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Study sets matching "alg2 1 properties"

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Study sets matching "alg2 1 properties"

10 terms
ALG 2: Ch1 Properties
Communative
Associative
Identity
Inverse
a+b = b+a, a(b) = b(a)
(a+b)+c = a+(b+c), (aXb)c = a(bXc)
a+0 = a = 0+a, 1a = a = a(1)
a+(-a) = 0 = (-a)+a, a(1/a) = 1 = (1/a)a
Communative
a+b = b+a, a(b) = b(a)
Associative
(a+b)+c = a+(b+c), (aXb)c = a(bXc)
10 terms
CcAlg1/2 Properties
a + b = b + a
a b = b a
(a+b) +c= a + (b+c)
A (b c) =
Commutative prop of addition
Commutative prop of mult
Associative
Distributive
a + b = b + a
Commutative prop of addition
a b = b a
Commutative prop of mult
10 terms
Alg 1 Properties
a + 0 = a, 0 + a = a
a1 = a, 1a = a
a0 = 0, 0a = 0
a/b * b/a = 1
Additive Identity Property
Multiplicative Identity Property
Multiplicative Property of Zero
Multiplicative Inverse Property
a + 0 = a, 0 + a = a
Additive Identity Property
a1 = a, 1a = a
Multiplicative Identity Property
11 terms
Alg 2/Trig Properties
Commutative
Associative
Distributive
Reflexive
"order"... Ex:... 2+3=3+2
"grouping"... Ex:... 2+(x+3)=(2+x)+3
"can't touch this"... Ex:... 5(x+2)=5x+10
"mirror" - What you see is what you get... Ex:... 5=5
Commutative
"order"... Ex:... 2+3=3+2
Associative
"grouping"... Ex:... 2+(x+3)=(2+x)+3
11 terms
Alg- 1.8 Properties
associative property of addition
associative property of multiplication
identity property of multiplication
inverse property of addition
(-7+4)+1 = -7+(4+1)
8(9x11) = (8x9)11
1x10 = 10
-0.3+0.3 = 0
associative property of addition
(-7+4)+1 = -7+(4+1)
associative property of multiplication
8(9x11) = (8x9)11
18 terms
Properties: Alg 1.
Additive inverse
Additive Identity
Multiplicative Inverse
Multiplicative Identity
+3 - 3 = 0 Add opposites get 0
X+0= X Adding 0 to a problem doesn't change the problem
1/2 (2/1) = 1 Multiplying by the reciprocal to get 1.
5(1)=5 Multiplying a # by 1 will not change the problem.
Additive inverse
+3 - 3 = 0 Add opposites get 0
Additive Identity
X+0= X Adding 0 to a problem doesn't change the problem
24 terms
(ALG1) Exponential Properties
(-2)(-2)(-2)(-2)
A x A x A
-(2 x 2 x 2 x 2)
1
(-2) ^4
A ^3
-2 ^4
a ^0 when "a" does not =0
(-2)(-2)(-2)(-2)
(-2) ^4
A x A x A
A ^3
Ch. 1 Alg. 2 Property Terms
Closure
Commutative
Associative
Identity
A+B is a real #
A + B = B + A (A) Ab=ba
(a+b)+c=a+(b+c) (AB)C=A(BC)
a+0=A a x 1/a= 1
Closure
A+B is a real #
Commutative
A + B = B + A (A) Ab=ba
11 terms
Alg II 1-2 properties of real numbers
R
I
Q
Z
real
irrationals
rationals
integers
R
real
I
irrationals
26 terms
Basic Algebraic Properties Sec 2.1 & 2.2 PreAlg
(2+1)+3=(1+2)+3
1(5)=5
0+3=3
4(5x+6)=20x+24
Commutative Property of Addition
Multiplicative Identity Property
Additive Identity Property
Distributive Property
(2+1)+3=(1+2)+3
Commutative Property of Addition
1(5)=5
Multiplicative Identity Property
18 terms
Alg2 - Quiz1 - Properties of Numbers
Identity
Identity
Inverse
Inverse
a + 0 = a
a x 1 = a
a + (-a) = 0
a x 1/a = 1
Identity
a + 0 = a
Identity
a x 1 = a
11 terms
Properties (Alg. 1 H)
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
a=a... {4=4}
if a=b then b=a... {if 8=2+6 then 2+6=8}
if a=b and b=c then a=c
if n=11 then 4n=4x11
Reflexive Property
a=a... {4=4}
Symmetric Property
if a=b then b=a... {if 8=2+6 then 2+6=8}
12 terms
Alg 1 - Properties of Numbers
Commutative property of Addition
Associative Property of Addition
Commutative property of Multiplication
Associative property of Multiplication
7 + 2x + 3 + 4x= 2x + 7 + 3 + 4x
(2x + 7) + 3 + 4x = 2x + (7 + 3) +4x
5y*7 + 6 = 5*7y + 6
5(7y) + 6 = (5*7)y + 6
Commutative property of Addition
7 + 2x + 3 + 4x= 2x + 7 + 3 + 4x
Associative Property of Addition
(2x + 7) + 3 + 4x = 2x + (7 + 3) +4x
alg 2 properties
additive identity
multiplicative identity
additive inverse
multiplicative inverse
a+0=a
a*1=a
a+ (-a)=0
2*1/2=1
additive identity
a+0=a
multiplicative identity
a*1=a
10 terms
Alg 1 Properties
Additive Identity Property
Multiplicative Identity Property
Multiplicative Property of Zero
Multiplicative Inverse Property
a + 0 = a, 0 + a = a
a1 = a, 1a = a
a0 = 0, 0a = 0
a/b * b/a = 1
Additive Identity Property
a + 0 = a, 0 + a = a
Multiplicative Identity Property
a1 = a, 1a = a
10 terms
Alg. 2 Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Changing the order of the addends does not change the sum.... a+…
Changing the order when multiplying does not affect the produ…
Changing the grouping when multiplying does not affect the pr…
Changing the grouping when multiplying does not affect the pr…
Commutative Property of Addition
Changing the order of the addends does not change the sum.... a+…
Commutative Property of Multiplication
Changing the order when multiplying does not affect the produ…
19 terms
Properties Alg 2
commutative(+)
commutative(x)
Associative(+)
associative(x)
a+b=b+a
a x b= b x a
(a+b)+c= a+(b+c)
(ab)c=a(bc)
commutative(+)
a+b=b+a
commutative(x)
a x b= b x a
12 terms
ALG2 Properties Review
Commutative (Addition)
Commutative (Multiplication)
Associative (Addition)
Associative (Multiplication)
a + b = b + a
ab = ba
(a + b) + c = a + (b + c)
(ab)c = a(bc)
Commutative (Addition)
a + b = b + a
Commutative (Multiplication)
ab = ba
11 terms
Alg. 1 Properties
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
a + b + c = c + 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 + c = c + b + a
Commutative property of multiplication
a x b = b x a
10 terms
ALG1 - properties
Commutative property of __________
Associative property of __________
Identity property of __________
Inverse property of __________
a + b = b + a
(a + b) + c = a + (b + c)
a + 0 = a
a + -a = 0
Commutative property of __________
a + b = b + a
Associative property of __________
(a + b) + c = a + (b + c)
11 terms
Properties and Classifications Alg 2
Real Numbers
Rational
Irrational
Integers
All rational and irrational numbers
Integers, fractions that consist of integers(Terminating or r…
Any radical that cannot be simplified... Any non terminating or…
Whole Numbers, their opposites and 0
Real Numbers
All rational and irrational numbers
Rational
Integers, fractions that consist of integers(Terminating or r…
18 terms
Alg 2 Properties /laws
Reflexive Property
Symmetric Property
Transitive Property
Addition Property
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 and c+a=c+b
Reflexive Property
a=a
Symmetric Property
If a=b then b=a
11 terms
Alg. 1 Properties
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
a + b + c = c + 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 + c = c + b + a
Commutative property of multiplication
a x b = b x a
13 terms
Properties of Numbers Alg.2
commutative additive
identity additive
associative additive and multiplicative
identity multiplicative
a+b=b+a
a+0=a=0+a
(a+b)+c=a+(b+c)
a x 1=a=1 x a
commutative additive
a+b=b+a
identity additive
a+0=a=0+a
8 terms
Alg 1 Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
a+b=b+a... ex: 3+2=2+3
a x b= b x a... ex: 4 x 3=3 x 4
(a+b)+c= a+(b+c)... ex: (2+3)+5= 2+(3+5)
(a x b)x c= a x(b x c)... ex: (2 x 1)x 4= 2 x (1 x 4)
Commutative Property of Addition
a+b=b+a... ex: 3+2=2+3
Commutative Property of Multiplication
a x b= b x a... ex: 4 x 3=3 x 4
alg ch1- properties
communitive prop
reflex prop
transitive prop
symm prop
a+b=b+a
a=a
if a=b and b=c then a=c
if a=b then b=a
communitive prop
a+b=b+a
reflex prop
a=a
12 terms
alg1 properties
Reflective
Symmetric
Transitive
Substitution
x=x ; 5=5
if a=b then b=a
if a=b and b=c then a=c
if x=2 then 4x=4(2)
Reflective
x=x ; 5=5
Symmetric
if a=b then b=a
15 terms
ALG 2 // Trig Properties
sec(π/2-x)
cos^2x + sin^2x
1+tan^2x
sin(-x)
cscx function
Pythagorean identity... =1
Pythagorean identity... sec^2x
-sinx
sec(π/2-x)
cscx function
cos^2x + sin^2x
Pythagorean identity... =1
15 terms
1.2 Properties of Real Numbers Vocabulary (Alg. 2)
Rational Number
Irrational Numbers
Integers
Whole Numbers
any number written as a ratio; if it is a decimal, it stops o…
Roots that are not perfect; if it is a decimal, it continues
Positive and negative non-decimal numbers and zero
Positive non-decimal numbers and zero
Rational Number
any number written as a ratio; if it is a decimal, it stops o…
Irrational Numbers
Roots that are not perfect; if it is a decimal, it continues
10 terms
2.6-2.8 Properties Alg. 1 Honors
Identity Property of Multiplication
Multiplicative Property of Zero
Multiplicative Property of -1
Property of Opposites in Products
a1 = a and 1a = a
a0 = 0 and 0a = 0
a(-1) = -a and (-1)a = -a
...
Identity Property of Multiplication
a1 = a and 1a = a
Multiplicative Property of Zero
a0 = 0 and 0a = 0
37 terms
Chapter 1 - Properties of Matter ALG
Matter
Volume
Menisus
Mass
anything that has volume or mass
The amount of space taken up, or occupied, by an object is kn…
The curve that you see at the liquid's surface
the amount of matter that something is made of
Matter
anything that has volume or mass
Volume
The amount of space taken up, or occupied, by an object is kn…
5 terms
Alg 2: Chapter 1
solution set
coordinate system
Elimination Method
Substitution Method
point (x,y) that solves the system
(x,y): values that can be graphed
solving for one variable by cancelling (eliminating) another…
solving for 1 variable then substituting its' value in to the…
solution set
point (x,y) that solves the system
coordinate system
(x,y): values that can be graphed
20 terms
ALG2 Chapter 1
absolute value
compound inequality
counterexample
formula
a number's distance from zero on the number line
two inequalities joined by the word "and" or "or"
a specific case that shows that a statement is false
a mathematical sentence that expresses the relationship betwe…
absolute value
a number's distance from zero on the number line
compound inequality
two inequalities joined by the word "and" or "or"
15 terms
Alg. 1 Properties & Real Numbers
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
18 terms
Alg. Axioms/Properties - Unit 1
If a and b are real numbers, then a+b…
a+b=b+a
ab=ba
a+(b+c)=(a+b)+c
closure, +/•
commutative, +
commutative, •
associative, +
If a and b are real numbers, then a+b…
closure, +/•
a+b=b+a
commutative, +
9 terms
Alg 2 Trig H Properties
commutative property
associative property
identity property
inverse property
a + b = b + a
(a + b) + c = a + (b + c)
a + 0 = a = 0 + a
a + (-a) = 0 = (-a) + a
commutative property
a + b = b + a
associative property
(a + b) + c = a + (b + c)
10 terms
Table Of Properties Math Alg 1
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
a + b = b + a ... 2 + 3 = 3 + 2
a • b = b • a ... 2 • ( 3 ) = 3 • ( 2 )
a + ( b + c ) = ( a + b ) + c ... 2 + ( 3 + 4 ) = ( 2 + 3 ) + 4
a • ( b • c ) = ( a • b ) • c ... 2 • ( 3 • 4 ) = ( 2 • 3 ) • 4
Commutative Property of Addition
a + b = b + a ... 2 + 3 = 3 + 2
Commutative Property of Multiplication
a • b = b • a ... 2 • ( 3 ) = 3 • ( 2 )
13 terms
Alg 1 ch 2
First difference
Solution
Intersection point
Solution of an inequality
determined by calculating the difference between successive p…
any value that makes an equation true
an ordered pair that satisfies both functions
any value that makes the inequality true
First difference
determined by calculating the difference between successive p…
Solution
any value that makes an equation true
9 terms
Properties of Addition & Multiplication (Alg 1)
Commutative Property of Addition
Associative Property of Addition
Identity Property of Addition
Inverse Property of Addition
the order in which you add two numbers does not change the sum
the way you group three numbers in a sum foes not change the…
the sum of a number and 0 is the number
the sum of a number and its opposite is 0
Commutative Property of Addition
the order in which you add two numbers does not change the sum
Associative Property of Addition
the way you group three numbers in a sum foes not change the…
20 terms
ALG1 Unit 1 Lesson 4 Properties
Commutative Rule on Addition
Associative Rule on Addition
Commutative Rule on Multiplication
Associative Rule on Multiplication
a + b + c = b + c + a
(a+b)+c = a+(b+c)
abc = bac
(ab)c = a(bc)
Commutative Rule on Addition
a + b + c = b + c + a
Associative Rule on Addition
(a+b)+c = a+(b+c)
18 terms
Alg 1 Chapter 2
Absolute Value
Additive Inverse
Associative Property of Addition
Associative Property of Multiplication
The distance a number is from zero on a number line
A pair of numbers whose sum is zero
Changing the grouping of three or more addends does not chang…
Changing the grouping of three or more factors does not chang…
Absolute Value
The distance a number is from zero on a number line
Additive Inverse
A pair of numbers whose sum is zero
27 terms
ALG 2 UNIT 1 Polynomials
coordinate plane
exponent
linear function
quadratic function
A plane that is divided into four regions by a horizontal lin…
A mathematical notation indicating the number of times a quan…
a function with a power of 1 on the x-variable, forming a str…
a function with a power of 2 on the x-variable, forming a par…
coordinate plane
A plane that is divided into four regions by a horizontal lin…
exponent
A mathematical notation indicating the number of times a quan…
10 terms
Alg 2 Module 1
interval
set notation
interval notation
domain
part of a number line without any breaks
{x | 3 < x < 10}
( 3 , 10 )
all possible input values (x - values)
interval
part of a number line without any breaks
set notation
{x | 3 < x < 10}
29 terms
Chapter 1 (Alg. 2)
opposite
reciprocal
numerical expression
power
the opposite, or additive inverse, of any number b is -b
the reciprocal, or multiplicative inverse, of any nonzero num…
consists of numbers, operations, and grouping symbols.
An expression formed by repeated multiplication of the same f…
opposite
the opposite, or additive inverse, of any number b is -b
reciprocal
the reciprocal, or multiplicative inverse, of any nonzero num…
Alg 2 Chapter 1
absolute value of a real number
absolute value
additive inverse
algebraic expression
A numbers distance from zero on the number line.
A number's distance can't be negative because it indicated ho…
The additive inverse of any number a is -a.
An expression that contains one or more variables
absolute value of a real number
A numbers distance from zero on the number line.
absolute value
A number's distance can't be negative because it indicated ho…
13 terms
Alg 2 Ch 1
Standard Form of a Quadratic Function
Parabola
Vertex Form
Intercept Form
The form ax^2+bx+c=0 when a is not zero.
The set of all points equidistant from a point called the foc…
The form y=a(x-h)^2+k, where the vertex of the graph is (h, k…
The form y=a(x-p)(x-q), where the x-intercepts of the graph a…
Standard Form of a Quadratic Function
The form ax^2+bx+c=0 when a is not zero.
Parabola
The set of all points equidistant from a point called the foc…
15 terms
Alg 2 1.2 Vocab
real numbers
rational numbers
irrational numbers
whole numbers
R... --numbers you see in everyday life... --correspond to exactly…
Q... A number that can be in the form p/q, where p and q are int…
I... An irrational number is a number that cannot be expressed a…
W... Counting numbers and zero.
real numbers
R... --numbers you see in everyday life... --correspond to exactly…
rational numbers
Q... A number that can be in the form p/q, where p and q are int…
8 terms
Alg 2- Sec 1
Natural Numbers
Whole Numbers
Integers
Rational numbers
1,2,3...
0,1,2,3...
...,-3,-2,-1,0,1,2,3
-5/3, 7/9, 0.5, and 4/1. When an integer is divided by a nonz…
Natural Numbers
1,2,3...
Whole Numbers
0,1,2,3...
13 terms
Alg 2: 2.1 Quadratics
Standard form of a Quadratic
Axis of Symmetry
Vertex of a Quadratic
When is a Quadratic wider than Parent…
When 0<a<1
Standard form of a Quadratic
Axis of Symmetry
8 terms
Alg 1: CH 2 Vocabulary
equivalent equations
identity
literal equation
proportion
Equations with the same solutions.
An equation that is true for all values of... the variables.
An equation that contains two or more... variables.
A statement that two ratios are equal
equivalent equations
Equations with the same solutions.
identity
An equation that is true for all values of... the variables.
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