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Study sets matching "algebra properties"

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Study sets matching "algebra properties"

13 terms
Algebra Properties
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
10 terms
Algebra Properties
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 lette…
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
12 terms
Algebra Properties
Commutative Property of Addition
Reflexive Property
Symmetric Property
Commutative Property of Multiplication
a+b=b+a... 3+7=7+3
a=a... 9=9
If a=b then b=a... If x=9 then 9=x
a x b=b x a... 3 x 7=7 x 3
Commutative Property of Addition
a+b=b+a... 3+7=7+3
Reflexive Property
a=a... 9=9
9 terms
Properties of Algebra
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
8 terms
Algebra Properties
Commutative Property
Associative Property
Distributive Property
Multiplicative Property of Zero
When adding or multiplying order doesn't matter... a+b=b+a ab=ba
When adding or multiplying you can rearrange the parentheses.…
Multiply a single term and two or more terms inside a set of…
Anything multiplied by zero equals zero.... x*0=0
Commutative Property
When adding or multiplying order doesn't matter... a+b=b+a ab=ba
Associative Property
When adding or multiplying you can rearrange the parentheses.…
23 terms
Properties of Algebra
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)
15 terms
Algebraic Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
10 terms
Algebra Properties
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Inverse Property of Multiplication
Reflexive Property of Equality
Symmetric Property of Equality
36 terms
Algebra properties
Additive identity
Additive inverse
Multiplicative identity
Multiplicative property of 0
For any number a, a+0=a
For any number a, a+ (-a)=0
For any number a, a•1=a
For any number a, a•0=0
Additive identity
For any number a, a+0=a
Additive inverse
For any number a, a+ (-a)=0
9 terms
Properties of Algebra
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
17 terms
Algebraic Properties of Equality, Algebraic Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
12 terms
Algebra Properties
Identity Property for Addition
Identity Property for Multiplication
Substitution Property
Distributive Property
A number plus zero is always itself. n+0=n
A number times one is always equal to itself. n×1=n
If a=b, then a may be replaced by b in any expression. If x=5…
a(b+c)=ab+ac
Identity Property for Addition
A number plus zero is always itself. n+0=n
Identity Property for Multiplication
A number times one is always equal to itself. n×1=n
18 terms
Properties of Algebra & Properties of Equality
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication…
a+b = b+a
ab = ba
(a+b)+c = a+(b+c)
(ab)c = a(bc)
Commutative Property of Addition
a+b = b+a
Commutative Property of Multiplication
ab = ba
5 terms
Algebraic Properties
Commutative property
Associative property
Distributive Property
Additive identity
Order does not matter when you add or multiply
When 3 or more numbers are added or multiplied, you may start…
a(b+c) = ab + ac
0 plus any number = that number
Commutative property
Order does not matter when you add or multiply
Associative property
When 3 or more numbers are added or multiplied, you may start…
19 terms
Algebra Properties
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 substituted for the other…
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
12 terms
Algebra Properties
commutative property
associative property
distributive property
identity property
A property where we "swap" the numbers. There are NO parenthe…
A property where the grouping of numbers doesn't matter. Ther…
A property where you using sharing or spreading out on each s…
A number multiplied by itself is always itself.
commutative property
A property where we "swap" the numbers. There are NO parenthe…
associative property
A property where the grouping of numbers doesn't matter. Ther…
16 terms
Algebra Properties
Additive Inverse Definition
Additive Identity Element
Addictive Identity Property
Additive inverse Property
Opposite
0
X + 0 = x
Any number X plus its negative is 0
Additive Inverse Definition
Opposite
Additive Identity Element
0
14 terms
Algebra Properties
Additive Identity
Multiplicative Identity
Multiplicative Property of 0
Multiplicative Inverse Property/Recipr…
a + 0 = a (3 + 0 = 3)
a * 1 = a (3 * 1 = 3)
a * 0 = 0 (3 * 0 = 0)
a/b * b/a = 1 (3/5 * 5/3 = 1)
Additive Identity
a + 0 = a (3 + 0 = 3)
Multiplicative Identity
a * 1 = a (3 * 1 = 3)
21 terms
Algebra Properties
a=a
if a=b, then b=a
if a=b and b=c, then a=c
if a=b, then a can be substituted for…
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Substitution
a=a
Reflexive Property of Equality
if a=b, then b=a
Symmetric Property of Equality
15 terms
Algebraic Properties
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
8 terms
Algebra Properties
Reflexive Property
Symmetric Property
Transitive Property
Commutative Property
Any quantity is equal to itself. Ex. a=a, 2=2, x=x
If a first quantity is equal to a second quantity, then the s…
If a first quantity is equal to a second quantity, and the se…
When you are adding or multiplying, the order of the terms ma…
Reflexive Property
Any quantity is equal to itself. Ex. a=a, 2=2, x=x
Symmetric Property
If a first quantity is equal to a second quantity, then the s…
9 terms
Properties of Algebra
Commutative Property
Associative Property
Identity Property
Inverse Property
a + b = b + a
Commutative Property
a + b = b + a
Associative Property
12 terms
Algebraic Properties of Equality, Algebraic Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Commutative of Addition
a+b = b+a
Addition Property of Equality
Subtraction Property of Equality
15 terms
Algebra Properties
Additive Identity... (Identity Property o…
Multiplicative Identity... (Identity Prop…
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 o…
A number plus zero is always itself. ... n+0=n... 6+0 = 6
Multiplicative Identity... (Identity Prop…
A number times one is always equal to itself. ... nx1=n... 3 x 1 = 3
10 terms
Algebra Properties
(3+4)+5=3+(4+5)
5 • 2 = 2 •5
5(x+4)=5x+20
3 • (4 • 5)=(3 • 4) • 5
Associative
Commutative
Distributive
Associative
(3+4)+5=3+(4+5)
Associative
5 • 2 = 2 •5
Commutative
15 terms
algebra properties
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
50 terms
Algebra Properties
3a + b = b + 3a
4xy + 0 = 4xy
5ab = 5ab
4(3x - 8) = 12x - 32
Commutative of Addition Property
Additive Identity Property
Reflexive Property of Equality
Distributive Property
3a + b = b + 3a
Commutative of Addition Property
4xy + 0 = 4xy
Additive Identity Property
Properties of Algebra
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)+c=(b+a)+c
ab=ba
Associative Property of Addition
(a+b)+c=a+(b+c)
Associative Property of Multiplication
(ab)c=a(bc)
10 terms
Algebra Properties
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
14 terms
Algebra Properties
Commutative Property for Addition
Commutative Property for Multiplication
Associative Property of Addition
Associative Property of Multiplication
a + b = b + a
ab = ba
(a + b) + c = a + (b + c)
(ab)c = a(bc)
Commutative Property for Addition
a + b = b + a
Commutative Property for Multiplication
ab = ba
13 terms
Properties Pre-Algebra
Identity Property of Addition
Associative Property of Addition
Commutative Property of Addition
Distributive Property
Identity Property of Addition
Associative Property of Addition
8 terms
Properties of Algebra
Identity Property of Addition
Associative Property of Addition
Commutative Property of Addition
Identity Property of Multiplication
Identity Property of Addition
Associative Property of Addition
12 terms
Algebra Properties
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
a+b=b+a... (x+y) + z = z + (x+y)... (change order of terms)
ab=ba... (xy) z = z (xy)... change order of terms
(a+b) + c = a + (b+c)... change grouping of terms
(ab) c = a (bc)... change grouping of terms
Commutative property of addition
a+b=b+a... (x+y) + z = z + (x+y)... (change order of terms)
Commutative property of multiplication
ab=ba... (xy) z = z (xy)... change order of terms
36 terms
Algebra Properties and Basic Terms
Additive identity
Additive inverse
Multiplicative identity
Multiplicative property of 0
For any number a, a+0=a
For any number a, a+ (-a)=0
For any number a, a•1=a
For any number a, a•0=0
Additive identity
For any number a, a+0=a
Additive inverse
For any number a, a+ (-a)=0
26 terms
Properties of Algebra
Commutative of Addition
Commutative of Addition
Commutative of Addition
Commutative of Addition
6+8=8+6
-12+20+13=-12+13+20
9(a+b)=9(b+a)
12+(6∙8)=(6∙8)+12
Commutative of Addition
6+8=8+6
Commutative of Addition
-12+20+13=-12+13+20
10 terms
Properties of Algebra
Commutative Property of Addition
Associative Property of Addition
Inverse Property of Addition
Inverse Property of Multiplication
a + b = b + a
(a+b) + c = a + (b+c)
a + (-a) = 0
a * 1/a = 1, (if a is not 0)
Commutative Property of Addition
a + b = b + a
Associative Property of Addition
(a+b) + c = a + (b+c)
12 terms
Algebra Properties
Commutative Property for Addition... (cha…
Commutative Property for Multiplicatio…
Associative Property for Addition... (cha…
Associative Property for Multiplicatio…
Ex: 5 + 6 = 6 + 5... 3 + 4 + 5 = 4 + 3 + 5... a + b = b + a
Ex: 5(6) = 6(5)... 3(5)(6) = 3(6)(5)... ab = ba
Ex: (2 + 3) + 4 = 2 + (3 + 4) ... 5 + (9 + 3) = (5 + 9) + 3…
Ex: (2 x 3) x 4 = 2 x (3 x 4)... 5 x ( 2 x 4) = (5 x 2) x 4…
Commutative Property for Addition... (cha…
Ex: 5 + 6 = 6 + 5... 3 + 4 + 5 = 4 + 3 + 5... a + b = b + a
Commutative Property for Multiplicatio…
Ex: 5(6) = 6(5)... 3(5)(6) = 3(6)(5)... ab = ba
17 terms
Algebra Properties
Additive Identity
Symmetric Property
Reflexive property
Multiplicative Property of Zero
x+0=x
x+3=y, y=x+3
x=x
X x 0=0
Additive Identity
x+0=x
Symmetric Property
x+3=y, y=x+3
17 terms
Properties of Algebra
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
19 terms
Properties of Algebra
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property
Distributive Property
Change order of the numbers you are adding
Change order of the numbers you are multiplying
Numbers stay in same order, but the parenthesis regroup
The number outside the parenthesis double shares with the num…
Commutative Property of Addition
Change order of the numbers you are adding
Commutative Property of Multiplication
Change order of the numbers you are multiplying
Properties for Algebra
Distributive Property
Multiplicative Inverse (or inverse of…
Additive Inverse (or inverse of additi…
Commutative
21x+7y = 7 (3x+y)
g + (-g) = 0
8g + 9+ g = 9 + 8g + g
Distributive Property
21x+7y = 7 (3x+y)
Multiplicative Inverse (or inverse of…
9 terms
Properties of Algebra
Commutative Property Addition
Commutative Property Multiplication
Associative Property Addition
Associative Property Multiplication
The order in which you add numbers does not change the result.
The order in which you multiply numbers does not change the r…
When using ONLY addition, changing parentheses will not chang…
When using ONLY multiplication, changing parentheses will not…
Commutative Property Addition
The order in which you add numbers does not change the result.
Commutative Property Multiplication
The order in which you multiply numbers does not change the r…
24 terms
properties for algebra
reflexive poe
symmetric poe
transitive poe
addition poe
a=a
if a=b then b=a
if a=b and b=c then a=c
if a=b then a+c=b+c
reflexive poe
a=a
symmetric poe
if a=b then b=a
7 terms
Algebra Exponent Properties
Product of a Power
Power of a Power
Power of a Product
Negative Exponent
Product of a Power
Power of a Power
12 terms
Pre - Algebra/Algebra Properties
Additive Identity
Additive Inverse
Multiplicative Identity
Multiplicative Property of 0
For any number a, a + 0 = a.
For any number a, a + (-a) = 0
For any number a, a * 1 = a
For any number a, a * 0 = 0
Additive Identity
For any number a, a + 0 = a.
Additive Inverse
For any number a, a + (-a) = 0
13 terms
Algebraic Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
17 terms
Algebraic Properties of Equality, Algebraic Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
17 terms
Algebraic Properties of Equality, Algebraic Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
13 terms
Algebraic Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
9 terms
Algebraic Properties
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
add the same number to both sides of the equations
subtract the same number from both sides of the equation
multiply the same number to both sides of the equation
divide the same number from both sides of the equation
addition property of equality
add the same number to both sides of the equations
subtraction property of equality
subtract the same number from both sides of the equation
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