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Study sets matching "algebra chapter 2"

12 terms
Algebra 2 Chapter 2 Vocab
Monomial
Polynomial
Degree of a Monomial
Degree of a Polynomial
A number, a variable, or a product of numbers and/or variables
A monomial or a sum difference of monomials
The sum of the powers of the VARIABLES
The largest degree of its monomials
Monomial
A number, a variable, or a product of numbers and/or variables
Polynomial
A monomial or a sum difference of monomials
16 terms
Algebra 1 Chapter 2 Vocabulary
Additive Inverse
Graph
Number Line
Integers
the number in the set of real numbers that when added to a gi…
to draw, or plot, the points name by a certain numbers or ord…
a line on which numbers are marked at intervals, used to illu…
The set of numbers that include {... -2, -1, 0, 1, 2, ...}
Additive Inverse
the number in the set of real numbers that when added to a gi…
Graph
to draw, or plot, the points name by a certain numbers or ord…
17 terms
algebra 2 chapter 2 study guide
standard vertex form
standard polynomial form
standard factored form
y=x
y=ax^2+bx+c
y= (x+3) (x+5)
standard vertex form
standard polynomial form
y=ax^2+bx+c
14 terms
Chapter 2 Vocabulary- Algebra 1
Absolute Value
Additive Inverse
Integers
Irrational Number
The absolute value of a number "n" is its distance from zero…
A number and its opposite are additive inverses of each other…
The set {..., -2, -1, 0, 1, 2, ...}
Numbers that cannot be expressed as terminating or repeating…
Absolute Value
The absolute value of a number "n" is its distance from zero…
Additive Inverse
A number and its opposite are additive inverses of each other…
18 terms
Modern Algebra: Chapter 2
Congruence Definition
Theorem 2.1
Theorem 2.2
Congruence Class Definition
Let a,b,n be positive integers with n > 0. Then a is congruen…
Let n be a positive integer. For all a,b,c ε ℤ,... (1) a ≡ a (mo…
If a ≡ b (mod n) and c ≡ d (mod n), then ... (1) a + c ≡ b + d (…
Let a and n be integers with n > 0. The congruence class of a…
Congruence Definition
Let a,b,n be positive integers with n > 0. Then a is congruen…
Theorem 2.1
Let n be a positive integer. For all a,b,c ε ℤ,... (1) a ≡ a (mo…
6 terms
Khan Academy. Linear Algebra. Chapter 2.
i^ (i - hat)
j^ (j - hat)
Basis vectors
Basic of vector space
The vector pointing to x direction
The vector pointing to y direction
A set of elements (vectors) in a vector space V is called a b…
Set of linearly independent vectors that span the full space.
i^ (i - hat)
The vector pointing to x direction
j^ (j - hat)
The vector pointing to y direction
9 terms
Aops Algebra Vocabulary - Chapter 2-5
expression
variable
constant
coefficient
when we combine numbers and/or variables using operations suc…
the x or other letter in an expression
a number like 6 or 0.5 or 2.3 that can only ever have one spe…
when a constant is multiplied by a variable
expression
when we combine numbers and/or variables using operations suc…
variable
the x or other letter in an expression
13 terms
Algebra Chapter 2 - Creating and Solving Compound Inequalities - WGinn97
Compound Statement... (sentencia compuesta)
Compound Inequality... (desigualdad compu…
Intersection vs. Union... (intersección f…
Truth Table... (tabla de verdad)
Formed by combining two or more simple statements; can be tru…
Formed by combining two or more simple inequalities.
Intersection = AND; the overlapping region of simple inequali…
A truth table is a table whose columns are statements, and wh…
Compound Statement... (sentencia compuesta)
Formed by combining two or more simple statements; can be tru…
Compound Inequality... (desigualdad compu…
Formed by combining two or more simple inequalities.
13 terms
PreAlgebra Chapter 2 Vocabulary Glencoe
Absolute Value
Additive Inverse
Coordinate
Inequality
The distance a number is from zero on the number line.
An integer and its opposite.
A number that corresponds with a point on a number line.
A mathematical sentence that contains <,>,≤,≥, or ≠ sign.
Absolute Value
The distance a number is from zero on the number line.
Additive Inverse
An integer and its opposite.
15 terms
Algebra Chapter 2: Operations in Algebra
Rational Number
Natural number
Whole number
Integers
Any number that can be written as a fraction
Any number 1 and above
Any number 0 and above
Any negative or positive number
Rational Number
Any number that can be written as a fraction
Natural number
Any number 1 and above
14 terms
Algebra 1 Chapter 2
consecutive integers
equivalent equations
identity
inverse operations
Integers differ by one.
Equations that had the same solution(or solutions).
An equation that is true for every value of the variable.
Operations that undo one another.
consecutive integers
Integers differ by one.
equivalent equations
Equations that had the same solution(or solutions).
13 terms
Algebra 1- Chapter 2 Vocabulary
Formula
Solve an Equation
Equivalent Equations
Multi-step equations
A rule for the relationship between certain quantities.
The process to find the value of the variable that makes the…
Equations that have the same solution.
More than on step to solve the problem.
Formula
A rule for the relationship between certain quantities.
Solve an Equation
The process to find the value of the variable that makes the…
15 terms
Algebra 2 Chapter 2 Vocabulary
Domain
Linear inequlity
Negative slope
parallel
Set of input values, x values= input,
Ax + By > C, y < 2x = 5
the slope that falls when you follow the graph from left to r…
lines that do not intersect, Their slopes are identical/same
Domain
Set of input values, x values= input,
Linear inequlity
Ax + By > C, y < 2x = 5
20 terms
Algebra 2 Chapter 2
Absolute Value Function
Boundary
Cartesian Coordinate Plane
Constant Function
A function written as f(x) = IxI, where f(x) is greater than…
A line or curve that seperates the coordinate plane into two…
A plane divided into four quadrants by the intersection of th…
A linear function of the form f(x)=b
Absolute Value Function
A function written as f(x) = IxI, where f(x) is greater than…
Boundary
A line or curve that seperates the coordinate plane into two…
13 terms
Algebra 1 2015 - Chapter 2 Vocabulary
complement
compound inequality
disjoint sets
empty or null set
all elements in the universal set that are not in the set.
is two distinct inequalities joined by the word "and" or the…
have no elements in common
contains no elements. It is a subset of every set. Use Ø or {…
complement
all elements in the universal set that are not in the set.
compound inequality
is two distinct inequalities joined by the word "and" or the…
31 terms
Algebra II Chapter 2
y axis
x axis
Cartesian Coordinate System
origin
(0,0)
y axis
x axis
8 terms
Algebra Chapter 2: Properties of Real Numbers
real numbers
integers
absolute value
counterexample
the set of all rational and irrational numbers
whole numbers and their opposites
The distance a number is from zero on a number line
an example that proves a statement false
real numbers
the set of all rational and irrational numbers
integers
whole numbers and their opposites
10 terms
Chapter 2 Vocab- Pre-Algebra
Consumer Math
Tax
Tip
Mark up
math used in everyday life which includes, tax, tips, and mar…
Additional money paid to the government on sold goods
Additional money paid for a service provided
The amount of money a store will "mark up" the praice of a good
Consumer Math
math used in everyday life which includes, tax, tips, and mar…
Tax
Additional money paid to the government on sold goods
15 terms
Algebra 1 Chapter 2
Closure Property
Commutative Property
Associative Property
Terms
For all real numbers a and b:... a + b is a unique real number... a…
For all real numbers a and b:... a + b = b + a... ab = ba... The order…
For all real numbers a, b, and c:... (a+b) + c = a + (b+c)... (ab)c…
Numbers being added
Closure Property
For all real numbers a and b:... a + b is a unique real number... a…
Commutative Property
For all real numbers a and b:... a + b = b + a... ab = ba... The order…
11 terms
Chapter 2 Vocab - pre-algebra
closure property of addition
commutative property of addition
identity property of addition
inverse
adding any pair of numbers from the set and the sum is also i…
allows the order of the addends to change without affecting t…
the sum of any integer and zero equals the original integer
the sum of any integer and its additive inverse equals zero,…
closure property of addition
adding any pair of numbers from the set and the sum is also i…
commutative property of addition
allows the order of the addends to change without affecting t…
13 terms
Algebra IA - Chapter 2 Vocabulary
compound inequality
inequality
intersection
solution of an inequality
two simple inequalities that are combined into one statement…
a statement that compares two expressions using one of the fo…
the set of all elements that are common to both sets, denoted…
any value that makes the inequality true
compound inequality
two simple inequalities that are combined into one statement…
inequality
a statement that compares two expressions using one of the fo…
13 terms
Algebra 2 - Pearson Chapter 2.4-2.8
parent function
transformation
translation
reflection
The simplest form in a set of functions that form a family.
The moving of a figure by a translation (slide), rotation (tu…
Shifts the graph of the parent function horizontally, vertica…
Flips the graph of a function over a line such as the x-axis…
parent function
The simplest form in a set of functions that form a family.
transformation
The moving of a figure by a translation (slide), rotation (tu…
25 terms
Algebra I: Chapter 2 - Equations
x - 18 = - 143
7/8 + x = 1/2
44 = x/(-3)
(2/7)x + 9 = -15
x = -143 + 18... x = -125
x = 4/8 - 7/8... x = -3/8
x = 44*(-3)... x = -132
(2/7)x = -24... x = (-24)(7/2)... x = -84
x - 18 = - 143
x = -143 + 18... x = -125
7/8 + x = 1/2
x = 4/8 - 7/8... x = -3/8
13 terms
Algebra chapter 2
In y=a|x+b|+c what does b do
In y=a|x+b|+c what does c do
In y=a|x+b|+c what does a do
Constant function
Shifts left if negative and right if positive
Shifts graph down if negative and up if positive
Determines slope and direction it opens if negative down
Y=4
In y=a|x+b|+c what does b do
Shifts left if negative and right if positive
In y=a|x+b|+c what does c do
Shifts graph down if negative and up if positive
Algebra Chapter 2
Identity prop. of mult.
Identity prop. of add.
Inverse prop. of add.
Inverse prop. of mult.
multiply anything by 1 and get the same number
add 0 to any number and get the same number
13 +9=9+13
3x7=7x3
Identity prop. of mult.
multiply anything by 1 and get the same number
Identity prop. of add.
add 0 to any number and get the same number
38 terms
Algebra 2 - Chapter 2
relation
domain
range
function
mapping or pairing of input values with output values
input values
output values
a relation for which each input has exactly 1 output
relation
mapping or pairing of input values with output values
domain
input values
10 terms
Algebra Chapter 2 Vocabulary
solve an equation
equivalent equation
formula
identity
to find all values of the variable that make the equation a t…
equations that have the same solution, but just look different
an equation that states a rule for the relationship between c…
an equation that is true for all real values of the variable…
solve an equation
to find all values of the variable that make the equation a t…
equivalent equation
equations that have the same solution, but just look different
13 terms
Algebra Chapter 2
Dimensional Analysis
Equivalent Equations
Formula
Identity
The process of carrying units throughout a computation
Equations that have the same solution
An equation that states a rule for the relationship between c…
An equation that is true for every value of the variable
Dimensional Analysis
The process of carrying units throughout a computation
Equivalent Equations
Equations that have the same solution
48 terms
Chapter 2 Algebra Vocab
discrete
continuous
vertical line test
domain
a relation in which the domain is a set of individual points
the domain of a relation has an infinite number of elements a…
if a vertical line does not intersect a graph in more than on…
all X values (can't be repeated)
discrete
a relation in which the domain is a set of individual points
continuous
the domain of a relation has an infinite number of elements a…
22 terms
Algebra Chapter 2 Vocab
Consecutive integers
Dimensional analysis
Equivalent equations
Extremes
Integers in counting order
The process of carrying units throughout a computation
Equations that have the same value
In the ratio a/b=c/d, a and d are extremes
Consecutive integers
Integers in counting order
Dimensional analysis
The process of carrying units throughout a computation
Algebra Chapter 2
Equivalent Equations
addition (subtraction) property of equ…
isolate
inverse operations
Equations that have the same solution
adding/ subtraction the same number to each side of an equati…
to get a variable with a coefficient of 1 alone on one side o…
operations that undo eachother
Equivalent Equations
Equations that have the same solution
addition (subtraction) property of equ…
adding/ subtraction the same number to each side of an equati…
24 terms
Algebra Chapter 2 Vocab
Equivalent Equations
Isolate
Inverse Operation
Literal Equation
Equations with the same solutions.
Get variable with coefficient of 1 .
An operation the undo another
An equation with two or more variables
Equivalent Equations
Equations with the same solutions.
Isolate
Get variable with coefficient of 1 .
24 terms
ALGEBRA chapter 2
real numbers
Rational numbers
integers
whole numbers
all numbers are real numbers
any number that can be turned into a decimal
all numbers except decimals or fractions
all positive numbers and zero
real numbers
all numbers are real numbers
Rational numbers
any number that can be turned into a decimal
12 terms
Chapter 2 Algebra Vocab
quadratic function
parabola
vertex
vertex form
a function that can be written in the form f(x)=ax2+bx+c, whe…
the shape of the graph of a quadratic function. also, the set…
the highest or lowest point on the parabola
a quadratic function written in the form f(x)=a(x-h)2+k, wher…
quadratic function
a function that can be written in the form f(x)=ax2+bx+c, whe…
parabola
the shape of the graph of a quadratic function. also, the set…
21 terms
Chapter 2 Algebra Vocab
Formula
Solve an equation
equivalent equations
multistep equation
A rule for the relationship between quantities
Finding a value for a variable that makes the equation true
Equations that have the same answer or solution
an equation that has more than one step
Formula
A rule for the relationship between quantities
Solve an equation
Finding a value for a variable that makes the equation true
17 terms
Algebra chapter 2 vocab
Discrete
Continuous
Vertical line test
Independent variable
Points that are not connected
Points that are connected with a line or curve
Test to see if the relation is a function
X value / domain
Discrete
Points that are not connected
Continuous
Points that are connected with a line or curve
28 terms
Algebra ~ Chapter 2
Real Numbers
Real Number Line
Origin
Negative Numbers
Numbers that can be pictured as points on a horizontal line.
A horizontal line that displays real numbers.
The point labeled as zero.
The points to the left of zero.
Real Numbers
Numbers that can be pictured as points on a horizontal line.
Real Number Line
A horizontal line that displays real numbers.
38 terms
Algebra Chapter 2
Relation
Domain
Range
Function
A set of pairs of input and output values
The set of inputs
The set of outputs
A relation in which each element of the domain corresponds wi…
Relation
A set of pairs of input and output values
Domain
The set of inputs
22 terms
Algebra Chapter 2
real numbers
origin
negative numbers
positive numbers
The set of numbers consisting of the positive numbers, the ne…
The point labeled zero on the number line
Any of the numbers less than zero
Any of the numbers greater than zero
real numbers
The set of numbers consisting of the positive numbers, the ne…
origin
The point labeled zero on the number line
40 terms
Pre-Algebra Chapter 2
-3
-7
-24
-5
-6 + 3
2 - 9
-6 x 4
20 / (-4)
-3
-6 + 3
-7
2 - 9
28 terms
Chapter 2 Algebra Vocab
Relation
Domain
Range
Function
A set of pairs of input and output values.
A relation is the set of inputs, also called x-coordinates, o…
The set of outputs, also called y-coordinates, of the ordered…
A relation in which each element of the domain corresponds wi…
Relation
A set of pairs of input and output values.
Domain
A relation is the set of inputs, also called x-coordinates, o…
6 terms
Pre-Algebra Chapter 2
Positive
Negative
Any positive or negative whole number
Cannot contain fractions or decimals
Number greater than zero
Number less than zero
Integer
Whole number
Positive
Number greater than zero
Negative
Number less than zero
32 terms
Algebra chapter 2 vocab
Absolute value
Absolute value function
Additive property of inequality
Additive identity
The distance a number is from zero on the number line (always…
A function whose equation contains absolute value symbols- it…
If a<b, then a+c<b+c
The number "zero" -properly states that adding zero does not…
Absolute value
The distance a number is from zero on the number line (always…
Absolute value function
A function whose equation contains absolute value symbols- it…
41 terms
Financial Algebra - Chapter 2 Terms
Correlation
Positive Correlation
Negative Correlation
Explanatory Variable
Similarity/association between two variables
If the value of one variable increases while the other one in…
If the value of one variable decreases while the other variab…
The variable in that causes the other variables to change
Correlation
Similarity/association between two variables
Positive Correlation
If the value of one variable increases while the other one in…
19 terms
Algebra Chapter 2
Equivalent Equation
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Equations that have the solution
If a = b, then a +c = b + c
If a = b, then a - c = b - c
If a = b, then ac = bc
Equivalent Equation
Equations that have the solution
Addition Property of Equality
If a = b, then a +c = b + c
16 terms
Algebra chapter 2 vocab
The property which says that grouping…
The property which states that it does…
Integers in counting order
a(x+y)=ax+ay
The distance a number is from zero on the number line (always…
A function whose equation contains absolute value Symbols-it'…
If a<b then a+c<b+c
The number zero-property states that adding zero does not cha…
The property which says that grouping…
The distance a number is from zero on the number line (always…
The property which states that it does…
A function whose equation contains absolute value Symbols-it'…
10 terms
Chapter 2 Vocabulary: Pre-Algebra
Distributive Property
Division Property of Equality
Inverse Operations
Like Terms
Shows how multiplication affects an addition or subtraction:…
States that if both sides of an equation are divided by the s…
Inverse operations are operations that undo each other. For e…
Terms that have the same variable or no variable.
Distributive Property
Shows how multiplication affects an addition or subtraction:…
Division Property of Equality
States that if both sides of an equation are divided by the s…
8 terms
algebra 1- chapter 2 vocab
equations that have the same solution…
to get the variable with a coefficient…
it undoes another operation. for examp…
compares two numbers by division
equivalent equations
isolate
inverse operation
ratio
equations that have the same solution…
equivalent equations
to get the variable with a coefficient…
isolate
15 terms
Algebra Chapter 2 Vocab
parent function
transformation
slope
scatter plot
simplest form in a set of functions that forms a family.
each function in the family is a transformation of the parent…
of a non vertical line is the ratio of vertical change to the…
a graph that relates two sets of by plotting the data as orde…
parent function
simplest form in a set of functions that forms a family.
transformation
each function in the family is a transformation of the parent…
14 terms
algebra chapter 2
percent of change
proportion
rate
ratio
the ratio of the change in an amount to the original amount e…
an equation stating the two ratios are equal
the ratio of two measurements having different units of measure
a comparison of two numbers by division
percent of change
the ratio of the change in an amount to the original amount e…
proportion
an equation stating the two ratios are equal
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