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Study sets matching "term:algebra = solutions"

6 terms
Algebra Solutions
Standard Form
Slope-Intercept
Point-Slope
Standard Form Info
Ax+By=C
y=mx+b
y-y=m(x-x)
Quickest way to find X&Y
Standard Form
Ax+By=C
Slope-Intercept
y=mx+b
13 terms
Algebra 1: Quadratic homework problems and solutions
#3. y=(x-1)(x+3). ... Find the x-interce…
#8. y=(x-2)(x+2). ... Graph, find the ve…
#8. The Graph to the above equation.
#13. y= x^2 -9 (x squared minus 9)... Gr…
#3. y=(x-1)(x+3). ... Find the x-interce…
#8. y=(x-2)(x+2). ... Graph, find the ve…
8 terms
durbin honors algebra II systems and solutions
consistent system
inconsistent system
independent system
dependent system
a system of equations or inequalities that has at least one s…
a system of equations or inequalities that has no solution (s…
a system of equations that has exactly one solution (differen…
a system of equations that has infinitely many solutions (sam…
consistent system
a system of equations or inequalities that has at least one s…
inconsistent system
a system of equations or inequalities that has no solution (s…
10 terms
Algebra 1, Semester 1 (Solution of a system)
Consistent equations
Dependent equations
Equivalent Equation
inconsistent equations
A system of linear equations that contain at least one common…
A system of linear equations that rely on each other for the…
Equations have all common solutions
a system of linear equations that do not have any points
Consistent equations
A system of linear equations that contain at least one common…
Dependent equations
A system of linear equations that rely on each other for the…
Linear Algebra Section 1.5: Solutions of linear systems
When Ax=b has no solution,
Linear system is homogenous if
Is a homogenous solution consistent or…
Trivial solution
the solution set is empty
it is of the form Ax = 0 vector in matrix equation form.
ALWAYS consistent because you can always write down the solut…
x = 0; of Ax = 0
When Ax=b has no solution,
the solution set is empty
Linear system is homogenous if
it is of the form Ax = 0 vector in matrix equation form.
13 terms
Algebra 1: Section 8.5 homework problems and solutions (Part 1- up to Question #50).
#3. y=(x-1)(x+3). ... Find the x-interce…
#8. y=(x-2)(x+2). ... Graph, find the ve…
#8. The Graph to the above equation.
#13. y= x^2 -9 (x squared minus 9)... Gr…
#3. y=(x-1)(x+3). ... Find the x-interce…
#8. y=(x-2)(x+2). ... Graph, find the ve…
Linear Algebra 1.5: Solution Sets of Linear Systems
Homogeneous Solution:
Trivial Solution:
Nontrivial Solution:
[THEOREM] The homogeneous equation Ax…
Ax = 0; 0 is the zero vector.
the zero solution.
a nonzero vector x that satisfies Ax = 0.
the equation has at least one free variable.
Homogeneous Solution:
Ax = 0; 0 is the zero vector.
Trivial Solution:
the zero solution.
8 terms
Algebra 1: Chapter 8.5 homework problems and solutions (from question 50 to 86).
#57. Write the quadratic function repr…
#60. Write the quadratic function repr…
#62. Use zeros to graph the function.…
#68. Use zeros to graph the function.…
#57. Write the quadratic function repr…
#60. Write the quadratic function repr…
37 terms
Algebra
variable
constant
coefficient
exponent
a letter used to represent an unknown quantity
a number
a number written before a variable that tells you how many ti…
tells you how many times to multiply a base by itself
variable
a letter used to represent an unknown quantity
constant
a number
24 terms
Algebra
variables
constant
coefficient
Distribution
x, y, or any letter that can represent a number that changes
a number that has a set value (it is not next to a variable)
a number that is directly next to a variable... A number multipl…
when a number outside parentheses multiples with all the term…
variables
x, y, or any letter that can represent a number that changes
constant
a number that has a set value (it is not next to a variable)
9 terms
Section 6 Algebra
vertex
parabola
quadratic equation
quadratic formula
minimum or maximum of a parabola
the U shape graph of a quadratic equation
ax^2 + bx + c
vertex
minimum or maximum of a parabola
parabola
the U shape graph of a quadratic equation
16 terms
Unit 5 Algebra
Constant of Variation
Non linear
Direct Variation
Midpoint
The slope of a Direct Variation, y=kx, the "K" value
Not a line, can be a curve or a set of line segments.
A line in the form of y=kx, goes through origin, is proportio…
The point separating a line segment into two equal halves.
Constant of Variation
The slope of a Direct Variation, y=kx, the "K" value
Non linear
Not a line, can be a curve or a set of line segments.
63 terms
Algebra2
Commutative
Associative
Inverse
Distributive Property
8 + 3 = 3 + 8
2 + ( 3 + 4 ) = (2 + 3 ) + 4
Opposite
6(3 + 5) = (6 x 3) + (6 x 5)
Commutative
8 + 3 = 3 + 8
Associative
2 + ( 3 + 4 ) = (2 + 3 ) + 4
94 terms
algebra 2
less than
greater than
a^3 + b^3
a^3 - b^3
9<x<8
x>4 or x<-1
(a+b)(a^2 - ab + b^2)
(a-b)(a^2 + ab + b^2)
less than
9<x<8
greater than
x>4 or x<-1
10 terms
Algebra 1 Chapter 3
inverse operation
equivalent equations
reciprocal
like terms
two operations that undo each other; ... addition and subtractio…
equations that have the same solution
two non-zero numbers who product is 1
terms that have the same variable parts
inverse operation
two operations that undo each other; ... addition and subtractio…
equivalent equations
equations that have the same solution
88 terms
Algebra 1
binomial
constant
factor
monomial
a polynomial with two terms
a value that does not change
a number or expression that is multiplied by another number o…
a number or a product of numbers and variables with whole-num…
binomial
a polynomial with two terms
constant
a value that does not change
10 terms
algebra
addition property of equality
algebraic expressions
division property of equality
solutions of a equation inequality
the addition property of equality state that if the same valu…
a algebraic expressions is a mathmatical pharse that uses var…
the equality states that if both sides of an equation are div…
value or values that make an equation or inequality true
addition property of equality
the addition property of equality state that if the same valu…
algebraic expressions
a algebraic expressions is a mathmatical pharse that uses var…
20 terms
Algebra: Chapter 1
variable
Algebraic expression
Numerical expression
power
A symbol, usually a letter, that represents one or more value…
A mathematical phrase that includes one or more variables.
A mathematical phrase involving numbers and operations.
A number that can be expressed using a base and an exponent.
variable
A symbol, usually a letter, that represents one or more value…
Algebraic expression
A mathematical phrase that includes one or more variables.
20 terms
Algebra 1 Vocabulary set 2
cubed
difference
digits
double
cubed
difference
12 terms
Algebra terms
algebraic term
constants
variables
coefficients
either a single number or a variable, or numbers and variable…
the terms in the algebraic expression that contain only numbers
unknown values, often represented by letters
the number part of the terms with variables
algebraic term
either a single number or a variable, or numbers and variable…
constants
the terms in the algebraic expression that contain only numbers
8 terms
Algebra 1 - Chapter 9
axis of symmetry
maximum point
minimum point
parabola
a line that divides a plane figure or a graph into two congru…
the vertex of a parabola that opens downwards.
the vertex of a parabola that opens upwards.
the graph of a quadratic function that forms a U-shaped curve.
axis of symmetry
a line that divides a plane figure or a graph into two congru…
maximum point
the vertex of a parabola that opens downwards.
12 terms
Algebra: Module 1 - Part 2
number sentence
equation
domain
numeric
number sentence
equation
37 terms
Algebra
variable
constant
coefficient
exponent
a letter used to represent an unknown quantity
a number
a number written before a variable that tells you how many ti…
tells you how many times to multiply a base by itself
variable
a letter used to represent an unknown quantity
constant
a number
21 terms
Algebra 2: Chapter 5
Binomial
Coefficient
complex conjugates
complex numbers
A polynomial equation with 2 terms
A number multiplied by a variable in an algebraic expression.
Opposites of your complex number Ex: (a+bi) and (a-bi)
They are often represented as A + Bi.
Binomial
A polynomial equation with 2 terms
Coefficient
A number multiplied by a variable in an algebraic expression.
37 terms
Algebra
variable
constant
coefficient
exponent
a letter used to represent an unknown quantity
a number
a number written before a variable that tells you how many ti…
tells you how many times to multiply a base by itself
variable
a letter used to represent an unknown quantity
constant
a number
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
37 terms
Algebra
variable
constant
coefficient
exponent
a letter used to represent an unknown quantity
a number
a number written before a variable that tells you how many ti…
tells you how many times to multiply a base by itself
variable
a letter used to represent an unknown quantity
constant
a number
24 terms
Algebra
variables
constant
coefficient
Distribution
x, y, or any letter that can represent a number that changes
a number that has a set value (it is not next to a variable)
a number that is directly next to a variable... A number multipl…
when a number outside parentheses multiples with all the term…
variables
x, y, or any letter that can represent a number that changes
constant
a number that has a set value (it is not next to a variable)
Algebra Vocabulary
Absolute Value
Addition
Algebraic Expression
All Real Numbers
The distance a number is from zero on the number line. |-5| = 5
The inverse operation of subtraction
An expression that contains at least one variable... 3x-4 is an…
An equation with a solution x = x
Absolute Value
The distance a number is from zero on the number line. |-5| = 5
Addition
The inverse operation of subtraction
15 terms
Algebra 1 Vocabulary.
Sequence
common difference
least
Greatest
an ordered list of numbers
The difference between the terms in a sequence
smallest
largest
Sequence
an ordered list of numbers
common difference
The difference between the terms in a sequence
16 terms
Algebra1-wk1
Variables
Variables Expression
Unit analysis
Verbal Model
A letter that is used to represent one or more numbers
Variables
A letter that is used to represent one or more numbers
Variables Expression
24 terms
Algebra
variables
constant
coefficient
Distribution
x, y, or any letter that can represent a number that changes
a number that has a set value (it is not next to a variable)
a number that is directly next to a variable... A number multipl…
when a number outside parentheses multiples with all the term…
variables
x, y, or any letter that can represent a number that changes
constant
a number that has a set value (it is not next to a variable)
36 terms
Algebra
variable
constant
coefficient
exponent
a letter used to represent an unknown quantity
a number
a number written before a variable that tells you how many ti…
tells you how many times to multiply a base by itself
variable
a letter used to represent an unknown quantity
constant
a number
24 terms
Algebra
variables
constant
coefficient
Distribution
x, y, or any letter that can represent a number that changes
a number that has a set value (it is not next to a variable)
a number that is directly next to a variable... A number multipl…
when a number outside parentheses multiples with all the term…
variables
x, y, or any letter that can represent a number that changes
constant
a number that has a set value (it is not next to a variable)
22 terms
Algebra 2 Chapter 1
reciprocal
power
exponent
base
multiplicative inverse
expression used to abbreviate repeated multiplication of the…
the number of times the base is multiplied by itself
factor to be multiplied by itself in a power
reciprocal
multiplicative inverse
power
expression used to abbreviate repeated multiplication of the…
Algebra Vocabulary
Absolute Value
Algebraic Expression
All Real Numbers
Equation
The distance a number is from zero on the number line. |-5| = 5
An expression that contains at least one variable... 3x-4 is an…
An equation with a solution x = x
Two expressions set equal to each other
Absolute Value
The distance a number is from zero on the number line. |-5| = 5
Algebraic Expression
An expression that contains at least one variable... 3x-4 is an…
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…
8 terms
Algebra I - Systems of Linear Equations
consistent
dependent
elimination
inconsistent
a system of linear equations that has at least one ordered pa…
a system of linear equations that has an infinite number of s…
the use of addition or subtraction to eliminate one variable…
a system of equations with no ordered pair that satisfies bot…
consistent
a system of linear equations that has at least one ordered pa…
dependent
a system of linear equations that has an infinite number of s…
20 terms
Algebra 2 Chapter 6
axis of symmetry
parabola
square root property
completing the square
a line about which a figure is symmetric
the set of all points in plane that are the same distance fro…
for any real number n, if x squared = n, the x = plus or minu…
a process used to make a quadratic expression into a perfect…
axis of symmetry
a line about which a figure is symmetric
parabola
the set of all points in plane that are the same distance fro…
50 terms
Algebra 1 STAAR EOC
y is a function of x
perimeter
axis of symmetry
no more than
less or equal
y is a function of x
perimeter
11 terms
Algebra 1 - Chapter 3
complement of a set
compound inequality
disjoint sets
empty set
the set of all elements in the universal set that are not in…
two or more inequalities joined together by either "and" or "…
two or more sets that do not have any elements in common. [p.…
a set with no elements. [p. 211]
complement of a set
the set of all elements in the universal set that are not in…
compound inequality
two or more inequalities joined together by either "and" or "…
12 terms
EL Algebra Chapter 8: Quadratics
factoring
term
quadratic
binomial
the process of changing a sum to a product
numbers, letters, or combinations of letters and numbers that…
an expression that can be written in the form ax(x) + bx + c,…
an expression with 2 terms
factoring
the process of changing a sum to a product
term
numbers, letters, or combinations of letters and numbers that…
88 terms
Algebra 1
binomial
constant
factor
monomial
a polynomial with two terms
a value that does not change
a number or expression that is multiplied by another number o…
a number or a product of numbers and variables with whole-num…
binomial
a polynomial with two terms
constant
a value that does not change
12 terms
Algebra Terms
equation
isolate
inverse
balance
mathematical sentence with an equal sign
to make the variable alone on one side of equation
the opposite operation
to do the same to both sides of the equation
equation
mathematical sentence with an equal sign
isolate
to make the variable alone on one side of equation
37 terms
Algebra
variable
constant
coefficient
exponent
a letter used to represent an unknown quantity
a number
a number written before a variable that tells you how many ti…
tells you how many times to multiply a base by itself
variable
a letter used to represent an unknown quantity
constant
a number
8 terms
Algebra Vocabulary
Equation
Expression
Coefficient
Constant
Two expressions that are equal
A number, variable or any combination of these
A number that is being multiplied by a variable
A number
Equation
Two expressions that are equal
Expression
A number, variable or any combination of these
30 terms
Algebra 1 Chapter 1
algebraic expression
base
coefficient
coordinate system
An expression consisting of one or more numbers and variables…
In an expression of the form x^n, it is the x.
The numerical factor of a term.
The grid formed by the intersection of two number lines, the…
algebraic expression
An expression consisting of one or more numbers and variables…
base
In an expression of the form x^n, it is the x.
56 terms
College Algebra Chapter 1 Review
-7
-3/2
12.80
412.80
Solve 8x-9=11x+12
Solve 5(5x+9)=13-(x+7)
Mike borrowed $400 from his brother. He will pay him back in…
Mike borrowed $400 from his brother. He will pay him back in…
-7
Solve 8x-9=11x+12
-3/2
Solve 5(5x+9)=13-(x+7)
21 terms
Algebra 2 Chapter 2 VOCAB
relation
domain
range
function
a set or collection of points
the set of all inputs in a relation
the set of all outputs in a relation
a relation in whom each input has a unique output
relation
a set or collection of points
domain
the set of all inputs in a relation
21 terms
Algebra - Unit 5 & Unit 6
System of Equations
Solution
Linear Combination
Elimination
A system of equations is a collection of two or more equation…
that point of intersection is called the solution to the syst…
Another for Elimination Method of solving systems
In this method you either add or subtract the equations to ge…
System of Equations
A system of equations is a collection of two or more equation…
Solution
that point of intersection is called the solution to the syst…
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