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Study sets matching "algebra chapter 2"

19 terms
Chapter 2:Introduction to Algebra
Sum
Difference
Product
Quotient
Answer to an addition problem
Answer to a subtraction problem
Answer to a multiplication problem
Answer to a division problem
Sum
Answer to an addition problem
Difference
Answer to a subtraction problem
29 terms
Pre-Algebra Chapter 2
Commutative Property
Associative Property
Identity Property of Addition
Additive Identity
You can add or multiply numbers in any order. 2 + 3 is the sa…
Changing the grouping (parentheses) of numbers you are adding…
The sum of a number and 0 is the number.
Zero .... because you can add zero to anything and its value…
Commutative Property
You can add or multiply numbers in any order. 2 + 3 is the sa…
Associative Property
Changing the grouping (parentheses) of numbers you are adding…
14 terms
Pre-Algebra Chapter 2 Vocabulary
negative number
positive number
integer
opposites
less than zero
greater than zero
all positive and negative numbers including zero
same distance from zero on opposite sides of zero
negative number
less than zero
positive number
greater than zero
11 terms
Pre-Algebra- Chapter 2
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 < >
absolute value
the distance a number is from zero on the number line
additive inverse
an integer and its opposite
16 terms
Algebra Chapter 2
one-to-one function
onto function
discrete function
continuous function
each x pairs to exactly one y
there is at least one x paired to each y
relation in which the domain is a set of individual points
relation has infinite number of elements and can be graphed w…
one-to-one function
each x pairs to exactly one y
onto function
there is at least one x paired to each y
9 terms
Algebra Chapter 2
Property of the Opposite of a Sum
Commutative Property for Multiplication
Commutative Property for Addition
Closure Property for Addition and Mult…
The opposite of a sum of real numbers is equal to the sum of…
The order in which you multiply numbers, does not change the…
The order in which you add numbers, does not change the outco…
The sum and the product of any two real numbers is also one r…
Property of the Opposite of a Sum
The opposite of a sum of real numbers is equal to the sum of…
Commutative Property for Multiplication
The order in which you multiply numbers, does not change the…
15 terms
Pre-Algebra Chapter 2 Vocabulary
absolute value (p. 63)
additive inverse (p. 71)
coordinate (p. 62)
inequality (p. 62)
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 ≥.
absolute value (p. 63)
The distance a number is from zero on the number line.
additive inverse (p. 71)
An integer and its opposite.
Chapter 2 Algebra Vocabulary
Theorem
Conclusion
Counterexample
Hypothesis
statements that we must prove
"then"
proof of a false statement
"if"
Theorem
statements that we must prove
Conclusion
"then"
13 terms
PreAlgebra Chapter 2 vocabulary
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 a not equal…
Absolute Value -
The distance a number is from zero on the number line.
Additive Inverse -
An integer and its opposite.
34 terms
Algebra Chapter 2 Graphing and Writing Linear Equations
slope
slope triangle
rise
run
the ratio of rise over run of a line; its steepness or flatness
a triangle drawn to show rise and run
the amount of change on the y-coordinates
the amount of change on the x-coordinates
slope
the ratio of rise over run of a line; its steepness or flatness
slope triangle
a triangle drawn to show rise and run
14 terms
Algebra Chapter 2
Relation
Domain
Range
Mapping diagram
A set of pairs of input and output values. Can be written as…
The set of all inputs, or x-coordinates, of the ordered pairs
The set of all outputs, or y-coordinates, of the ordered pairs
Links elements of the domain with corresponding elements of t…
Relation
A set of pairs of input and output values. Can be written as…
Domain
The set of all inputs, or x-coordinates, of the ordered pairs
41 terms
Chapter 2 Algebra vocabulary
relation
domain
range
function
set of ordered pairs
x values of a relation, independent
y values of a relation, dependent
a relation in which every element of the domain corresponds w…
relation
set of ordered pairs
domain
x values of a relation, independent
10 terms
Algebra chapter 2
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Numbers can be added in any order in the answer is the same:…
Numbers can be multiplied in any order and the answer is the…
Numbers are kept in the same order but our group differently.…
Numbers are kept in the same order but Are group differently.…
Commutative property of addition
Numbers can be added in any order in the answer is the same:…
Commutative property of multiplication
Numbers can be multiplied in any order and the answer is the…
6 terms
Algebra Chapter 2 Vocabulary
Formula
Equivalent Equations
Multiple Step Equation
Consecutive Integers
An equation that states a rule for the relationship between c…
Equations that have the same solution.
Equations with more than one operation.
Integers in counting order.
Formula
An equation that states a rule for the relationship between c…
Equivalent Equations
Equations that have the same solution.
24 terms
Chapter 2 Algebra vocab
Axiom or postulate
Axioms of closure
Commutative axioms
Associative axioms
Statements that are assumed to be true
For all real numbers A and B, A + B and AB are unique real nu…
For all real numbers A and B, A + B = B + A and AB =BA
For all real numbers A, B, and C, (A + B)+C= A+(B+C) and (AB)…
Axiom or postulate
Statements that are assumed to be true
Axioms of closure
For all real numbers A and B, A + B and AB are unique real nu…
35 terms
algebra chapter 2 vocabulary
absolute value function
bivariate data
constant function
continuous relation
a function that contains an algebraic expression within absol…
data with two variables (such as year and number of visitors)
f(x) = a, where a is any number; the domain is all real numbe…
when the domain of a relation has an infinite number of eleme…
absolute value function
a function that contains an algebraic expression within absol…
bivariate data
data with two variables (such as year and number of visitors)
17 terms
Chapter 2 Algebra Vocabulary
Axiom of Additive Inverses
Property of the Reciprocal of a Product
Axiom of Multiplicative Inverses
Multiplicative Property of -1
a+(-a)=0 and -a+a=0
1/ab=1/a * 1/b
a 1/a=1 and 1/a a=1
a(-1)=-a and (-1)a=-a
Axiom of Additive Inverses
a+(-a)=0 and -a+a=0
Property of the Reciprocal of a Product
1/ab=1/a * 1/b
11 terms
Algebra Chapter 2
Compound inequality
Conjunction
Coordinate
Disjunction
2 or more inequalities expressed in one sentence
Compound Statement of two or more statements joined by the wo…
Number that corresponds to a point on a number line
A compound statement of 2 or more statements joined by the wo…
Compound inequality
2 or more inequalities expressed in one sentence
Conjunction
Compound Statement of two or more statements joined by the wo…
25 terms
Algebra 1, Chapter 2 Vocabulary
formula
solve an equation
equivalent equations
multi-step equation
relationship between certain quantities
to find the value of the variable that makes the equation true
have the same solution
an equation that requires more than one step to solve
formula
relationship between certain quantities
solve an equation
to find the value of the variable that makes the equation true
10 terms
Algebra - Chapter 2
direct variation formula
positive correlation
negative correlation
no correlation
y = ax
increasing (positive slope)
decreasing (negative slope)
??? (makes zero ****ing sense)
direct variation formula
y = ax
positive correlation
increasing (positive slope)
17 terms
Algebra chapter 2
Relation
Domain
Range
Function
A set of pairs of input and output values
The set of all input values (x- coordinates)
The set of all outputs values (y - coordinates)
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 all input values (x- coordinates)
23 terms
Algebra Chapter 2
When for every x, there is one y
Domain (Dx)
Range (Ry)
Vertical line test... (If a vertical line…
When is a relation a function?
The set of all possible independent values
The set of all possible dependent values
How can you test, on a graph, if a relation is a function?
When for every x, there is one y
When is a relation a function?
Domain (Dx)
The set of all possible independent values
18 terms
Algebra 2 Chapter 2 - Dr. Jackson
identity function
f(x)=x
square root function
f(x)=√x
What is the equation of this picture?
What is the equation of this picture?
identity function
f(x)=x
What is the equation of this picture?
10 terms
Chapter 2 Vocabulary- Algebra
Equivalent Equations
Identity
Inverse Operations
Literal Equations
Equations that have the same solution
An equation that is true for every possible value of the vari…
Opposite operations, undos another operation
An equation that involves two or more variables
Equivalent Equations
Equations that have the same solution
Identity
An equation that is true for every possible value of the vari…
20 terms
algebra chapter 2
equivelent equations
isolate
inverse operation
identity
equations that have the same solutions
use properties of equality and inverse operations to get a va…
operations that undo one another
an equation that is true for every value
equivelent equations
equations that have the same solutions
isolate
use properties of equality and inverse operations to get a va…
21 terms
Chapter 2 Algebra Vocab
Rational Number
Natural (Counting)
Whole
Integers
Any number that can be written as a fraction
1,2,3.....
0,1,2,3.....
.....-3,-2,-1,0,1,2,3.....
Rational Number
Any number that can be written as a fraction
Natural (Counting)
1,2,3.....
22 terms
Algebra 1 Chapter 2 Vocab
addition property of equality
consecutive integers
division property of equality
equivalent equations
The property that states the same number can be added to both…
_____ are integers that are in counting order such as 4, 5, 6…
The property that states both sided of an equation can be div…
_____ are equations that have the same solution
addition property of equality
The property that states the same number can be added to both…
consecutive integers
_____ are integers that are in counting order such as 4, 5, 6…
36 terms
Algebra 2 Chapter 2
Slope
x-intercept
y-intercept
Slope-intercept form
Measure of steepness of a line can be positive, negative, zer…
Location where a function crosses the x axis. The location is…
Location where a function crosses the y axis. The location is…
y=mx+b where m is the slope and b is the point where the y ax…
Slope
Measure of steepness of a line can be positive, negative, zer…
x-intercept
Location where a function crosses the x axis. The location is…
15 terms
College Algebra Chapter 2
What is the difference quotient?
Define domain
Define range
Define a function
DQ = [f(x+h) - f(x)] / h
The x-values a relation can have. Ask yourself 2 questions: 1…
The y-values a relation can have.
A relation whose graph passes a vertical line test.... Each x is…
What is the difference quotient?
DQ = [f(x+h) - f(x)] / h
Define domain
The x-values a relation can have. Ask yourself 2 questions: 1…
13 terms
algebra chapter 2 vocab
dimensional analysis
equivalent equation
formula
identity
the process of carrying units throughtoit a computation
equation that has 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 throughtoit a computation
equivalent equation
equation that has the same solution
38 terms
Algebra 2 Chapter 2 Vocabulary
absolute value function
axis of symmetry
boundary
constant of variation
a function of the form f(x) = |mx + b| + c, where m does not…
a line that divides a figure into two parts that are mirror i…
a line in the cordinate plane that separated the solutions of…
the ratios of the two variables in a direct variation and the…
absolute value function
a function of the form f(x) = |mx + b| + c, where m does not…
axis of symmetry
a line that divides a figure into two parts that are mirror i…
26 terms
Chapter 2 Algebra Vocab
relation
domain
range
function
any pairing of input and output values
the set of all input (x) values
the set of all output (y) values
a relation where every input has exactly one output
relation
any pairing of input and output values
domain
the set of all input (x) values
39 terms
Algebra 2 Chapter 2 Problems
-7
1
70
-1/7
If f(x) = x - 11, find f(4)
If f(x) = | x | - 5, find f(-6)
If f(x) = 9x³ - x² + 2, find f(2)
Find the slope of the line that passes through (3, 2) and (-4…
-7
If f(x) = x - 11, find f(4)
1
If f(x) = | x | - 5, find f(-6)
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
Chapter 2 Algebra 2C Vocab
One to one function
Discrete function
Continuous function
Vertical line test
Each element of the domain pairs to exactly 1 unique element…
A graph where the points are not connected(set of ordered pai…
When the domain of a relation has an infinite number of eleme…
If a vertical line can be drawn such that the graph is inters…
One to one function
Each element of the domain pairs to exactly 1 unique element…
Discrete function
A graph where the points are not connected(set of ordered pai…
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…
24 terms
Algebra Chapter 2 Review
3
-8
-4
Find the y-intercept: y = -2x + 3
Find the slope: y = -½x + 3
Find the x-intercept: 2x + 3y = -16
What is the slope of the line that is perpendicular to y = ¼x…
3
Find the y-intercept: y = -2x + 3
Find the slope: y = -½x + 3
15 terms
Algebra Chapter 2
Whole numbers
Integers
Rational Numbers
Opposites
1 2 3 4 5...
-3 -2 -1 0 1 2 3...
A number that can be written as a/b where a and b are integer…
Two numbers that are the same distance from zero on the numbe…
Whole numbers
1 2 3 4 5...
Integers
-3 -2 -1 0 1 2 3...
21 terms
Algebra Chapter 2
real numbers
real number line
origin
negative numbers
the set of numbers consisting of the positive numbers, negati…
a line that pictures real numbers as points
the point labeled zero of a number line
any of the numbers less than zero
real numbers
the set of numbers consisting of the positive numbers, negati…
real number line
a line that pictures real numbers as points
11 terms
Algebra Chapter 2 Vocabulary
Vertical angles
Linear Equation
Solution
Solve
angles formed by intersecting lines; across from each other;…
Equation whose graph is a line;degree 1 equation
the number that makes the equation true
isolated the variable
Vertical angles
angles formed by intersecting lines; across from each other;…
Linear Equation
Equation whose graph is a line;degree 1 equation
34 terms
Algebra 1A Chapter 2 Vocab
Identity Property of Addition
Additive Inverse
Inverse Property of Addition
Matrix
n + 0 = n
The opposite of a number
n + (-n) = 0
A rectangular arrangement of numbers in rows and columns
Identity Property of Addition
n + 0 = n
Additive Inverse
The opposite of a number
46 terms
Algebra II- Chapter 2 Vocab
equation
solution set of an equation
linear equation in one variable
√x or x² or 1/x
a mathematical statement that two expressions are equivalent
the value or values of the variable that makes the equation t…
can be written in the form ax=b where a and b are constants a…
a variable in a linear equations is not _______
equation
a mathematical statement that two expressions are equivalent
solution set of an equation
the value or values of the variable that makes the equation t…
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
a rule for the relationship between cetain quantities
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
18 terms
Algebra Vocab (Chapter 2)
absolute value function
bivariate data
continuous relation
dependent variable
a function that contains an algebraic expression within absol…
data consisting of pairs of values
a relation in which the domain is a set of individual points
the other variable in a function, usually y, whose values dep…
absolute value function
a function that contains an algebraic expression within absol…
bivariate data
data consisting of pairs of values
13 terms
Algebra 2 Chapter 2
relation
Function
onto function
one-to-one function
a connection between numbers or things... -a set of ordered pairs
a special kind of relation... an equation where if any x is plug…
if every y is connected to an x- can't have one or more lefto…
if every x goes to a different y... -each y has a corresponding…
relation
a connection between numbers or things... -a set of ordered pairs
Function
a special kind of relation... an equation where if any x is plug…
18 terms
Sorozak Algebra 2 Chapter 2
Quadratic Function
Parabola
Vertex of Parabola
Vertex form of Quadratic
Function that can be written in the form f(x)=a(x-h)²+k or f(…
U-shaped curve of quadratic function graph
Highest or lowest point of a parabola; (h, k)
f(x)=a(x-h)²+k
Quadratic Function
Function that can be written in the form f(x)=a(x-h)²+k or f(…
Parabola
U-shaped curve of quadratic function graph
24 terms
Algebra 2 Chapter 2
quadratic function
parabola
vertex of a parabola
vertex form
a function that can be written in the form f(x) = ax2+bx+c, w…
the graph of a quadratic function
the lowest or highest point on a parabola
y=a(x-h)^2+k
quadratic function
a function that can be written in the form f(x) = ax2+bx+c, w…
parabola
the graph of a quadratic function
19 terms
Algebra II Chapter 2 Linear Relations and Functions Vocabulary
one-to-one function
onto function
discrete relation
continuous relation
A function where each element of the range is paired with exa…
Each element of the range corresponds to an element of the do…
A relation in which the domain is a set of individual points.
A relation that can be graphed with a line or smooth curve.
one-to-one function
A function where each element of the range is paired with exa…
onto function
Each element of the range corresponds to an element of the do…
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…
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