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Study sets matching "algebra properties math"

12 terms
Math Properties and Algebra
Commutative Property
Associative Property
Distributive Property
Identity Property
Says that the ORDER in an addition or multiplication problem…
Says that the GROUPING in an addition or multiplication probl…
Multiplying a number by a group of numbers added together is…
Any number multiplied by 1 will equal itself.
Commutative Property
Says that the ORDER in an addition or multiplication problem…
Associative Property
Says that the GROUPING in an addition or multiplication probl…
14 terms
Algebra 1 Math Properties
18 + 35 + 2 = 18 + 2 + 35
5 × 43 × 20 = 5 × 20 × 43
13 + (7 + 25) = (13 + 7) + 25
5 × (20 × 13) = (5 × 20) × 13
CA commutative property of addition
CM commutative property of multiplication
AA associative property of addition
AM associative property of multiplication
18 + 35 + 2 = 18 + 2 + 35
CA commutative property of addition
5 × 43 × 20 = 5 × 20 × 43
CM commutative property of multiplication
14 terms
Algebra 1 Math Properties
18 + 35 + 2 = 18 + 2 + 35
5 × 43 × 20 = 5 × 20 × 43
13 + (7 + 25) = (13 + 7) + 25
5 × (20 × 13) = (5 × 20) × 13
commutative property of addition
commutative property of multiplication
associative property of addition
associative property of multiplication
18 + 35 + 2 = 18 + 2 + 35
commutative property of addition
5 × 43 × 20 = 5 × 20 × 43
commutative property of multiplication
29 terms
Math Properties, Algebra SOL
commutative (property of addition)
commutative (property of multiplication)
associative (property of addition)
associative (property of multiplication)
a + b = b + a
a × b = b × a
(a + b) + c= a + (b + c)
(a × b) × c = a × (b × c)
commutative (property of addition)
a + b = b + a
commutative (property of multiplication)
a × b = b × a
14 terms
Algebra 1 Math Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
4+2 = 2+4 ... 6=6... The order that the numbers are added does not…
2 X 3 = 3 X 2... 6 = 6... The order that the numbers are multiplied…
(5+8) + 2 = 5 + (8+2) ... 13+2 = 5+ 10... 15 = 15... The way in which…
(4 X 6) X 3 = 4 X (6 X 3)... 24 X 3 = 4 X 18... 72 = 72... The way in…
Commutative Property of Addition
4+2 = 2+4 ... 6=6... The order that the numbers are added does not…
Commutative Property of Multiplication
2 X 3 = 3 X 2... 6 = 6... The order that the numbers are multiplied…
13 terms
Algebra Math Properties
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
A quantity is congruent (equal) to itself. 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 b in any equation or ex…
Reflexive Property
A quantity is congruent (equal) to itself. a = a
Symmetric Property
if a=b, then b=a
Properties of Algebra: Math
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
14 terms
Algebra 1 Math Properties
Commutative Property
Associative Property
Identity Property
Inverse Property
The order in which you add two numbers does not change the su…
The way you group three numbers in a sum does not change the…
The sum of a number and 0 is the number ex: a+0=a
The sum of a number and its opposite is 0. ex: a+(-a)= 0
Commutative Property
The order in which you add two numbers does not change the su…
Associative Property
The way you group three numbers in a sum does not change the…
13 terms
Math Algebra and Properties Vocab
Coefficient
Base
Evaluate
Numerical Expression
A number that is multiplied by a variable.
A number used as a repeated factor.
To find the value of a numerical or algebraic expression.
A mathematical phrase that uses only numbers and operation si…
Coefficient
A number that is multiplied by a variable.
Base
A number used as a repeated factor.
10 terms
Math Algebra Properties
Commutative
Associative
Distributive
Multiplicative property of zero
Changing the order of the problem
Changing order of parenthesis
5(9+8)= 59 + 58
Multiply by zero
Commutative
Changing the order of the problem
Associative
Changing order of parenthesis
8 terms
Algebra Review Properties of Math
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
changing the grouping of terms will not change the sum, (a +…
changing the grouping of factors will not change the product,…
In a sum, you can add terms in any order, a + b = b + a
Changing the order of the factors does not change the product…
Associative Property of Addition
changing the grouping of terms will not change the sum, (a +…
Associative Property of Multiplication
changing the grouping of factors will not change the product,…
17 terms
math properties for algebra 2
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
11 terms
Algebra Math Properties
Reflexive
Symmetrical
Transitive
Substitution (simplifying)
3a=3a; a+b=a+b
If 3+2=5 then 5=3+2
If 2+5=7 and 3+4=7 then 2+5=3+4
2x+8x=10x
Reflexive
3a=3a; a+b=a+b
Symmetrical
If 3+2=5 then 5=3+2
13 terms
Algebra Math Properties
Reflective Property
Symmetric Property of Equality
Substitution Property
Transitive Property
Reflects Itself. EX: 4 = 4
Lets the left side move to the right and the right side to th…
Equal values can be substituted for each other. EX: If X = Y…
If A = B, and B = C then A = C.
Reflective Property
Reflects Itself. EX: 4 = 4
Symmetric Property of Equality
Lets the left side move to the right and the right side to th…
8 terms
Algebraic Properties - Math 6
Additive Identity
Additive Inverse
Multiplicative Identity
Multiplicative Property of 0
Any amount plus zero is itself.... Ex: a + 0 = a.
Any number plus it's opposite is zero.... Ex: a + (-a) = 0
Any amount multiplied by one is itself.... Ex: a * 1 = a
Any number multiplied by zero is zero.... ... Ex: a * 0 = 0
Additive Identity
Any amount plus zero is itself.... Ex: a + 0 = a.
Additive Inverse
Any number plus it's opposite is zero.... Ex: a + (-a) = 0
26 terms
Math Properties Algebra 1
4+(9+6)= (4+9)+6
x+12=12+x
(3+y) +0=3+y
(x+y)+z=x+(y+z)
Associative property of addition
communative Property of addition
Indentity property of addition
associative property of addition
4+(9+6)= (4+9)+6
Associative property of addition
x+12=12+x
communative Property of addition
11 terms
math algebra properties
distributive property
associative property of multiplication
associative property of addition
comm. prop. of add.
distribution of a number into other numbers in parenthasis
changing the GROUPING of factors does not change the product
changing the GROUPING of addends does not change the sum
changing the Order of addends does not change the sum.
distributive property
distribution of a number into other numbers in parenthasis
associative property of multiplication
changing the GROUPING of factors does not change the product
8 terms
Math Properties of Algebra
Reflexive
Symmetric
Transitive
Addition
a=a
If a = b, then b = a.
If a = b and b = c, then a = c.
If a=b and c=d, then a + c = b + d.
Reflexive
a=a
Symmetric
If a = b, then b = a.
9 terms
Math properties of algebra
Addition property
Subtraction property
Multiplication property
Division property
a+c=b+c
a-c=b-c
a✖️c=b✖️c
a/c=b/c
Addition property
a+c=b+c
Subtraction property
a-c=b-c
21 terms
Math Properties Algebra 1
Closure Property
Commutative Property of Addition
Associative Property of Addition
Distributive Property
a + b = unique real number ex. 4 + 6 = 10
a + b = b + a ex. 4 + 6 = 6 + 4
a + (b + c) = (a + b) + c ex. 4 + (6 + 2) = (4 + 6) + 2
a(b + c) = ab + ac ex. 4(6 + 2) = 4(6) + 4(2)
Closure Property
a + b = unique real number ex. 4 + 6 = 10
Commutative Property of Addition
a + b = b + a ex. 4 + 6 = 6 + 4
10 terms
Math Properties Algebra 1
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
Algebra math properties
Additive Property of equality
Multiplicative Property of equality
Identity property
Distributive Property
add or subtract the same quantity from both sides and retain…
multiply or divide by the same quantity on both sides and ret…
for any number a, a + 0 = 0 + a = a and a x 1 = 1 x a =a
for any numbers a, b, and c, a(b + c) = ab + ac and a(b - c)…
Additive Property of equality
add or subtract the same quantity from both sides and retain…
Multiplicative Property of equality
multiply or divide by the same quantity on both sides and ret…
10 terms
Math Properties for Algebra
Properties
Commutative of Addition
Commutative of Multiplication
Associative Property of Addition
statements that are true for ANY numbers
the order in which numbers are ADDED does NOT change the sum…
the order in which numbers are MULTIPLIED does NOT change the…
the way in which numbers are grouped when ADDED does NOT chan…
Properties
statements that are true for ANY numbers
Commutative of Addition
the order in which numbers are ADDED does NOT change the sum…
8 terms
Math properties algebra
Commutative property
Associative
Distributive property
Additive inverse property
The order of the number does not affect the sum or the product
The way the numbers are paired does not affect the sum or the…
Multiplication can be distributed over addition or subtraction
The sum of a number and it's additive inverse(also called its…
Commutative property
The order of the number does not affect the sum or the product
Associative
The way the numbers are paired does not affect the sum or the…
8 terms
Algebra 1 Math Properties
Identity Property of addition
Inverse Property of addition
Commutative Property
Associative Property
The sum of a number and 0 is the number ex: a+0=a
The sum of a number and its opposite is 0. ex: a+(-a)= 0
the order in which you add/multiply two numbers does not chan…
the way you group three numbers together does not change the…
Identity Property of addition
The sum of a number and 0 is the number ex: a+0=a
Inverse Property of addition
The sum of a number and its opposite is 0. ex: a+(-a)= 0
15 terms
Math Properties--Algebra 1
Reflexive Property
Symmetric Property
Transitive Property
Commutative Property of Addition
For any number a, a=a... Ex: 5=5; 4+7=4+7
For any numbers a and b, if a=b, then b=a... Ex: If 8=2+6 then 2…
For any numbers a,b, and c, if a=b and b=c, then a=c... Ex: If 6…
For any numbers a and b, a+b=b+a... Ex: 4+8+8+4
Reflexive Property
For any number a, a=a... Ex: 5=5; 4+7=4+7
Symmetric Property
For any numbers a and b, if a=b, then b=a... Ex: If 8=2+6 then 2…
20 terms
Math Algebra/Properties Review
What does PEMDAS mean?
Algebraic Expression
Substitution
The commutative Property (for addition…
P- please,... E- excuse,... M- my,... D-dear,... A-aunt,... S-sally.
Contains at least one variable and at least one operation.
Replacing a variable with a given number to evaluate (solve)…
to "move it move it"... Ex: a+b=b+a
What does PEMDAS mean?
P- please,... E- excuse,... M- my,... D-dear,... A-aunt,... S-sally.
Algebraic Expression
Contains at least one variable and at least one operation.
MATH PROPERTIES ALGEBRA 1
Commutative property
Associative property
Commutative property
Additive inverse property
a+b=b+a
(a+b)+c=a+(b+c)
a•b=b•a
a+(-b)=0
Commutative property
a+b=b+a
Associative property
(a+b)+c=a+(b+c)
11 terms
Math Algebra 1A Properties
reflexive property
semetric property
transitive property
substitution property
when 1 number equals itself
if a = b then b = a
if a = b + c then b + c = a
if a = b then sun in b for a
reflexive property
when 1 number equals itself
semetric property
if a = b then b = a
10 terms
math properties algebra 1
Commutative Property
Associative Property
Distributive Property
Additive Property Of Equality
The word "commutative" comes from "commute" or "move around",…
The associative property states that you can add or multiply…
"multiplication distributes over addition"
The property that states that if you add the same number to b…
Commutative Property
The word "commutative" comes from "commute" or "move around",…
Associative Property
The associative property states that you can add or multiply…
13 terms
Pre-Algebra Math Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
a + b = b + a
a x b = b x a
(a + b) + c = a + (b + c)
(a x b) x c = a x (b x c)
Commutative Property of Addition
a + b = b + a
Commutative Property of Multiplication
a x b = b x a
10 terms
Math Properties-Algebra 1
Multiplicative Identity
Multiplicative Property of Zero
Multiplicative Inverse
Reflexive
For any number (a), the product of a and 1 is a... Ex: a1=a 12
For any number (a), the product of a and 0 is 0.... Ex: a0=0 0
For every number a/b, where a, b is not equal to 0, there is…
Any quantity is equal to itself... Ex: a=a 7=7 2+3=2+3
Multiplicative Identity
For any number (a), the product of a and 1 is a... Ex: a1=a 12
Multiplicative Property of Zero
For any number (a), the product of a and 0 is 0.... Ex: a0=0 0
11 terms
Math Properties- Algebra 1
Commutative Property
Associative Property
Distributive Property
Additive Identity
The order in which you add or multiply numbers does not chang…
The way you group three or more numbers when adding or multip…
To distribute the number outside of the parentheses into each…
For any number a, the sum of a and 0 is a. ex: a + 0 = 0 + a…
Commutative Property
The order in which you add or multiply numbers does not chang…
Associative Property
The way you group three or more numbers when adding or multip…
12 terms
Math algebra properties
Equivalent expressions
reflexive property
symmetric property
transitive property
Expression equals the same problem
something that is equal to itself. A=A
You can flip it around. A=B, B=A
Shoot right through. A=B, B=C, A=C
Equivalent expressions
Expression equals the same problem
reflexive property
something that is equal to itself. A=A
16 terms
Algebra Math Properties
Additive Identity
Reflexive Property
Multiplicative Identity
Multiplicative Property of Zero
a + 0 = a
a = a
a x 1 = a
a x 0 = 0
Additive Identity
a + 0 = a
Reflexive Property
a = a
21 terms
Properties of Algebra (MATH)
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Substitution
a=a
a=b then b=a (like commutative)
a=b and b=c, then a=c
if a=b, then a can be substituted for b at any time
Reflexive Property of Equality
a=a
Symmetric Property of Equality
a=b then b=a (like commutative)
22 terms
Honors Algebra Math Properties
a+b is a member of natural numbers
a+b=b+a
(a+b)+c=a+(b+c)
ab=ba
Closure Property
Commutative Property of Addition
Associative Property of Addition
Commutative Property of Multiplication
a+b is a member of natural numbers
Closure Property
a+b=b+a
Commutative Property of Addition
12 terms
Algebra 1 Math Properties
Additive Identity
Multiplicative Identity
Multiplicative Property of Zero (mpz)
Multiplicative Inverse (reciprocal)
x+0= x
x*1=x
x*0=0
a/b * b/a= 1
Additive Identity
x+0= x
Multiplicative Identity
x*1=x
13 terms
properties of algebra math
division property of equality
additive identity property
multiplicative inverses
associative property of multiplication
if a=b and c=/0, then a/c=b/c
a+0=0+a=a
a x 1/a=1/a x a = 1
(a x b) x c=a x (b x c)
division property of equality
if a=b and c=/0, then a/c=b/c
additive identity property
a+0=0+a=a
29 terms
Math Properties, Algebra SOL
commutative (property of addition)
commutative (property of multiplication)
associative (property of addition)
associative (property of multiplication)
a + b = b + a
a × b = b × a
(a + b) + c= a + (b + c)
(a × b) × c = a × (b × c)
commutative (property of addition)
a + b = b + a
commutative (property of multiplication)
a × b = b × a
10 terms
Properties (math) (Algebra 2)
natural numbers
whole numbers
integers
rational numbers
1,2,3,4,5,6...
0,1,2,3,4,5...
...-3,-2,-1,0,1,2,3..
-3/4
natural numbers
1,2,3,4,5,6...
whole numbers
0,1,2,3,4,5...
17 terms
math properties for algebra 2
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
15 terms
Properties of Math (Algebra 1)
Closure
Associative (Grouping)
Commutative (Ordering)
Identity
When two real numbers are added or multiplied, the result wil…
Numbers may be grouped differently without affecting the fina…
The numbers on each side of an operation sign may be commuted…
Find a number that will produce an identical answer to the or…
Closure
When two real numbers are added or multiplied, the result wil…
Associative (Grouping)
Numbers may be grouped differently without affecting the fina…
25 terms
Math test properties and algebra
Commutative property (addition and mul…
Associative property of addition and m…
Distributive property
Identity property of addition
You can move the terms in an additionj problem and still get…
You can move, put in or take out parenthesis in an addition p…
If you have multiplication on the outside of parentheses you…
Addition- anything added to zero is the same thing
Commutative property (addition and mul…
You can move the terms in an additionj problem and still get…
Associative property of addition and m…
You can move, put in or take out parenthesis in an addition p…
12 terms
Math Algebraic properties
Definition of subtraction
Definition of division
Commutative property of addition
Commutative property of multiplication
A - b = a + (-b)
A/b = a • 1/b
A + b = b + a
Ab = ba
Definition of subtraction
A - b = a + (-b)
Definition of division
A/b = a • 1/b
32 terms
Math Algebraic Proof 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 x=-4, the x+4=-4+4
-If a=b, then a-c=b-c... -If r+1=7, then r+1-1=7-1
-If a=b, then ac=bc... -If k/2=8, then k/2(2)=8(2)
-If a=b, c≠0, then a/c=b/c... -If 6=3t, then 6/3=3t/3
Addition Property of Equality
-If a=b, then a+c=b+c... -if x=-4, the x+4=-4+4
Subtraction Property of Equality
-If a=b, then a-c=b-c... -If r+1=7, then r+1-1=7-1
12 terms
Math algebraic properties
Definition of subtraction
Definition of division
Commutative axiom of addition
Commutative axiom of multiplication
a - b = a + (-b)
b does not =0 so a/b= a x 1/b
a+b=b+a
a x b=b x a
Definition of subtraction
a - b = a + (-b)
Definition of division
b does not =0 so a/b= a x 1/b
Math Properties (algebraic expressions)
Commutative Property of Multiplication
Associative Prperty of Multiplication
Identity Property of Multiplication
Property of Zero
a(b) = b(a)
(a x b) x c = a x (b x c)
a x 1 = 1 x a= a
a x 0 = 0
Commutative Property of Multiplication
a(b) = b(a)
Associative Prperty of Multiplication
(a x b) x c = a x (b x c)
12 terms
Math Algebraic Properties
Addition prop. of equality
Multiplication prop. of equality
Additive inverse prop.
Multiplicative inverse prop.
If a=b, then a+d = b+d
If a=b, then d•a = d•b
a + (-a) = 0
If a does not equal 0, then 1/a • a = 1
Addition prop. of equality
If a=b, then a+d = b+d
Multiplication prop. of equality
If a=b, then d•a = d•b
13 terms
MATH ALGEBRAIC PROPERTIES
reflexive property
symmetric property
Transitive property
substitution property
5=5
if 2+6=8 then 8=2+6
if 6+9=13+2 then 3+12=15 then 6+9=15
if n=11 then 4n=4x11
reflexive property
5=5
symmetric property
if 2+6=8 then 8=2+6
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