Study sets matching "algebra chapter 2"

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Study sets matching "algebra chapter 2"

21 terms
Chapter 2 Algebra 2
COMPRESS
DILATION
DOMAIN
EVEN FUNCTION
A term used informally to describe the relationship of a grap…
A transformation which vertically compresses or stretches the…
The set of all input values for a relation or function.
A function where f(−x) = f(x) for all values of x defined for…
COMPRESS
A term used informally to describe the relationship of a grap…
DILATION
A transformation which vertically compresses or stretches the…
18 terms
Algebra Chapter 2 Vocabulary
Consecutive Integers
Dimensional Analysis
Equivalent Equations
Extremes
Integers in counting order
The process of carrying units throughout a computation
Equations that have the same solution
The outer terms of the proportion
Consecutive Integers
Integers in counting order
Dimensional Analysis
The process of carrying units throughout a computation
12 terms
Algebra 1 - Chapter 2
conversion factor
cross products
formula
inverse operations
a ratio of equivalent measurements used to convert a quantity…
the product of numbers on the diagonal when comparing two rat…
a mathematical relationship or rule expressed in symbols. [p.…
two of the order of operations that undo each other. [p. 88]
conversion factor
a ratio of equivalent measurements used to convert a quantity…
cross products
the product of numbers on the diagonal when comparing two rat…
Algebra Chapter 2
Formula
Equivalent Equations
Equation
Addition Property of Equality
A rule for the relationship between certain quantities.
Have the same solution.
A mathematical sentence that contains an equal sign.
For any real numbers a, b, and c, if a=b, then a+c=b+c
Formula
A rule for the relationship between certain quantities.
Equivalent Equations
Have the same solution.
Chapter 2 Algebra Review
x = 12/5
x = 2.1
x = -10
x = 38.1
The sum of five times a number x and three is the same as fif…
Solve for x. ... 3.8 = x+1.7
Solve for x. ... 2/5x = -4
Solve for x... x/3 - 9.2 = 3.5
x = 12/5
The sum of five times a number x and three is the same as fif…
x = 2.1
Solve for x. ... 3.8 = x+1.7
Chapter 2 - Algebra
conversion factor
cross products
equivalent equations
inverse operations
a ratio of two equivalent measures in different units
the product of the diagonal when comparing two ratios
equations that have the same solution
operations that undo each other
conversion factor
a ratio of two equivalent measures in different units
cross products
the product of the diagonal when comparing two ratios
15 terms
Algebra 2 - Chapter 2
absolute value function
axis of symmetry
direct variation
domain
a V-shaped function written in the form of y = |x|.
a line that divides a graph into two congruent reflected halv…
a linear function defined by an equation of the form y=kx, wh…
all possible x-coordinate values.
absolute value function
a V-shaped function written in the form of y = |x|.
axis of symmetry
a line that divides a graph into two congruent reflected halv…
12 terms
Algebra Chapter 2 Review
Absolute Value
Positive x Positive =
Negative x Positive =
Positive x Negative =
A number's distance from zero.
Positive
Negative
Negative
Absolute Value
A number's distance from zero.
Positive x Positive =
Positive
27 terms
ALGEBRA: CHAPTER 2 - SOLVING EQUATIONS
Equivalent equations
Addition property of equality
Subtraction property of equality
Isolate
Equations that have the same solution.
Adding the same number to each side of an equation produces a…
Subtracting the same number from each side of an equation pro…
Using properties of equality and inverse operations to get a…
Equivalent equations
Equations that have the same solution.
Addition property of equality
Adding the same number to each side of an equation produces a…
10 terms
Algebra: Chapter 2
Order of Operations
variable
terms
constants
rules that tell which operation to do first
a letter that represents a number
parts of an expression separated by a + or a - sign
numbers, or qualities, that do not change
Order of Operations
rules that tell which operation to do first
variable
a letter that represents a number
8 terms
Algebra 2 ~ Chapter 2
correlation
direct variation
domain
function
a measure of the relationship between two variables. (p. 92)
an equation of the form y=kx, where k does not equal 0. (p. 68)
the input set of a function. (p. 61)
an equation that, when given an input, gives a specific outpu…
correlation
a measure of the relationship between two variables. (p. 92)
direct variation
an equation of the form y=kx, where k does not equal 0. (p. 68)
31 terms
Algebra Chapter 2 Review
The Distributive Property
Distribute: x (2 + x)
8x + 16y - 24z
Like terms
The FACTOR on the outside of the parentheses distributes (mul…
2x + x²
Distribute: 8 (x + 2y - 3z)
Terms that are separated by "+" or "-" can only be combined i…
The Distributive Property
The FACTOR on the outside of the parentheses distributes (mul…
Distribute: x (2 + x)
2x + x²
20 terms
Algebra 2 Chapter 2
absolute value function
boundary
constant function
dependent variable
a function where f(x) ≥ 0 for all values of x
a line or curve that separates the coordinate plane into two…
a linear function of the from f(x) = b
the variable whose values depend on the values of the indepen…
absolute value function
a function where f(x) ≥ 0 for all values of x
boundary
a line or curve that separates the coordinate plane into two…
18 terms
Algebra I Chapter 2
additive inverse
matrix
element
multiplicative inverse
the opposite of a number
a rectangular arrangement of numbers in rows and columns
each item in a matrix
the reciprocal of a number
additive inverse
the opposite of a number
matrix
a rectangular arrangement of numbers in rows and columns
Algebra Chapter 2 Vocabulary
Order of Operations
Variable
Terms
Constants
Rules that tell you which operations to do first
A letter that represents a number
Parts of an expression separated by a + or - sign
Numbers, or quantities, that do not change
Order of Operations
Rules that tell you which operations to do first
Variable
A letter that represents a number
15 terms
Algebra 2 - Chapter 2
absolute value function
axis of symmetry
direct variation
domain
a V-shaped function written in the form of y = |x|.
a line that divides a graph into two congruent reflected halv…
a linear function defined by an equation of the form y=kx, wh…
all possible x-coordinate values.
absolute value function
a V-shaped function written in the form of y = |x|.
axis of symmetry
a line that divides a graph into two congruent reflected halv…
22 terms
Algebra 1 Chapter 2
Dimensional analysis
Equivalent equations
Extremes
Formula
The process of carrying units throughout a computation.
Equations that have the same solution.
In the ratio a/b = c/d , a and d are the extremes.
An equation that states a rule for the relationship between c…
Dimensional analysis
The process of carrying units throughout a computation.
Equivalent equations
Equations that have the same solution.
9 terms
Algebra Chapter 2 Definitions
expanded notation
Commutative Property of Addition
geometry
Commutative Property of Multiplication
an algebraic expression written to show its smallest terms
the order in which two numbers are added does not change its…
the study of points, lines, angles, surfaces, and solids
the order in which two numbers are multiplied does not change…
expanded notation
an algebraic expression written to show its smallest terms
Commutative Property of Addition
the order in which two numbers are added does not change its…
Algebra Readiness Chapter 2 (Fractions)
Equivalent Fractions
Least Common Denominator (LCD)
Simplest Form
Proper Fraction
Fractions that represent the same number
The least common multiple of the denominators of two or more…
a fraction is in simplest form if its numerator and denominat…
A fraction whose numerator is less than its denominator
Equivalent Fractions
Fractions that represent the same number
Least Common Denominator (LCD)
The least common multiple of the denominators of two or more…
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
9 terms
Algebra Chapter 2
ratio
weighted averages
percent of change
rate
a comparison of two numbers by division
the sum of the product of the number of units and the value p…
percent of increase or decrease
a ration of two measurements having different units of measure
ratio
a comparison of two numbers by division
weighted averages
the sum of the product of the number of units and the value p…
33 terms
Algebra II Chapter 2
relation
domain
range
mapping diagram
a set of pairs of input and output values
the set of all inputs, or x-coordinates of the ordered pairs
the set of all outputs, or y-coordinates of the ordered pairs
a way to show a relation by linking elements of the domain wi…
relation
a set of pairs of input and output values
domain
the set of all inputs, or x-coordinates of the ordered pairs
College Algebra Chapter 2
An equation is a function if...
Definition of a function
Vertical Line Test
Even Function
each x-value has only one y-value
a correspondence from a first set, called the domain, to a se…
if any vertical line intersects a graph in more than one poin…
f(-x) = f(x), reflected over y-axis
An equation is a function if...
each x-value has only one y-value
Definition of a function
a correspondence from a first set, called the domain, to a se…
10 terms
Algebra I Chapter 2.1-2.5
formula (2.1)
solve an equation (2.2)
equivalent equations (2.2)
subtraction property of equality (2.2)
a rule for the relationship between certain quantities
to find the value of the variable that makes the equation true
have the same solution
if an equation is true and the same number is subtracted from…
formula (2.1)
a rule for the relationship between certain quantities
solve an equation (2.2)
to find the value of the variable that makes the equation true
20 terms
Algebra Chapter 2
Consecutive Numbers
Dimensional Analysis
Equivalent Equations
Extremes
The members of a set listed in order, without skipping any; c…
A technique of problem-solving that uses the units that are p…
equations that have the same solution
In a proportion, the numerator of the first fraction and the…
Consecutive Numbers
The members of a set listed in order, without skipping any; c…
Dimensional Analysis
A technique of problem-solving that uses the units that are p…
42 terms
Algebra 2 Chapter 2 Vocabulary
Parent Function
Line of Best Fit
Scatterplot
Reflection
Simplest form of a set of functions that form a family
The trend line that finds the most accurate model of related…
Graph that relates two different sets of data by plotting the…
Flips the graph of a function across a line
Parent Function
Simplest form of a set of functions that form a family
Line of Best Fit
The trend line that finds the most accurate model of related…
19 terms
Algebra 1, Chapter 2
Whole numbers
Integers
Rational numbers
Opposites
the numbers 0, 1, 2, 3, ...
the numbers ..., -3, -2, -1, 0, 1, 2, 3, ...
numbers that can be written a/b where a and b are integers
two numbers the same distance from 0, but are on opposite sid…
Whole numbers
the numbers 0, 1, 2, 3, ...
Integers
the numbers ..., -3, -2, -1, 0, 1, 2, 3, ...
36 terms
Algebra Chapter 2
Relation
Function
Domain
Range
set of ordered pairs
Type of reaction where each x can only be paired with one y
Set of all input (x) values that make sense or allowed for a…
Set of all output (y) values that exist for a function
Relation
set of ordered pairs
Function
Type of reaction where each x can only be paired with one y
Algebra 1 - Chapter 2
1 step Equation
2 step Equation
Multi - Step Equation
Identity
get the variable by itself by undoing the problem... - addition…
get the variable by itself by undoing the problem, reverse th…
get the variable by itself by undoing the problem, reverse th…
both sides of equal sign are same
1 step Equation
get the variable by itself by undoing the problem... - addition…
2 step Equation
get the variable by itself by undoing the problem, reverse th…
Algebra Chapter 2 Vocab
Real numbers
Natural numbers
Whole numbers
Integers
Encompasses all number systems
The positive counting numbers (1,2,3,...)
The positive counting numbers including zero (0,1,2,3,...)
The set of positive and negative whole numbers
Real numbers
Encompasses all number systems
Natural numbers
The positive counting numbers (1,2,3,...)
Intermediate Algebra Chapter 2
consecutive integers
equivalent equations
identity
inverse operations
Integers that differ by 1
Equations that have the same solution
An equation that is true for every value
Operations that undo one another
consecutive integers
Integers that differ by 1
equivalent equations
Equations that have the same solution
20 terms
Chapter 2 Vocabulary (Algebra)
Consecutive Integers
Dimensional analysis
Equivalent equations
Extremes
integers in counting order
A mathematical technique that allows you to use units to solv…
equations that have the same solution
In a proportion, the numerator of the first fraction and the…
Consecutive Integers
integers in counting order
Dimensional analysis
A mathematical technique that allows you to use units to solv…
Algebra Chapter 2
Order of Operation ( PEMDAS )
Variable
Terms
Coefficient
Rule that tells you what to do first
a letter that represents a number
parts of an expression separated by a+ or - sign
a number that multiples a variable
Order of Operation ( PEMDAS )
Rule that tells you what to do first
Variable
a letter that represents a number
Algebra 2 Chapter 2
relation
domain
range
function
a set of pairs of input and output values
set of all inputs, or x-coordinates
set of all outputs, or y coordinates
a relation in which each element of the domain is paired with…
relation
a set of pairs of input and output values
domain
set of all inputs, or x-coordinates
27 terms
Algebra 2 Chapter 2 Vocabulary
absolute value function
boundary
dependent variable
domain
y = a|x-h|+k
a line or curve that separates the coordinate plane into two…
the variable whose values depend on the values of the indepen…
the set of all x-coordinates of the ordered pairs of a relation
absolute value function
y = a|x-h|+k
boundary
a line or curve that separates the coordinate plane into two…
25 terms
Algebra 1 Chapter 2
Consecutive Integers
Dimensional Analysis
Equivalent Equations
Extremes
integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.
changing from one unit to another via conversion factors... aka…
equations that have the same solution
In a proportion, the numerator of the first fraction and the…
Consecutive Integers
integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.
Dimensional Analysis
changing from one unit to another via conversion factors... aka…
19 terms
Algebra 2 Chapter 2
domain
range
function
independent variable
the set of input values, or x values
the set of output values, or y values
relation with only one output value for each input value
the input in an equation
domain
the set of input values, or x values
range
the set of output values, or y values
22 terms
Financial Algebra - Chapter 2
data
univariate data
bivariate data
scatterplot
any set of numbers
a single list of data
data set that shows a relationship between a pair of data sets
a graph that shows bivariate data using points on a graph
data
any set of numbers
univariate data
a single list of data
ALGEBRA 1~ Chapter 2
Solution of the equation
Equivalent Equations
Inverse Operations
Consecutive Integers
To solve an equation containing a variable, find the value(s)…
Equations that have the same solution(s)
Operations that undo one another
Numbers that differ by 1
Solution of the equation
To solve an equation containing a variable, find the value(s)…
Equivalent Equations
Equations that have the same solution(s)
Algebra: Chapter 2
Order of Operations
variable
terms
constants
rules that tell which operation to do first
a letter that represents a number
parts of an expression separated by a + or a - sign
numbers, or qualities, that do not change
Order of Operations
rules that tell which operation to do first
variable
a letter that represents a number
Algebra Chapter 2
relation
mapping... ordered pairs... table... graph
domain
range
set of pairs of input and output values
Four ways to represent a relation
x values
y values
relation
set of pairs of input and output values
mapping... ordered pairs... table... graph
Four ways to represent a relation
12 terms
Algebra 1 Vocabulary - Chapter 2
equation
formula
cross products
formula
A statement that two expressions have the same value.
An equation that states a rule or a fact.
The product of the numerator of one ratio and the denominator…
A mathematical relationship or rule expressed in symbols.
equation
A statement that two expressions have the same value.
formula
An equation that states a rule or a fact.
14 terms
Chapter 2: Tools for Algebra
Order of Operations
variable
terms
constants
rules that tell you which operations to do first
a letter that represents a number
parts of an expression separated by a + or - sign
numbers, or quantities, that do not change
Order of Operations
rules that tell you which operations to do first
variable
a letter that represents a number
9 terms
Chapter 2 Pre-Algebra Vocabulary
Additive Identity
Coefficient
Constant
Equation
The sum of a number and 0 is the number
The number part of a term with a variable
A number with no variable
A mathematical sentence formed by placing an equal sign betwe…
Additive Identity
The sum of a number and 0 is the number
Coefficient
The number part of a term with a variable
17 terms
Pre-Algebra Chapter 2 Vocabulary
additive identity
multiplication identity
commutative property of addition
commutative property of multiplication
the sum of a number, and the additive identity, 0, is the num…
the product of a number and the multiplication identity, 1, i…
changing the order of the addends will not change the sum: *a…
changing the order of the factors will not change the product…
additive identity
the sum of a number, and the additive identity, 0, is the num…
multiplication identity
the product of a number and the multiplication identity, 1, i…
5 terms
Chapter 2 Introduction to Algebra
variable
constant
algebraic expression
equation
an expression that contains as least one variable
a value that does not change
a symbol used to represent a quantity that can change
a mathematical sentence that shows that two expressions are e…
variable
an expression that contains as least one variable
constant
a value that does not change
Algebra Chapter 2 Vocabulary
solve an equation
equivalent equations
multi-step equation
consecutive integers
the process of finding all values of the variable that make t…
equations that have the same solution
equations with more than one operation
integers in counting order
solve an equation
the process of finding all values of the variable that make t…
equivalent equations
equations that have the same solution
7 terms
Chapter 2 Algebra (Glencoe)
consecutive integers
identity
literal equation
proportion
Integers in counting order.
An equation that is true for every value of the variable.
A formula or equation with several variables.
An equation of the form (a/b)=(c/d), where b, d ≠ 0, stating…
consecutive integers
Integers in counting order.
identity
An equation that is true for every value of the variable.
18 terms
Pre-Algebra Chapter 2
Associative Property of Multiplication
Associative Property of Addition
Distributive Property
Commutative Property of Addition
a(bc) = (ab)c
(a + b) + c = a + (b + c)
a(b + c) = ab + bc
a + b = b + a
Associative Property of Multiplication
a(bc) = (ab)c
Associative Property of Addition
(a + b) + c = a + (b + c)
Algebra: Chapter 2
Equation
Solution of an Equation
Identity
Contradiction
Mathematical Statement that two expressions are the same.
A value for a variable that makes an equation true
An equation that's true for all the values of the variable
An equation that is not true for any value of the variable.
Equation
Mathematical Statement that two expressions are the same.
Solution of an Equation
A value for a variable that makes an equation true
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