers are equal if and only if the real and imaginar…

6(3 + 5) = (6 x 3) + (6 x 5)

Complex numbers may be added in any order and the sum will be…

Closure Property

Any algebraic combination of comples numbers results in a comp…

Equality Property

Complex numbers are equal if and only if the real and imaginar…

a + b is a unique real number

(a + b) + c = a + (b + c)

a + b = b + a

There exists an element - a ∈ R such th…

Closure property for addition

Associative property for addition

Commutative property for addition

Identity property for addition

a + b is a unique real number

Closure property for addition

(a + b) + c = a + (b + c)

Associative property for addition

Natural numbers

Whole numbers

Integers

Rational numbers

Counting numbers, Not zero (1,2,400)

Counting numbers including 0 (0,64578,13,2)

Positive and negative whole numbers, no fractions (6,10,-34)

Any number written in form a/b where A and B are integers, B c…

Natural numbers

Counting numbers, Not zero (1,2,400)

Whole numbers

Counting numbers including 0 (0,64578,13,2)

addition prop

subtraction prop

multiplication prop

division prop

if a=c and c=d then a+c=b+d... you may add the same value to both…

if a=b and c=d the a-c=b-d... you may subtract the same value to…

if a=b then ca=cb... you may multiply the same value to both side…

if a=b and c does not equal 0, the a/c = b/c... you may divide th…

addition prop

if a=c and c=d then a+c=b+d... you may add the same value to both…

subtraction prop

if a=b and c=d the a-c=b-d... you may subtract the same value to…

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a + b is a unique real number

(a + b) + c = a + (b + c)

a + b = b + a

There exists an element - a ∈ R such th…

Closure property for addition

Associative property for addition

Commutative property for addition

Identity property for addition

a + b is a unique real number

Closure property for addition

(a + b) + c = a + (b + c)

Associative property for addition

addition property

subtraction property

multiplication property

division property

if a=b and c=d, then a+c = b+d

if a=b and c=d, then a-c = b-d

if a=b, then ca=cb

if a=b and and c≠ 0, then a/c = b/c

addition property

if a=b and c=d, then a+c = b+d

subtraction property

if a=b and c=d, then a-c = b-d