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Study sets matching "honors algebra iii differental calculous"

26 terms
Honors Algebra II: Functions, Formulas, Calculator
describe the parent function of a line…
describe the parent function of a abso…
what is the direct variation formula
how do you find x intercept and y inte…
y=x
y= /x/
y=kx or k- y/x
set the other to zero. For example if trying to find x interc…
describe the parent function of a line…
y=x
describe the parent function of a abso…
y= /x/
12 terms
Algebra Honors 3/4
Algebraic Expression
Coefficient
Compound Inequality
Compound Statement
An expression that contains at least one variable.
A number that is multiplied by a variable.
Two inequalities that are combined into one statement by the…
Two statements that are connected by the word and or or.
Algebraic Expression
An expression that contains at least one variable.
Coefficient
A number that is multiplied by a variable.
9 terms
Honors Algebra 1.3
Natural Numbers
Whole Numbers
Integers
Rational Numbers
1,2,3,4... (not 0)
0,1,2,3,4...
-3,-2,-1,0,1,2,3...
Fractions and Mixed Numbers (all terminating and repeating)
Natural Numbers
1,2,3,4... (not 0)
Whole Numbers
0,1,2,3,4...
9 terms
Honors 3/4 algebra
Sine
Cosine
Tangent
Cosecant
y
x
y/x
1/y
Sine
y
Cosine
x
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
9 terms
Unit 3 algebra honors
X-intercept
Slope-intercept form
Direct variation
Quadrant
The x-coordinate of a point where a graph crosses the x-axis
A linear equation written in the form y=mx+b where m is the s…
The relationship of two variables x and y if there is a nonze…
The four regions into which the coordinate plane is divided b…
X-intercept
The x-coordinate of a point where a graph crosses the x-axis
Slope-intercept form
A linear equation written in the form y=mx+b where m is the s…
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
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…
Algebra Honors Ch. 3 Vocab
Roster form
Set builder notation
Empty set
Compound inequality
Multiples of 2: {2, 4, 6, 8,.....}
{x| x is a multiple of 2}
{ }
Consists of 2 distinct inequalities joined by AND or OR
Roster form
Multiples of 2: {2, 4, 6, 8,.....}
Set builder notation
{x| x is a multiple of 2}
19 terms
Honors Advanced Algebra-- CH. 3
Distance Formula
Midpoint
Slope
Circle Equation
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
(X1+X2)/2 AND (Y1+Y2)/2
y₂-y₁/x₂-x₁
(x-h)^2 + (y-k)^2 = r^2
Distance Formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Midpoint
(X1+X2)/2 AND (Y1+Y2)/2
23 terms
Honors Algebra II Unit 3
Lesson 1 Objectives
explicit formula
recursive formula
sequence
1. Identify mathematical patterns found in a sequence... 2. Use…
A formula that expresses the nth term of a sequence in terms…
A formula that defines the terms in a sequence by relating ea…
An ordered list of numbers.
Lesson 1 Objectives
1. Identify mathematical patterns found in a sequence... 2. Use…
explicit formula
A formula that expresses the nth term of a sequence in terms…
15 terms
Unit 3 Honors Algebra 2
Circle
Absolute Value
Hyperbola
Cubic
(x-h)^2 + (y-k)^2 = r^2... (-h, -k)
y = a | x-h | + k... (h, k)
y = a (1/(x-h)) + k... (-h, k)
y = a (x-h)^3 + k... (h, k)
Circle
(x-h)^2 + (y-k)^2 = r^2... (-h, -k)
Absolute Value
y = a | x-h | + k... (h, k)
16 terms
Algebra Honors Ch.3 Vocabulary
Equivalent equations
Inverse operation
Solution step
Linear equation in one variable
Equations with the same solutions as the original equation ar…
Operations that undo each other such as addition and subtract…
The result of applying a transformation to an equation when s…
An equation in which the variable is raised to the first powe…
Equivalent equations
Equations with the same solutions as the original equation ar…
Inverse operation
Operations that undo each other such as addition and subtract…
11 terms
Unit 3 Honors Algebra Terms
Relation
Domain
Rnage
Function
A pair of data w/ no special rules - set of ordered pairs
Set of all inputs, independent values
Set of all outputs, dependent values
A relation for which every value from the set of allowable in…
Relation
A pair of data w/ no special rules - set of ordered pairs
Domain
Set of all inputs, independent values
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…
25 terms
(algebra honors) ch 3 vocab
relation
inputs
function
graph of a function
pairs inputs witth outputs
x-coordinates
a relation that pairs each input with one output
when no vertical line passes through more that one point on a…
relation
pairs inputs witth outputs
inputs
x-coordinates
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.
10 terms
2.3 Algebra II Honors
What are the zeros of a function
What direction is increasing on a graph
What direction is decreasing on a graph
We say that a function f is increasing…
x intercepts
Northwest
southeast
For any x1 < x2, then f(x1) < f(x2)
What are the zeros of a function
x intercepts
What direction is increasing on a graph
Northwest
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
12 terms
Algebra 3 Honors Unit 2
How can you tell if a function is even?
How can you tell if a function is odd?
What is the formula for a translation…
What is the formula for a translation…
A function is even if f(x)=f(-x)
A function is odd if f(x)=-f(-x)
y=f(x-c)
y=f(x+c)
How can you tell if a function is even?
A function is even if f(x)=f(-x)
How can you tell if a function is odd?
A function is odd if f(x)=-f(-x)
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 1 Honors: Lesson 1.3 Graphs
Function
Function rule
Domain
Range
A relation where each input has exactly one output; no two x-…
An equation that describes a function
The set of input values (x-coordinate) of a function.
The set of output (y-coordinate)values of a function.
Function
A relation where each input has exactly one output; no two x-…
Function rule
An equation that describes a function
8 terms
Honors Algebra test 3:3-3:5
Identity equation
What is that sign for identity solutions
No Solution Equation
What is the sign for a no solution equ…
An equation in which all real number are soluyions
"All Real Numbers"
An equation in which none of the real numbers are a solution.
"No Real Solution"
Identity equation
An equation in which all real number are soluyions
What is that sign for identity solutions
"All Real Numbers"
49 terms
Honors Algebra 2 Unit 3!!
What is a system of equations?
What is a linear system?
What can you do with systems?
How do you test to see if a point work…
A set of two or more equations
A set with lines (system with lines)
1) See if points work as a solution... 2) Solve systems using a…
You substitute the X and Y values into both equations and sol…
What is a system of equations?
A set of two or more equations
What is a linear system?
A set with lines (system with lines)
12 terms
Section 9.3 Algebra 1 Honors
Transformation
Translation
Dialation
Reflection
Changes the position or size of a figure.
Moves a figure up, down, left or right.
Makes the graph narrower than the parent graph or wider than…
Flips a figure across a line.
Transformation
Changes the position or size of a figure.
Translation
Moves a figure up, down, left or right.
25 terms
Honors Algebra 2: Unit 3 Vocab
Binomial Theorem
Complex Conjuate
Complex Numbers
Conjugate Zeros Theorem
For any binomial (a+b) and any positive integer n, ... (a+b)^n =…
Complex numbers with the same digits, but different signs.... Ex…
Includes imaginary numbers, real numbers, irrational numbers,…
If P(x) is a polynomial with real coefficients and if a +bi (…
Binomial Theorem
For any binomial (a+b) and any positive integer n, ... (a+b)^n =…
Complex Conjuate
Complex numbers with the same digits, but different signs.... Ex…
23 terms
Algebra 2 Honors Unit 3 Quadratic
Axis of Symmetry
Complex Conjugates
Complex Number
Completing the Square
A line through a shape so that each side is a mirror image. W…
Each of two complex numbers having their real parts identical…
A number that can be expressed in the form a + bi, where a an…
A technique used to solve quadratic equations, graph quadrati…
Axis of Symmetry
A line through a shape so that each side is a mirror image. W…
Complex Conjugates
Each of two complex numbers having their real parts identical…
30 terms
Honors Algebra 2 Unit 3 - Linear Systems and Matrices
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…
10 terms
Honors Algebra Quiz: 6.1-6.3
negative exponents
product of powers
quotient of powers
power of a power
move term to denominator
add exponents if bases are the same
subtract exponents if bases are the same
multiply the exponents together
negative exponents
move term to denominator
product of powers
add exponents if bases are the same
30 terms
Algebra 1 Honors Vocabulary : Topic 3
Continuous Function
Coordinate Plane
Discrete Function
Family of Functions
A function who's graph is an unbroken line or curve with no g…
A plane that is divided into four planes by a horizontal line…
A function who's graph is made up of unconnected points
A set of functions who's graphs have basic characteristics in…
Continuous Function
A function who's graph is an unbroken line or curve with no g…
Coordinate Plane
A plane that is divided into four planes by a horizontal line…
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 ______ ____…
11 terms
honors algebra 2- ch. 3 vocab
general form of quadratic functions
formula to find line of symmetry
point where line of symmetry and parab…
a>0, opens upward
ax²+bx+c
-b/2a
vertex
minimum vertex
general form of quadratic functions
ax²+bx+c
formula to find line of symmetry
-b/2a
23 terms
Algebra 3 Trigonometry Honors Chapter 5 Vocabulary
Ray
Angle
Initial Side
Terminal Side
a part of a line that has only one endpoint and extends forev…
formed by two rays that have a common endpoint
one ray of an angle (x-axis)
other ray of an angle
Ray
a part of a line that has only one endpoint and extends forev…
Angle
formed by two rays that have a common endpoint
21 terms
Algebra I Honors Vocabulary: Topic 3.
Compound Inequality:
Cross Products (of a Proportion):
Equation:
Equivalent Equations:
Two inequalities that are joined by and or "or"... Example: 5 <…
In a proportion a/b = c/d, the products ad and bc. These prod…
A mathematical sentence that uses an equal sign.... Example: x+5…
Equations that have the same solution.... Example: 9/3=3 and 9/3…
Compound Inequality:
Two inequalities that are joined by and or "or"... Example: 5 <…
Cross Products (of a Proportion):
In a proportion a/b = c/d, the products ad and bc. These prod…
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.
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…
11 terms
honors algebra 1.3 properties of real numbers
reflexive property
symmetric property
transitive property
substitution property
a=a ex: 2/3=2/3 anything is congruent to itself
if a=b, b=a
if a=b and b=c, then a=c
if a=b then b may be substituted for a in any expression
reflexive property
a=a ex: 2/3=2/3 anything is congruent to itself
symmetric property
if a=b, b=a
17 terms
Algebra 1 Honors Chap. 3 Vocab
Linear Equation
Standard Form
Linear Function
Parent Function
An equation that forms a line when it is graphed
(Ax + By = C) A≥0, Both A & B ≠ 0, A-B-C have to be integers,…
Function whose graph is a line
f(x)=x
Linear Equation
An equation that forms a line when it is graphed
Standard Form
(Ax + By = C) A≥0, Both A & B ≠ 0, A-B-C have to be integers,…
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
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
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
17 terms
Honors Algebra II 3.1 polynomials
term
literal factors
numerical coefficient
monomial
the product of letters, numbers, or both
the variables in the term
the number that is a factor
a term with only whole numbers are exponents
term
the product of letters, numbers, or both
literal factors
the variables in the term
17 terms
Honors Algebra II 3.1 Vocabulary
term
literal factors
numerical coefficient
monomial
the product of letters, numbers, or both ... 3... x... -17ab^2c^3d^5
the variables in the term... 7xy LF= x & y
the number that is a factor... 7xy NC=7... x^2y^3 NC=1
a term with only whole numbers as exponents... 7xy... x^2y^3
term
the product of letters, numbers, or both ... 3... x... -17ab^2c^3d^5
literal factors
the variables in the term... 7xy LF= x & y
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…
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
25 terms
Algebra II Honors 1.1-1.3
Constants
Variable quantities
Variable
Numerical expression
quantities whose numbers do not change
quantities whose values change or vary
a symbol that represents on or more numbers
a mathematical phrase that contains numbers and operation sym…
Constants
quantities whose numbers do not change
Variable quantities
quantities whose values change or vary
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 6.3 Terms
Monomial
Terms
Coefficient
Degree
A number, a variable, or a product of numbers and variables w…
The parts of an expresion that are seperated by addition.
A constant in the beginning of each term.
The sum you get from the exponents of the variables. A consta…
Monomial
A number, a variable, or a product of numbers and variables w…
Terms
The parts of an expresion that are seperated by addition.
16 terms
Algebra 1 Honors Chap. 3 Vocab
Linear Equation
Standard Form
Linear Function
Parent Function
An equation that forms a line when it is graphed
(Ax + By = C) A≥0, Both A & B ≠ 0, A-B-C have to be integers,…
Function whose graph is a line
f(x)=x
Linear Equation
An equation that forms a line when it is graphed
Standard Form
(Ax + By = C) A≥0, Both A & B ≠ 0, A-B-C have to be integers,…
6 terms
Algebra 1 Honors Section 3.1 Vocab
Linear Equation
Standard form
Constant
X-intercept
An equation that forms a line when it is graphed
A× + B(y) = C
Number (The C in standard form)
The x-coordinate of the point at which the graph of an equati…
Linear Equation
An equation that forms a line when it is graphed
Standard form
A× + B(y) = C
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