# Study sets matching "algebra properties"

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1+2 = 2+1

2(3) = 3(2)

(1+2)+3 = 1+(2+3)

(1 x 2)3 = (2 x 3)1

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

1+2 = 2+1

Commutative property of addition

2(3) = 3(2)

Commutative property of multiplication

Addition Property of Equality

Subtraction Property of Equality

Transformation by Substitution

Transformation by Addition

Substitute an equivalent expression for any expression in a gi…

Add the same real number to each side of a given equation.

Addition Property of Equality

Subtraction Property of Equality

commutative property

associative property

distributive property

identity property

Order of values does matter! also multiplication

Grouping of values does matter! also multiplication

Multiplying a value to an expression inside ( ), [ ], { },

Stays the same! also adding

commutative property

Order of values does matter! also multiplication

associative property

Grouping of values does matter! also multiplication

Commutative Property

Associative Property

Distributive Property

Multiplicative Property of Zero

When adding or multiplying order doesn't matter... a+b=b+a a

**b=b**aWhen adding or multiplying you can rearrange the parentheses.…

Multiply a single term and two or more terms inside a set of p…

Anything multiplied by zero equals zero.... x*0=0

Commutative Property

When adding or multiplying order doesn't matter... a+b=b+a a

**b=b**aAssociative Property

When adding or multiplying you can rearrange the parentheses.…

Answer: The Distributive Property

Answer: Inverse property of multiplicat…

Answer: Associative property of additio…

Answer: Identity property of multiplica…

Question: What property is shown?

Question: What property is shown?

Question: What property is shown?

Question: What property is shown?

Answer: The Distributive Property

Question: What property is shown?

Answer: Inverse property of multiplicat…

Question: What property is shown?

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

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

(ab)c=a(bc)

a+b=b+a

ab=ba

Associative Property of Addition

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

Associative Property of Multiplication

(ab)c=a(bc)

Distributive Property

Addition Property of Equality

Commutative Property

Subtraction Property of Equality

What is this property?

Do you know this property?

How about this property?

Can you name this one?

Distributive Property

What is this property?

Addition Property of Equality

Do you know this property?

factor

factor set

prime number or prime

prime factorization

A number being multiplied to form a product.

The name given to the set over which a number is factored.

An integer greater than 1 that has no positive integral factor…

Expressing a positive integer as a product of primes.

factor

A number being multiplied to form a product.

factor set

The name given to the set over which a number is factored.

Commutative Property Addition

Commutative Property Multiplication

Associative Property Addition

Associative Property Multiplication

C stands for change O is for order

C stands for Change O is for order

Change Parenthesis

Change Parenthesis

Commutative Property Addition

C stands for change O is for order

Commutative Property Multiplication

C stands for Change O is for order

Addition Property of Equality

Subtraction Property of Equality

Transformation by Substitution

Transformation by Addition

Substitute an equivalent expression for any expression in a gi…

Add the same real number to each side of a given equation.

Addition Property of Equality

Subtraction Property of Equality

Additive Identity

Multiplicative Identity

Distributive Property

Commutative Property (Addition)

A number plus zero is always itself. n+0=n... 6+0 = 6

A number times one is always equal to itself. nx1=n... 3 x 1 = 3

A number is distributed to others. a(b+c)=ab+ac... 3(x+5) = 3x +…

Numbers "commute." Order changes. a+b=b+a... ((The first 2 letter…

Additive Identity

A number plus zero is always itself. n+0=n... 6+0 = 6

Multiplicative Identity

A number times one is always equal to itself. nx1=n... 3 x 1 = 3

Commutative Property (definition)

Commutative Property of Addition (algeb…

Commutative Property of Multiplication…

Associative Property (definition)

The order of values does not matter.

a + b = b + a

ab = ba

The grouping of values does not matter.

Commutative Property (definition)

The order of values does not matter.

Commutative Property of Addition (algeb…

a + b = b + a

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

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

(ab)c = a(bc)

a + b = b + a

ab = ba

Associative Property of Addition

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

Associative Property of Multiplication

(ab)c = a(bc)

Symmetric

Transitive property

Addition property of equality

Multiplication property of equality

Shows that numbers and variables can be moved around the equal…

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

If you add the same numbers to each side of an equation, both…

If you multiply the same numbers to each side of an equation,…

Symmetric

Shows that numbers and variables can be moved around the equal…

Transitive property

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

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

Any quantity is equal to itself

If one quantity equals a second quantity, then the second quan…

If one quantity equals a second quantity and the second quanti…

A quantity may be substituted for its equal in any expression.

Reflexive Property

Any quantity is equal to itself

Symmetric Property

If one quantity equals a second quantity, then the second quan…

rational numbers

irrational numbers

Commutative Property of Addition

Commutative Property of Multiplication

can be expressed as a fraction

cannot be expressed as a fraction

5 ( 2 + y ) = 5 ( y + 2 )

5 (2 + y ) = ( 2 + y ) 5

rational numbers

can be expressed as a fraction

irrational numbers

cannot be expressed as a fraction

commutative property

associative property

distributive property

identity property

Order of values does matter! also multiplication

Grouping of values does matter! also multiplication

Multiplying a value to an expression inside ( ), [ ], { },

Stays the same! also adding

commutative property

Order of values does matter! also multiplication

associative property

Grouping of values does matter! also multiplication

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 x c = b x c

If a = b, then a/c = b/c

Addition Property of Equality

If a = b, then a + c = b + c

Subtraction Property of Equality

If a = b, then a -c = b - c

Reflexive Property of Equality

Symmetric Property of Equality

Substitution Property of Equality

Transitive Property of Equality

a = a

If a = b, then b = a

If a = b, then either a or b may be used for the other in any…

If a = b and b = c, then a = c

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b, then b = a

Additive Identity... (Identity Property of…

Multiplicative Identity... (Identity Prope…

Distributive Property

Commutative Property of Addition

A number plus zero is always itself. ... n+0=n... 6+0 = 6

A number times one is always equal to itself. ... nx1=n... 3 x 1 = 3

A number is distributed to others. ... a(b+c)=ab+ac... 3(x+5) = 3x +…

"CO" - Change Order ... a+b=b+a... 3 + a = a + 3

Additive Identity... (Identity Property of…

A number plus zero is always itself. ... n+0=n... 6+0 = 6

Multiplicative Identity... (Identity Prope…

A number times one is always equal to itself. ... nx1=n... 3 x 1 = 3