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Study sets matching "algebra chapter 6 inequalities"

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Study sets matching "algebra chapter 6 inequalities"

12 terms
ALGEBRA: CHAPTER 6 - SYSTEMS OF EQUATIONS AND INEQUALITIES
System of linear equations
Solution of a system of linear equations
Consistent system
Independent system
Two or more linear equations using the same variables.
Any ordered pair that makes all of the inequalities in the sy…
A system of equations that has at least one solution is consi…
A system of linear equations that has a unique solution.
System of linear equations
Two or more linear equations using the same variables.
Solution of a system of linear equations
Any ordered pair that makes all of the inequalities in the sy…
6 terms
Algebra 1 Pre-AP Chapter 6: Systems of Linear Equations & Inequalities
systems of equations
consistent system of equations
Independent system of equations
dependent system of equations
Set of equations with the same variable
A system of equations that is said to have exactly one soluti…
A consistent system of equations with exactly one solution
A system of equations that has an infinite number of solutions.
systems of equations
Set of equations with the same variable
consistent system of equations
A system of equations that is said to have exactly one soluti…
10 terms
Algebra Vocab Chapter 6 Systems of Equations and Inequalities
system of linear equations
consistent system
inconsistent system
dependent system
consists of two or more linear equations in the same variables
solution exists (one or more solutions)
no solution (parallel)
same graph
system of linear equations
consists of two or more linear equations in the same variables
consistent system
solution exists (one or more solutions)
12 terms
ALGEBRA: CHAPTER 3 - SOLVING INEQUALITIES
Solution of an inequality
Equivalent inequalities
Roster form
Set-builder notation
Any value or values of a variable in the inequality that make…
Inequalities that have the same set of solutions.
A notation for listing all of the elements in a set using set…
A notation used to describe the elements of a set.
Solution of an inequality
Any value or values of a variable in the inequality that make…
Equivalent inequalities
Inequalities that have the same set of solutions.
17 terms
Algebra II-Chapter 6: Equations. Chapter 7: Inequalities and Linear Applications
Literal Equations
Complex Numbers
The Complex Number √-1
The Complex Number i^2
equations that are all or mostly all variables
a number written in the form (a + bi) where a and b are Real…
= i
= -1
Literal Equations
equations that are all or mostly all variables
Complex Numbers
a number written in the form (a + bi) where a and b are Real…
23 terms
Chapter 6 - Linear Inequalities
Less than
Greater than
Less than or equal
Less than or equal
Fewer than
More than
At most
no more than
Less than
Fewer than
Greater than
More than
7 terms
Algebra Chapter 5 - Inequalities
Boundary
Compound Inequality
Inequality
Intersection
A line or curve that separates the coordinate plane into regi…
Two or more inequalities that are connected by the words "and…
An open sentence that contains the symbol ˂, >, ≤, or ≥
The graph of a compound inequality containing and; the soluti…
Boundary
A line or curve that separates the coordinate plane into regi…
Compound Inequality
Two or more inequalities that are connected by the words "and…
11 terms
Chapter 6- Functions and Inequalities
arithmetic sequence
dependent variable
function
function rule
add the same number to the previous term (pattern)
depends on the input value (output)
a relation that assigns exactly one output value to one input…
describes the relationship between each input and output.
arithmetic sequence
add the same number to the previous term (pattern)
dependent variable
depends on the input value (output)
6 terms
Chapter 6 - Systems of Equations and Inequalities
System of Linear Equations
Solution of a system of linear equations
Substitution Method
Elimination Method
two or more linear equations
The ordered pair that makes all the equations in a system true
When you solve one of the equations in the system for x or y,…
When you add or subtract the linear equations so that one var…
System of Linear Equations
two or more linear equations
Solution of a system of linear equations
The ordered pair that makes all the equations in a system true
8 terms
Algebra Chapter 2 - Graphs, Equations, and Inequalities
first differences
solution
intersection point
compound inequality
determined by calculating the difference between successive p…
any value that makes the open sentence true
the ordered pair that satisfies both functions at the same time
an inequality that is formed by the union, "or," or the inter…
first differences
determined by calculating the difference between successive p…
solution
any value that makes the open sentence true
12 terms
Chapter 6: Systems of Equations and Inequalities
consistent
dependent
elimination method
inconsistent
A system of equations that has at least one solution
A consistent system that has infinitely many solutions.
If a=b and c=d, then a+c=b+d and a-c=b-d. In this method, you…
A system of equations that has no solution.
consistent
A system of equations that has at least one solution
dependent
A consistent system that has infinitely many solutions.
15 terms
7G - Chapter 6 Equations and Inequalities
Addition Property of Equality
Addition Property of Inequality
coefficient
Division Property of Equality
If you add the same number to each side of an equation, the t…
If you add the same number to each side of an inequality, the…
The numerical factor of a term that contains a variable.
If you divide each side of an equation by the same nonzero nu…
Addition Property of Equality
If you add the same number to each side of an equation, the t…
Addition Property of Inequality
If you add the same number to each side of an inequality, the…
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…
16 terms
8th Grade Algebra Study Guide #6 - Chapter 6 Systems of Linear Equations and Inequalities
*KeyConcepts*
Systems of Equations
Systems of Inequalities
*KeyVocabulary*
...
-a system with a graph of two intersecting lines has one solu…
-a system of inequalities is a set of two or more inequalitie…
...
*KeyConcepts*
...
Systems of Equations
-a system with a graph of two intersecting lines has one solu…
16 terms
Chapter 6: Inequalities in Geometry
5 Properties of Inequality
The Exterior Angle Inequality Thm
Conditional
Contrapositive
1. if a > b and c>= d then a+c > b+d... 2. if a > b and c > 0 th…
the measure of an exterior angle of a triangle is greater tha…
if p then q
if not q then not p
5 Properties of Inequality
1. if a > b and c>= d then a+c > b+d... 2. if a > b and c > 0 th…
The Exterior Angle Inequality Thm
the measure of an exterior angle of a triangle is greater tha…
Pre-Algebra - Chapter 5 - Solving Inequalities/Inequalities
Inequalities
Signs of Inequalities
Types of Inequalities
Linear Inequality
The relation between two expressions that are not equal, empl…
< and > are used open circle.... ≤ and ≥ are used closed circle.
There are two types of Inequalities - Linear Inequalities and…
A Linear inequality is an inequality which involves a linear…
Inequalities
The relation between two expressions that are not equal, empl…
Signs of Inequalities
< and > are used open circle.... ≤ and ≥ are used closed circle.
13 terms
Chapter 6 - Equations and Inequalities
Equation
Solution
Equivalent equation
Subtraction Property of Equality
A mathematical sentence that contains an equal sign, = , stat…
A replacement value for the variable in an open sentence. A v…
Two or more equations with the same solution.
If you subtract the same number from each side of an equation…
Equation
A mathematical sentence that contains an equal sign, = , stat…
Solution
A replacement value for the variable in an open sentence. A v…
16 terms
Chapter 6: Inequalities in Geometry
5 Properties of Inequality
The Exterior Angle Inequality Thm
Conditional
Contrapositive
1. if a > b and c>= d then a+c > b+d... 2. if a > b and c > 0 th…
the measure of an exterior angle of a triangle is greater tha…
if p then q
if not q then not p
5 Properties of Inequality
1. if a > b and c>= d then a+c > b+d... 2. if a > b and c > 0 th…
The Exterior Angle Inequality Thm
the measure of an exterior angle of a triangle is greater tha…
12 terms
Chapter 6 - Systems of Equations and Inequalities
Consistent
Dependent
Elimination Method
Inconsistent
a system of equations that has at least one ordered pair that…
a system of equations that has an infinite number of solutions
solving systems by adding or subtracting equations to elimina…
A system of equations that has no solutions
Consistent
a system of equations that has at least one ordered pair that…
Dependent
a system of equations that has an infinite number of solutions
20 terms
Algebra 2 Chapter 6
composite function
index
inverse function
inverse relation
a function formed by evaluating one function with another fun…
the part of a radical that gives the degree of the root.
a function that "undoes" what the original function does. Swi…
the set or ordered pairs obtained by switching the x and y co…
composite function
a function formed by evaluating one function with another fun…
index
the part of a radical that gives the degree of the root.
10 terms
Algebra Unit 6: Systems of Equations and Inequalities
system of linear equations
solution of the system of linear equat…
no solution
infinitely many solutions
A set of two or more linear equations containing two or more…
The intersection point of the two lines
a system of equations in which there are no solutions (the li…
The number of solutions of a system of equations in which the…
system of linear equations
A set of two or more linear equations containing two or more…
solution of the system of linear equat…
The intersection point of the two lines
8 terms
Algebra Chapter 6 Review
consistent
dependent
elimination
inconsistent
When the graphs of a system of equations intersect or coincide.
A system of equations with an infinite number of solutions.
Solving systems of equations by adding the two equations toge…
A system of equations with no ordered pairs that satisfy the…
consistent
When the graphs of a system of equations intersect or coincide.
dependent
A system of equations with an infinite number of solutions.
8 terms
Algebra Chapter 6
Consistent
Dependent
Elimination
Inconsistent
a system of equations that has at least one ordered pair that…
a system of equations that has an infinite number of solutions.
the use of addition or subtraction to eliminate one variable…
a system of equations with no ordered pairs that satisfy the…
Consistent
a system of equations that has at least one ordered pair that…
Dependent
a system of equations that has an infinite number of solutions.
8 terms
Chapter 6: Systems of Linear Equations and Inequalities
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…
13 terms
Algebra II Chapter 6
composite function
index of a radical
inverse function
inverse relation
a function formed by evaluating one function with another fun…
the part of a radical that gives the degree of the root.
a function that "undoes" what the original function does.
a relationship in which one variable decreases when another v…
composite function
a function formed by evaluating one function with another fun…
index of a radical
the part of a radical that gives the degree of the root.
28 terms
Algebra Chapter 2 - Solving Inequalities - WGinn97
Solve: 2n+6<4
Solve: 5n-4>11
Solve: 2x+5<6
If the inequality is 2<x, which way do…
n<-1 ... Graph: open circle at -1, shade to the left
n>3... Graph: open circle at 3, shade to the right
x<1/2 or x<0.5
Towards the larger numbers (right)
Solve: 2n+6<4
n<-1 ... Graph: open circle at -1, shade to the left
Solve: 5n-4>11
n>3... Graph: open circle at 3, shade to the right
10 terms
Algebra 1 ~ Chapter 6
consistent
dependent
elimination method
inconsistent
a system of equations with at least one solution. [p. 365]
a consistent system with infinite solutions. [p. 365]
a way to solve a system of linear equations by adding or subt…
a system of equations with no solutions. [p. 365]
consistent
a system of equations with at least one solution. [p. 365]
dependent
a consistent system with infinite solutions. [p. 365]
9 terms
Algebra Chapter 6
Rate of Change
Slope Form
Slope Intercept Form
Standard Form of a Linear Equation
The relations between two qualities
Rise over run
y=mx+b
Ax+By=C where A,B and C are real numbers, and A and B aren't 0
Rate of Change
The relations between two qualities
Slope Form
Rise over run
22 terms
Algebra 1 Chapter 6 worksheets
D
B
A
B
D
B
12 terms
Chapter 6- inequalities
Take the converse and negate it
Take the conditional and negate it
When the exterior angle is equal to th…
Assume the opposite... Prove its wrong... Si…
Contrapositive
Inverse
Exterior angle inequality theorem
List the steps of an indirect proof
Take the converse and negate it
Contrapositive
Take the conditional and negate it
Inverse
13 terms
Algebra 2 - Chapter 6
composite function
index
inverse function
inverse relation
a function formed by evaluating one function with another fun…
the part of a radical that gives the degree of the root.
a function that "undoes" what the original function does.
a relationship in which one variable decreases when another v…
composite function
a function formed by evaluating one function with another fun…
index
the part of a radical that gives the degree of the root.
7 terms
Chapter 8 Algebra: Equations and Inequalities
addition property of equality
equation
inequality
inverse operations
the property that states that if you add the same number to b…
an algebraic or numerical sentence that shows that two quanti…
a mathematical sentence that compares two expressions using t…
operations that undo each other; addition and subtraction are…
addition property of equality
the property that states that if you add the same number to b…
equation
an algebraic or numerical sentence that shows that two quanti…
15 terms
Chapter 6 Equations and Inequalities Vocabulary
Equation
Solution
Equivalent Equation
Subtraction Property of Equality
a mathematical sentence that contains an equals sign, stating…
a replacement value for the variable in an open sentence. A v…
two or more equations with the same solution
if you subtract the same number from each side of an equation…
Equation
a mathematical sentence that contains an equals sign, stating…
Solution
a replacement value for the variable in an open sentence. A v…
8 terms
Algebra Chapter 6
Linear System / System of Equations
Point of Intersection
Solving a system by GRAPHING
Solving a system by SUBSTITUTION
Two or more equations with the same variables 2x+ 3y = 2 ... 5x…
Always an ORDERED PAIR (x,y)
1. Put in slope-intercept form... 2. Graph BOTH... 3. Find where th…
Linear System / System of Equations
Two or more equations with the same variables 2x+ 3y = 2 ... 5x…
Point of Intersection
Always an ORDERED PAIR (x,y)
Algebra Chapter 6 Vocabulary
slope-intercept form
horizontal lines
vertical lines
perpendicular line
y=mx+b
lines with slope=0
lines with no slope
two lines with slopes that are negative reciprocals
slope-intercept form
y=mx+b
horizontal lines
lines with slope=0
10 terms
Algebra 2 ~ Chapter 6
composite function
inverse function
nth root
principal root
a combination of two functions such that the output from the…
a relation formed by reversing x and y in a function. [p. 405]
for any real numbers A and B, and any positive integer N, if…
the positive square root of a number. [p. 361]
composite function
a combination of two functions such that the output from the…
inverse function
a relation formed by reversing x and y in a function. [p. 405]
8 terms
Chapter 6 Algebra
expression
equation
Operation Symbols
inequality
NOT a number sentence. NO relation symbol
a number sentence that DOES contain an equal sign
X, - , + , /
a number sentence that DOES have a relation symbol
expression
NOT a number sentence. NO relation symbol
equation
a number sentence that DOES contain an equal sign
14 terms
Algebra - Chapter 6
graph of a linear inequality in one va…
equivalent inequalities
compound inequality
linear inequality in x and y
The set of points on a number line that represents all soluti…
Inequalities that have the same solutions
Two or more inequalities that are connected by the words 'and…
An inequality that can be written in the form ax+b<c where a,…
graph of a linear inequality in one va…
The set of points on a number line that represents all soluti…
equivalent inequalities
Inequalities that have the same solutions
18 terms
Chapter 6: Inequalities in Geometry
If a > b and c ≥ d, then
If a > b and c > 0, then
If a > b and c < 0, then
If a > b and b < c, then
a + c > b + d
ac > bc and a/c > b/c
ac < bc and a/c < b/c
a > c
If a > b and c ≥ d, then
a + c > b + d
If a > b and c > 0, then
ac > bc and a/c > b/c
7 terms
Chapter 6- Inequalities in Geometry
The Exterior angle inequality theorem
If one side of a triangle is longer th…
If one angle of a triangle is larger t…
The perpendicular segment from a point…
The measure of an exterior angle of a triangle is greater tha…
then the angle opposite the first side is larger than the ang…
then the side opposite the first side is larger than the angl…
is the shortest segment from that point to that line/plane
The Exterior angle inequality theorem
The measure of an exterior angle of a triangle is greater tha…
If one side of a triangle is longer th…
then the angle opposite the first side is larger than the ang…
12 terms
Chapter 6: Systems of Equations and Inequalities
consistent
dependent
elimination method
inconsistent
A system of equations that has at least one solution
A consistent system that has infinitely many solutions.
If a=b and c=d, then a+c=b+d and a-c=b-d. In this method, you…
A system of equations that has no solution.
consistent
A system of equations that has at least one solution
dependent
A consistent system that has infinitely many solutions.
13 terms
Chapter 6: Equations and inequalities
Equation
Solution
Equivalent equations
Subtraction property of equalit
A sen
...
...
...
Equation
A sen
Solution
...
20 terms
Chapter 6 - Linear Equations and Inequalities (MMS 9)
equation
solution of an equation
linear equation in one variable
inverse operation
A written statement indicating the equality of two expression…
the value(s) of the variable that make the equation true
can be written in the form ax=b, where "a" is a coefficient a…
the operation that reverses the effect of another operation
equation
A written statement indicating the equality of two expression…
solution of an equation
the value(s) of the variable that make the equation true
23 terms
Algebra Chapter 3 Solving Linear Inequalities
inequality
solution of an inequality
solution set
graph of an inequality
a mathematical sentence that compares quantities
a value that makes the inequality true
the set of all solutions of an inequality
shows the solution set on a number line
inequality
a mathematical sentence that compares quantities
solution of an inequality
a value that makes the inequality true
13 terms
geometry chapter 6: inequalities
If a>b ad c>d, then
if a>b and c is positive(c>0), then
if a>b and c is negative, then
(transitive prop of inequality)if a>b…
a+c>b+d
a⋅c<b⋅c and a/c<b/c
a⋅c>b⋅c and a/c>b/c
a>c
If a>b ad c>d, then
a+c>b+d
if a>b and c is positive(c>0), then
a⋅c<b⋅c and a/c<b/c
12 terms
Chapter 6 Inequalities in Geometry
The Exterior Angle Inequality Theorem
A statement and its contrapositive are
Step one of writing indirect proofs
Step two of writing indirect proofs
The measure of an exterior angle of a triangle is greater tha…
logically equivalent
Assume temporarily that the conclusion is not true.
Reason logically until you reach a contradiction of a known f…
The Exterior Angle Inequality Theorem
The measure of an exterior angle of a triangle is greater tha…
A statement and its contrapositive are
logically equivalent
13 terms
Chapter 6 equations and inequalities
Equation
Solution
Equivalent equations
Subtraction property of equality
A sentence that two quantities are equal
Value of a variable that makes a equation true
Same solution
Two sides of a equation remain equal when you subtract the sa…
Equation
A sentence that two quantities are equal
Solution
Value of a variable that makes a equation true
12 terms
Chapter 6 equations and inequalities
Solution
Equation
Equivalent equations
Subtraction property of equality
The value of a variable that make an equation true
A sentence stating that two quantities are equal
Same solution
States that the two sides of an equation remain equal when yo…
Solution
The value of a variable that make an equation true
Equation
A sentence stating that two quantities are equal
7 terms
Chapter 6 Algebra 2
geometric sequence
arithmetic sequence
explicit geometric formula
recursive geometric formula
geometric sequence
arithmetic sequence
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