Study sets matching "term:algebra = solutions"

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Study sets matching "term:algebra = solutions"

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
Algebra II Solutions
If D ≠ 0
If D = 0, Dy ≠ 0
If D = 0, Dy = 0
discriminant is positive
graphs intersect; consistent independent
graphs are parallel; inconsistent
graphs coincide; consistent dependent; IMF
two different rational numbers
If D ≠ 0
graphs intersect; consistent independent
If D = 0, Dy ≠ 0
graphs are parallel; inconsistent
Algebra (SOLUTION OF A SYSTEM)
consistent equations
dependent equations
equivalent equations
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 having all common solutions
a system of linear equations that do not contain any common p…
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…
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…
12 terms
Algebra (ABSOLUTE VALUE SOLUTION SETS)
absolute value
IxI symbol means:
Select the graph for the solution of t…
Select the graph for the solution of t…
the distance from zero on the number line
the absolute value of some number x
no solution
https://internationalvla.sooschools.com/media/g_alg01_ccss_20…
absolute value
the distance from zero on the number line
IxI symbol means:
the absolute value of some number x
16 terms
# of Solutions to Systems of Linear Equations-Pre-Algebra
y = 3x + 2... y = 3x + 4
y = 2/3x + 4... y = 2x + 8
y = 4/5x - 7... y = 8/10x - 7
y = 6x - 3... y = 9
No Solution
(-3, 2)
Infinite
(2, 9)
y = 3x + 2... y = 3x + 4
No Solution
y = 2/3x + 4... y = 2x + 8
(-3, 2)
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…
# of Solutions to Systems of Linear Equations-Pre-Algebra
y = 3x + 2... y = 3x + 4
y = 2/3x + 4... y = 2x + 8
y = 4/5x - 7... y = 8/10x - 7
y = 6x - 3... y = 9
No Solution
(-3, 2)
Infinite
(2, 9)
y = 3x + 2... y = 3x + 4
No Solution
y = 2/3x + 4... y = 2x + 8
(-3, 2)
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.
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.
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…
Algebra1 (Monarch) Unit 5:1:1 Solution of a System
consistent equations
dependent equations
equivalent equations
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 having all common solutions
a system of linear equations that do not contain any common p…
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…
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…
Algebra one final- solve for X ....there can be No solution/identity
3(X+4) = 2(X+6)
-4.4X-2 = -5.5X-4.2
2/5X+1/2X = 27
4(X-5) = 4X+6
X= 0
X= -2
X= 30
No Solution
3(X+4) = 2(X+6)
X= 0
-4.4X-2 = -5.5X-4.2
X= -2
4. 8EE7 When an equation is solved as far as possible algebraically, the types of final equations that determine the number of Solutions (0,1, or infinitely many) of Linear Equations in one variable.
solution
a=b
x=a
a=a
a value that when in place of a variable holds the equation t…
no values of the variable for which the equation is true
the equation is true for exactly one value of the variables
the equation is true for all values of the variable
solution
a value that when in place of a variable holds the equation t…
a=b
no values of the variable for which the equation is true
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)
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
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
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
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
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.
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 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
7 terms
Algebra 1 - Chapter 6
elimination method
linear inequality
solution of a system of linear inequal…
solution of a system of linear equations
solving systems by adding or subtracting equations to elimina…
an inequality in two variables whose graph is a region of the…
a set of values that make all inequalities in a system true.…
a set of values that make all equations in a system true. [p.…
elimination method
solving systems by adding or subtracting equations to elimina…
linear inequality
an inequality in two variables whose graph is a region of the…
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
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
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
Algebra 1 Chapter 1 Vocabulary List (Part 2)
Absolute Value
Reciprocal
Term
Constant
The distance a number is from 0 on with number line.
A numbers multiplicative inverse (used for dividing fractions)
A number, a variable, or the product of a number and one or m…
A term that has no variable
Absolute Value
The distance a number is from 0 on with number line.
Reciprocal
A numbers multiplicative inverse (used for dividing fractions)
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
25 terms
Algebra 2 Chapter 4
axis of symmetry
completing the square
complex conjugates
complex number
a line about which a figure is symmetrical
a process used to make a quadratic expression into a perfect…
two complex numbers of the form a-bi and a+bi
any number that can be written in the form a+bi where a and b…
axis of symmetry
a line about which a figure is symmetrical
completing the square
a process used to make a quadratic expression into a perfect…
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 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.
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.
12 terms
Algebra: Module 1 - Part 2
number sentence
equation
domain
numeric
number sentence
equation
18 terms
Chapter 4 Algebra 2
SOLUTION
BOUNDRY CURVE
BOUNDRY LINE
BOUNDARY POINT
a number or expression that makes the equation or inequality…
The visual dividing marker of a non-linear graph representing…
The visual dividing symbol in a linear graph representing whe…
The endpoint of a ray or segment on a number line where an in…
SOLUTION
a number or expression that makes the equation or inequality…
BOUNDRY CURVE
The visual dividing marker of a non-linear graph representing…
11 terms
Chapter 5 Algebra (Glencoe)
inequality
set-builder notation
compound inequality
intersection
An open sentence that contains the symbol <, ≤, >, ≥.
A concise way of writing a solution set. For example, {t |t <…
A ______________ containing 'and' is true if both of the ineq…
The graph of a compound inequality containing 'and' is the __…
inequality
An open sentence that contains the symbol <, ≤, >, ≥.
set-builder notation
A concise way of writing a solution set. For example, {t |t <…
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)
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
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
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
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
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)
23 terms
Chapter 0 Algebra 2
Absolute Value
Algebraic Expression
Compound Inequality
Constraint
distance from zero, the quantity of the number as a positive.
an expression built up from integer constants, variables, and…
contains at least two inequalities that are separated by eith…
The number of tickets sold was more than 200
Absolute Value
distance from zero, the quantity of the number as a positive.
Algebraic Expression
an expression built up from integer constants, variables, and…
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
15 terms
Algebra Vocabulary
variable
equation
distributive
formula
A symbol used to represent a number.
A statement of equality.
For all real numbers a, b, and c: a(b+c)=ab+ac.
An equation that expresses a relationship between measurements.
variable
A symbol used to represent a number.
equation
A statement of equality.
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