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Study sets matching "algebra ii honors chapter 3"

8 terms
Algebra 2 - Chapter 3
equivalent systems
feasible region
linear system
matrix
two or more function systems with exactly the same solutions.
the set of ordered pairs that satisfy a system of inequalities.
a group of two or more linear equations that have the same va…
a rectangular arrangement of numbers within brackets.
equivalent systems
two or more function systems with exactly the same solutions.
feasible region
the set of ordered pairs that satisfy a system of inequalities.
9 terms
Honors Algebra 2 CHAPTER 3
consistent
inconsistent
independent
dependent
1 or more solution
no solutions
1 solution
infinite solution
consistent
1 or more solution
inconsistent
no solutions
8 terms
Algebra 2 Honors/IB Chapter 3 Vocabulary
system of equations
consistent
inconsistent
independent
two or more equations with the same variables
a system of equations that has at least one solution
a system of equation that has no solutions
a consistent system that has exactly one solution
system of equations
two or more equations with the same variables
consistent
a system of equations that has at least one solution
22 terms
Algebra 2 Honors Chapter 3 Vocab
system of 2 linear equatons
solution of a system
substitution method
elimination method
A system consisting of two equations that can be written in t…
An ordered pair (x,y) that satisfies each equation of the sys…
A method of solving a system of equations by solving one of t…
A method of solving a system of equations by multiplying equa…
system of 2 linear equatons
A system consisting of two equations that can be written in t…
solution of a system
An ordered pair (x,y) that satisfies each equation of the sys…
21 terms
Algebra 2 Honors Chapter 3 Vocabulary
system of two linear eqautions
solution of a system
substitution method
elimination method
a system consisting of two equations that can be written in t…
an ordered pair (x,y) that satisfies each equation of the sys…
a method of solving a system of equations by solving one of t…
a method of solving a system of equations by multiplying equa…
system of two linear eqautions
a system consisting of two equations that can be written in t…
solution of a system
an ordered pair (x,y) that satisfies each equation of the sys…
22 terms
Algebra 2 Honors- Chapter 3 Vocab
system of two linear equations
Solution of a System
Substitution method
Elimination Method
a system of two equations that can be written in the form Ax+…
an ordered pair (x, y) that satisfies each equation of the sy…
a method of solving a system of equations by solving one of t…
a method of solving a system of equations by multiplying equa…
system of two linear equations
a system of two equations that can be written in the form Ax+…
Solution of a System
an ordered pair (x, y) that satisfies each equation of the sy…
20 terms
Algebra 2 Chapter 3
absolute value
counterexample
independent system
vertices
a number's distance from zero on the number line
a specific case that shows that a statement is false
a system of equations that has exactly one solution
the maximum or minimum values that a linear function has for…
absolute value
a number's distance from zero on the number line
counterexample
a specific case that shows that a statement is false
28 terms
Honors Algebra: Chapter 3
Solution
Inconsistant
Consistant
Consistent and Independent
The ordered pair that satisfies each equation in the system
A system with no solution, if the lines are parallel
A system with at least one solution
A system with exactly one solution
Solution
The ordered pair that satisfies each equation in the system
Inconsistant
A system with no solution, if the lines are parallel
10 terms
Honors Algebra II Chapter 3.1-3.2 Review
f(x) = -3x -1
f(x) = 3
f(x) = x
f(x) = x^2
Linear Function
Constant Function
Identity Function
Square Function
f(x) = -3x -1
Linear Function
f(x) = 3
Constant Function
20 terms
Honors Algebra II- Chapter 3 Vocabulary
linear programming... constraints
boundary lines
consistent independent
inconsistent
a method of finding a minimum or maximum value that satisfies…
When graphing an inequality in two variables, the ______ ____…
If the equations in a system have different slopes the system…
If the equations in a system have equal slopes and equal y-in…
linear programming... constraints
a method of finding a minimum or maximum value that satisfies…
boundary lines
When graphing an inequality in two variables, the ______ ____…
Algebra II Honors: Chapter 3 vocabulary
System of two linear equations
Consistent system
Inconsistent system
Independent system
A system consisting of two equations that can be written in t…
A system of equations that has at least one solution.
A system of equations that has no solution.
A consistent system that has exactly one solution.
System of two linear equations
A system consisting of two equations that can be written in t…
Consistent system
A system of equations that has at least one solution.
12 terms
Honors Algebra chapter 3
Equation for arithmetic sequence
what makes an equation linear?
What is standard form?
When solving for the x intercept what…
an = a + (n - 1) d... a = first term in sequence... d = common diff…
No exponents higher than 1 ... No multiplication or division of…
Ax + By = C
y = 0
Equation for arithmetic sequence
an = a + (n - 1) d... a = first term in sequence... d = common diff…
what makes an equation linear?
No exponents higher than 1 ... No multiplication or division of…
14 terms
Algebra Honors Chapter 3
relation
domain
range
How do you find domain?
set of ordered pairs
set of x-values
set of y-values
scan pencil left to right across the x-axis
relation
set of ordered pairs
domain
set of x-values
13 terms
Big Ideas Algebra 2 Chapter 3
root of an equation
zero of a function
Complex Number
Imaginary Number
A solution of an equation. ... Ex. The roots of x²-x-6 = 0 are x…
An x-value of a function f for which f(x) = 0. ... Ex: The zeroe…
A number written in the form a + bi, where a and b are real n…
A number written in the form a + bi, where a and b are real n…
root of an equation
A solution of an equation. ... Ex. The roots of x²-x-6 = 0 are x…
zero of a function
An x-value of a function f for which f(x) = 0. ... Ex: The zeroe…
16 terms
Honors Algebra II Chapter 3 Vocab
Elimination method
System of equations
Dependent
Bounded
Eliminate one of the variable in a system of equations by add…
A set of equation with the same variables
When a system of linear equations has an infinite number of s…
A region is _____ when the graph of a system of constraints i…
Elimination method
Eliminate one of the variable in a system of equations by add…
System of equations
A set of equation with the same variables
48 terms
Algebra 2 Honors
polynomials
square a number
first difference
second difference
an expression of more than 2 algebraic terms.
...to multiply a number by itself or to raise it to the power…
Values obtained by subtracting each term in a sequence from i…
Differences that are found by subtracting consecutive first d…
polynomials
an expression of more than 2 algebraic terms.
square a number
...to multiply a number by itself or to raise it to the power…
10 terms
Algebra 2 honors chapter 3 test
System of equations
Linear system
Solution of a system
Consistent
Two or more related unknowns as a set of two or more equations
Consists of linear equations
A set of values for the variables that makes all the equation…
Dependent or independent answers
System of equations
Two or more related unknowns as a set of two or more equations
Linear system
Consists of linear equations
21 terms
Honors Algebra 2 Sem 1 Chapter 3 Vocab
Bounded
Coefficient matrix
Constant matrix
Cramer's Rule
Enclosed
Matrix that contains only the coefficients
Matrix that contains only constants
Uses the coefficient matrix
Bounded
Enclosed
Coefficient matrix
Matrix that contains only the coefficients
16 terms
Chapter 3 Algebra Honors Vocab
Arithmetic Sequence
Common Difference
Constant
Constant of Variation
A numerical pattern that increases or decreases at a constant…
The difference between the terms in an arithmetic sequence.
A monomial that is a real number.
The number K in equations of the form y=Kx
Arithmetic Sequence
A numerical pattern that increases or decreases at a constant…
Common Difference
The difference between the terms in an arithmetic sequence.
8 terms
Algebra 2 ~ Chapter 3
dependent system
equivalent system
independent system
linear system
a system of equations that has infinitely many solutions. (p.…
when you multiply each side of an equation in a system by the…
a system of equations that has exactly one solution. (p. 137)
system of equations containing only linear equations. (p. 134)
dependent system
a system of equations that has infinitely many solutions. (p.…
equivalent system
when you multiply each side of an equation in a system by the…
17 terms
Algebra 1 Honors Chapter 3
Relation
Function
Input
Output
A set of ordered pairs. Inputs can have different outputs (1…
A relation where every input has ONLY 1 unique output, but di…
X, domain, independent variables
Y, range, dependent variables
Relation
A set of ordered pairs. Inputs can have different outputs (1…
Function
A relation where every input has ONLY 1 unique output, but di…
38 terms
Honors Algebra II/Trig Chapter 3 Diestelkamp
Complex number
Imaginary unit i
Complex numbers
Includes the set of real numbers as a subset and has i as a b…
√-1
-1
Numbers in the form a + bi, where a and b are real numbers
Complex number
Includes the set of real numbers as a subset and has i as a b…
Imaginary unit i
√-1
9 terms
pre-algebra honors - chapter 3
terminating decimal
repeating decimal
bar notation
rational number
when the division ends with a remainder of zero
when the division repeats a pattern without end
a bar that is placed over the digit(s) that repeat
any number that can be written as a fraction (ratio)
terminating decimal
when the division ends with a remainder of zero
repeating decimal
when the division repeats a pattern without end
10 terms
Algebra 2 Chapter 3
System of Equations
Linear System
Solution of a System
Consistent System
a set of 2 or more equations
a system with linear equations
the set of values of the variable that makes all of the equat…
a system with at least one solution
System of Equations
a set of 2 or more equations
Linear System
a system with linear equations
18 terms
Honors Algebra II Chapter 3 Vocabulary
Term
Literal Factors
Numerical Coefficient
Monomial
the product of letters, numbers, or both
the variable(s) in the term... In the monomial 7xy, the answer w…
the number that is a factor... In the monomial 7xy, the answer w…
A term with only whole numbers as exponents... Ex: 7xy, x(cubed)…
Term
the product of letters, numbers, or both
Literal Factors
the variable(s) in the term... In the monomial 7xy, the answer w…
18 terms
Algebra 1 Honors: Chapter 3 Vocabulary
inverse operation
equivalent equations
like terms
input
2 operations that undo each other: addition and subtraction,…
equations that have the same solution
expressions that contain the same variables to the same power
the x value, the domain
inverse operation
2 operations that undo each other: addition and subtraction,…
equivalent equations
equations that have the same solution
13 terms
Honors Algebra II Chapter 3 Test Vocab
Constraints
Coordinate space
Dependent system
Equivalent system
Limits on the variables in the objective function in a linear…
Created by adding a third axis, the Z-access, to the XY-coord…
A system of equations that does not have a unique solution
Systems that have the same solutions
Constraints
Limits on the variables in the objective function in a linear…
Coordinate space
Created by adding a third axis, the Z-access, to the XY-coord…
Algebra 1 Honors Chapter 3 Vocabulary
linear equation
standard form
x-intercept
y-intercept
an equation that forms a line when it is graphed
Ax + By = C... "C" is called the constant. Ax + By are the varia…
the x coordinate of the point at which the graph of the equat…
the y coordinate of the point at which the graph of the equat…
linear equation
an equation that forms a line when it is graphed
standard form
Ax + By = C... "C" is called the constant. Ax + By are the varia…
9 terms
Honors Algebra II chapter 3 vocab
system of equations
linear system
consistent system
inconsistent system
a set of two or more equations that have two or more variables
a system of equations containing only linear equations
a system of equations or inequalities that has at least one s…
a system of equations or inequalities that has no solution
system of equations
a set of two or more equations that have two or more variables
linear system
a system of equations containing only linear equations
11 terms
Algebra 2 Chapter 3
inverse relation
simplest radical form
radical equation
index
a relation that interchanges the input and output values of t…
a radical with index n is in simplest form if the radicand ha…
an equation with one or more radicals that have variable in t…
for an integer n greater than 1, if b^n=a, then b is an nth r…
inverse relation
a relation that interchanges the input and output values of t…
simplest radical form
a radical with index n is in simplest form if the radicand ha…
30 terms
Algebra II Chapter 3
System of Two Linear Equations
Solution
Consistent System
Inconsistent Solution
Consists of two equations that can be written as:... Ax + By = C…
An ordered pair (x,y) that satisfies each equation in the sys…
A system that has at least one solution.
A system that has no solutions.
System of Two Linear Equations
Consists of two equations that can be written as:... Ax + By = C…
Solution
An ordered pair (x,y) that satisfies each equation in the sys…
20 terms
Algebra 1 Honors - Chapter 3 Vocabulary
sequence
terms of the sequence
arithmetic sequence
common difference
a set of numbers in a specific order
the numbers of the sequence
a sequence where the difference between the successive terms…
the constant from the arithmetic sequence
sequence
a set of numbers in a specific order
terms of the sequence
the numbers of the sequence
27 terms
Honors Algebra II - 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…
20 terms
Algebra 2, Chapter 3
Systems of linear equations
Solution
Consistent
Inconsistent
2 or more linear equations
for linear equations, point where graphs intersect
system that has at least one solution
system that has no solution
Systems of linear equations
2 or more linear equations
Solution
for linear equations, point where graphs intersect
18 terms
Algebra 1 Honors: Chapter 3 Vocabulary
inverse operation
equivalent equations
like terms
input
2 operations that undo each other: addition and subtraction,…
equations that have the same solution
expressions that contain the same variables to the same power
the x value, the domain
inverse operation
2 operations that undo each other: addition and subtraction,…
equivalent equations
equations that have the same solution
Algebra 2 - Chapter 3
equivalent systems
feasible region
linear system
matrix
two or more function systems with exactly the same solutions.
the set of ordered pairs that satisfy a system of inequalities.
a group of two or more linear equations that have the same va…
a rectangular arrangement of numbers within brackets.
equivalent systems
two or more function systems with exactly the same solutions.
feasible region
the set of ordered pairs that satisfy a system of inequalities.
27 terms
Algebra 2 Chapter 3
Systems of linear equations
Solution
Consistent
Inconsistent
2 or more linear equations
for systems of equations, the point where graphs intersect
system that has at least one solution
system that has no solution
Systems of linear equations
2 or more linear equations
Solution
for systems of equations, the point where graphs intersect
17 terms
Algebra 2 Chapter 3
systems of equations
linear system
solution of a system
inconsistent system
a set of two or more equations using the same variables
a set of two or more equations using the same variables
a set of values for the variables that makes all the equation…
a type of system that has not solution(they do not touch)
systems of equations
a set of two or more equations using the same variables
linear system
a set of two or more equations using the same variables
25 terms
Algebra 2 Chapter 3 Vocabulary
bounded
break-even point
coefficient matrix
consistent
a region is ______ when the graph of a system of constraints…
the point at which the income equals the cost
a matrix that contains only the coefficient of a system of eq…
a system of equations that has at least one ordered pair that…
bounded
a region is ______ when the graph of a system of constraints…
break-even point
the point at which the income equals the cost
37 terms
Algebra 2 Honors
polynomials
square a number
first difference
second difference
an expression of more than 2 algebraic terms.
...to multiply a number by itself or to raise it to the power…
Values obtained by subtracting each term in a sequence from i…
Differences that are found by subtracting consecutive first d…
polynomials
an expression of more than 2 algebraic terms.
square a number
...to multiply a number by itself or to raise it to the power…
16 terms
Algebra 1 Honors Chapter 3 Vocab
Inverse Operations
Equivalent Equations
Reciprocal
Like Terms
two operations that undo each other, such as addition and sub…
equations that have the same solution(s)
two nonzero numbers who's product is one
terms that have the same variable parts
Inverse Operations
two operations that undo each other, such as addition and sub…
Equivalent Equations
equations that have the same solution(s)
21 terms
Algebra 2 Chapter 3
Consistent system
Constraint
Dependent system
Equivalent system
A system of linear equations that has at least one solution
restrictions on the variables of the objective function in a…
A system of equations that does not have a unique solution is…
Systems that have the same solutions
Consistent system
A system of linear equations that has at least one solution
Constraint
restrictions on the variables of the objective function in a…
45 terms
Algebra Chapter 3.2
f(x)= mx+b
linear domain
linear range
linear
linear
All reals
all reals
f(x)= mx+b
linear
linear domain
All reals
8 terms
Honors Algebra 2: Chapter 1 Vocabulary
Chapter 1 (p. 6, 1-1)... ELEMENT
Chapter 1 (p. 45, 1-6)... FUNCTION
Chapter 1 (p. 67, 1-9)... PARENT FUNCT…
Chapter 1 (p. 21, 1-3)... RADICAL SYMBOL
Chapter 1 (p. 6, 1-1)... ELEMENT
Chapter 1 (p. 45, 1-6)... FUNCTION
22 terms
Honors Algebra 2 Chapter 1
y=x²
-b/2a
Quadratic Function
Parabola
Parent function of quadratic functions
Equation to find vertex
A function that can be written in standard form
The graph of a quadratic function
y=x²
Parent function of quadratic functions
-b/2a
Equation to find vertex
25 terms
Algebra 2 Chapter 3 Vocabulary
bounded
break-even point
coefficient matrix
consistent
...
...
...
...
bounded
...
break-even point
...
8 terms
Chapter 3 test honors geometry/algebra II
Parallel lines
Skew lines
Parallel planes
Alternate interior angles
Coplanar lines that do not intersect. The symbol II means this.
Non-coplanar; they are not parallel and do not intersect.
Planes that do not intersect.
Nonadjacent interior angles that lie on opposite sides of the…
Parallel lines
Coplanar lines that do not intersect. The symbol II means this.
Skew lines
Non-coplanar; they are not parallel and do not intersect.
21 terms
Algebra 2 Chapter 3
Consistent system
System
Subcategories of Consistent
Dependent system
system with at least one solution
2 or more equations with same set of unknowns
Dependent... independent
infinitely many solutions
Consistent system
system with at least one solution
System
2 or more equations with same set of unknowns
9 terms
Algebra 2 Chapter 3
Consistent Independent
Consistent Dependent
Inconsistent
Graphing to solve a system
"1 solution"... Slopes are different
"infinitely many solutions"... Same slope and y intercept
"No solution"... Same slope different y intercept
Graph the equations and the answer is where the two lines int…
Consistent Independent
"1 solution"... Slopes are different
Consistent Dependent
"infinitely many solutions"... Same slope and y intercept
13 terms
Chapter 3 Algebra 2
system of equations
solution of a system
consistent system
inconsistent system
a set of 2 or more equations
a set of values for the variables that makes all the equation…
has at least one solution
has no solution
system of equations
a set of 2 or more equations
solution of a system
a set of values for the variables that makes all the equation…
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