Study sets matching "1 algebra linear inequalities"

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Study sets matching "1 algebra linear inequalities"

Algebra 1 - Linear Equations and Inequalities
coefficient
distributive property
equation
inequality
the numerical part of a term
for any numbers a, b, and c: a(b+c) = ab+bc
a mathematical sentence showing two expressions are equal
mathematical sentences having the symbols <,>
coefficient
the numerical part of a term
distributive property
for any numbers a, b, and c: a(b+c) = ab+bc
Algebra 1: Inequalities and Linear Inequalities
>
<
>... _
<... __
Greater than
Less than
Greater than or equal to
Less than or equal to
>
Greater than
<
Less than
64 terms
Algebra 1: Linear and Inequality Review
D
A
D
B
D
A
6 terms
Algebra 1 Module 7 Linear Equations and Inequalities
parallel lines
perpendicular lines
linear inequality in two variables
solution of an inequality in two varia…
Two different non-vertical lines that have the same slope
Two non-vertical lines in the same plane whose slopes have a…
Can be written in one of the following forms: Ax + By < C, Ax…
One or more ordered pairs that make the inequality true.
parallel lines
Two different non-vertical lines that have the same slope
perpendicular lines
Two non-vertical lines in the same plane whose slopes have a…
9 terms
Algebra (Chap 5) - Linear Inequalities
Inequality
Set-Builder Notation
Compound Inequality
Intersection
A mathematical sentence that contains less than, greater than…
The expression of the solution set of an inequality, for exam…
Two or more inequalities joined together by "and" or "or"
Where the graphs of two inequalities overlap.
Inequality
A mathematical sentence that contains less than, greater than…
Set-Builder Notation
The expression of the solution set of an inequality, for exam…
26 terms
Linear Inequalities, Linear Inequalities 1
less than
less than or equal to
greater than
greater than or equal to
less than
less than or equal to
10 terms
Algebra 1: Unit 4 Systems of Linear Equations & Inequalities
System of Equations
System of Inequalities
Consistent
Inconsistent
A set of equations with the same variables.
A set of two or more inequalities with the same variables
A system of equations that has at least one solution is consi…
A system of equations that has no solution.
System of Equations
A set of equations with the same variables.
System of Inequalities
A set of two or more inequalities with the same variables
12 terms
Algebra 1 Systems of Linear Equations and Inequalities
system of linear equations
solution of a system
elimination method
substitution method
Two or more linear equations using the same variables.
Any ordered pair (x,y) that makes both equations true in a sy…
A method for solving systems by adding or subtracting equatio…
A method for solving systems by replacing one variable with a…
system of linear equations
Two or more linear equations using the same variables.
solution of a system
Any ordered pair (x,y) that makes both equations true in a sy…
10 terms
PPHS Algebra 2: Section 2-1 (Solving Linear Equations and Inequalities)
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Division property of equality
Add the same quantity (amount) to both sides, and the equatio…
Subtract the same quantity (amount) from both sides, and the…
Multiply both sides of an equation by the same quantity (amou…
Divide both sides of an equation by the same quantity (amount…
Addition property of equality
Add the same quantity (amount) to both sides, and the equatio…
Subtraction property of equality
Subtract the same quantity (amount) from both sides, and the…
PPHS Algebra 1: Section 6-5 (Solving Linear Inequalities)
Linear Inequality
Solution of a linear inequality
Step 1
Step 2
Similar to a linear equation, but the equal sign is replaced…
Any ordered pair that makes the inequality true.
Solve the inequality for y (slope-intercept form).
Graph the boundary line. Use a solid line for ≤ or ≥. Use a d…
Linear Inequality
Similar to a linear equation, but the equal sign is replaced…
Solution of a linear inequality
Any ordered pair that makes the inequality true.
8 terms
Algebra 1 Pre-AP Chapter 5: Linear Inequalities
inequalities
set builder notation
compound inequalities
union
a mathematical sentence involving <, >, or = plus < or >
a notation used to describe the members of a set
Two inequalities that are combined into one statement by the…
The graph of a compound inequality containing "or".
inequalities
a mathematical sentence involving <, >, or = plus < or >
set builder notation
a notation used to describe the members of a set
Alg 1 - Linear Inequalities and Systems of Linear Inequalities
Linear Inequality
Solution to a Linear Inequality
Solid Line
Dotted Line
a linear equation whose equal sign has been replaced with an…
any ordered pair that makes the inequality true
greater than or equal to, less than or equal to - ordered pai…
greater than, less than - ordered pairs located on the line a…
Linear Inequality
a linear equation whose equal sign has been replaced with an…
Solution to a Linear Inequality
any ordered pair that makes the inequality true
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…
(Algebra) Linear Inequalities
Linear Inequality
Signs
Plotting a Number Line
Peculiarity #1
inequality which involves a linear function.
Signs will vary from > (greater than), < (smaller than), ≥ (g…
While plotting a number line, when a number is greater or sma…
when dividing or multiplying by a negative, the sign of the i…
Linear Inequality
inequality which involves a linear function.
Signs
Signs will vary from > (greater than), < (smaller than), ≥ (g…
Algebra 2- Functions and Linear inequalities
function
constant function
identity function
quadratic function
...
f(x)=a ----- where a is any number; horizontal line
f(x)=x ----- which passes through all points coordinates (a,a…
f(x)=x^2 --- graph is symmetrical and is the parent function…
function
...
constant function
f(x)=a ----- where a is any number; horizontal line
17 terms
Unit 1: Solving Linear Equations and Inequalities (Algebra IR)
equation
expression
inequality
like terms
a combination of numbers, variables, operation symbols and an…
a combination of numbers, variables, operation symbols
a combination of numbers, variables, operation symbols and an…
terms that have the same variables raised to the same exponents
equation
a combination of numbers, variables, operation symbols and an…
expression
a combination of numbers, variables, operation symbols
8 terms
Unit 2: Solving Linear Inequalities (Algebra)
inequality
solution of an inequality
solution set
graph of an inequality
a mathematical sentence that compares expressions
a value that makes an inequality true
the set of all solutions of an inequality
a graph that shows the solution set
inequality
a mathematical sentence that compares expressions
solution of an inequality
a value that makes an inequality true
THE SHAPES OF ALGEBRA LINEAR SYSTEMS AND INEQUALITIES
CHORD
CIRCLE
LINEAR EQUATION IN STANDARD FORM
MIDPOINT
A LINE SEGMENTWITH END POINTS ON A CIRCLE.
A GEOMETRIC FIGURE CONSISTING OF ALL POINTS P THAT ARE FIXED…
THE FORM AX+BY=C OF A LINEAR EQUATION.
A POINT ON A LINE SEGMENT THAT IS EDUIDISTANT FROM THE END PO…
CHORD
A LINE SEGMENTWITH END POINTS ON A CIRCLE.
CIRCLE
A GEOMETRIC FIGURE CONSISTING OF ALL POINTS P THAT ARE FIXED…
20 terms
Algebra 1 Chapters 6 Vocabulary Quiz: System of Linear Equations & Linear Inequalities
System of Linear Equations
Solution for a System
Infinitely many solutions
Linear Combination
two or more linear equations.
The point of intersection where the lines cross always in the…
When the system of equations have the same slope and y-interc…
It uses addition, subtraction or multiplication to eliminate…
System of Linear Equations
two or more linear equations.
Solution for a System
The point of intersection where the lines cross always in the…
6 terms
Algebra 2: Chapter 2 Section 1: Solving Linear Equations and Inequalities
Equation
Solution Set of an Equation
Linear Equation in One Variable
Identity
Mathematical statement that two expressions are equivalent
The value or values of the variable that make the equation true
Can be written in the form ax = b, where a and b are constant…
An equation that is true for all values... Example: x = x
Equation
Mathematical statement that two expressions are equivalent
Solution Set of an Equation
The value or values of the variable that make the equation true
20 terms
Algebra I Linear Equations and Inequalities
equation
inequality
solving equation or inequality
<
a mathematical sentence that contains an equals sign.
a mathematical sentence that contains less than, greater than…
process of finding the value(s) of a variable that make the e…
"is less than"
equation
a mathematical sentence that contains an equals sign.
inequality
a mathematical sentence that contains less than, greater than…
21 terms
Algebra 1 EOC RC3:WRITING AND SOLVING LINEAR FUNCTIONS ,EQUATIONS , AND INEQUALITIES
Domain of a function
Elimination
Independent variable
Output
all the possible x-values of a function (The domain of this s…
used to solve a system of equations by adding the two equatio…
the variable (input) that determines the dependent variable (…
the y-values (range) of a situation (6 and 6.50 are the outpu…
Domain of a function
all the possible x-values of a function (The domain of this s…
Elimination
used to solve a system of equations by adding the two equatio…
17 terms
Inequalities (Algebra 1)
Inequality
Variable
Constant
Coefficient
A mathematical sentence that shows the relationship between q…
A letter or symbol used to represent a quantity that can chan…
A value that does not change.
A number multiplied by a variable in an algebraic expression.
Inequality
A mathematical sentence that shows the relationship between q…
Variable
A letter or symbol used to represent a quantity that can chan…
18 terms
Unit 1 - Linear Equations and Inequalities
Absolute Value
Algebraic Expression
Coefficient
Constant
the magnitude of a real number without regard to its sign - t…
A mathematical phrase that can contain constants, variables (…
The constant that multiplies the variable in a mathematical e…
A value that does not vary.
Absolute Value
the magnitude of a real number without regard to its sign - t…
Algebraic Expression
A mathematical phrase that can contain constants, variables (…
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
11 terms
algebra pp lines & linear inequalities
parallel lives have the same...
perpendicular lines have...
parallel or perpendicular
paraellel or perpendicular
slope
oppsite (signs) and recipacl ( flip fraction)
y=2x-1... **y=2x
y=2/1x-1... *** y=-1/2x
parallel lives have the same...
slope
perpendicular lines have...
oppsite (signs) and recipacl ( flip fraction)
21 terms
Linear Functions (Algebra 1)
linear equation
slope
y-intercept
x-intercept
An equation in two variables whose graph in a coordinate plan…
A ratio comparing the change in output over the change in inp…
The value of the output when the input is zero (0, y). The po…
The value of the input when the output is zero (x, 0). The po…
linear equation
An equation in two variables whose graph in a coordinate plan…
slope
A ratio comparing the change in output over the change in inp…
14 terms
Linear Inequalities 1
x > 7
x ≥ -1
x ≥ -7
x > 32
Solve the inequality:... 8(x-8) > -8
Solve the inequality:... 9+9(x+5) ≥ 45
Solve the inequality:... 4+4(x+9) ≥ 12
Solve the inequality:... 12+(8-x) < -12
x > 7
Solve the inequality:... 8(x-8) > -8
x ≥ -1
Solve the inequality:... 9+9(x+5) ≥ 45
31 terms
Algebra 1 Linear Review
D
A
D
B
D
A
5 terms
Algebra exam Linear equations/inequality
Justin bought 8 sodas and 4 bags of ch…
Emily eanered $10.00 per hour plus a $…
Bryan paid $60 plus $30 per extra person
2 busses and 3 fars hold at most 108 p…
8x+4y=14
Y=10x+15
Y=60+30x
2x+3y< or equal to 108
Justin bought 8 sodas and 4 bags of ch…
8x+4y=14
Emily eanered $10.00 per hour plus a $…
Y=10x+15
41 terms
Algebra 1 EOC RC2: DESCRIBING AND GRAPHING LINEAR FUNCTIONS EQUATION AND INEQUALITY
"b" in y = mx + b
"m" in y = mx + b
Breakeven point
Correlation
the variable used to represent the y-intercept in a linear fu…
the variable used to represent the slope of a line
the point in which cost = profit
the relationship between a set of data; it can be positive, n…
"b" in y = mx + b
the variable used to represent the y-intercept in a linear fu…
"m" in y = mx + b
the variable used to represent the slope of a line
9 terms
Algebra I Solving and Graphing Linear Inequalities
graph of an inequality with one variable
graph of an inequality with two variab…
Compound Inequality
absolute value equation
On a number line, the set of points that represent all soluti…
Ina coordinate plane, the set of points that represent all so…
Two inequalities joined by and or or.
an equations that contains and absolute value expression
graph of an inequality with one variable
On a number line, the set of points that represent all soluti…
graph of an inequality with two variab…
Ina coordinate plane, the set of points that represent all so…
30 terms
Algebra Chapter 5 Test Review - Linear Inequalities
x > 36
x > 150
x < -15
x < 0
2x > 72
-x / 3 < 50
-3x > 45
-12 - x > -12 + 4x
x > 36
2x > 72
x > 150
-x / 3 < 50
8 terms
Algebra I - Systems of Linear Equations and Inequalities set 2
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…
31 terms
Algebra 1 Linear Review
D
A
D
B
D
A
Linear Algebra Chapter 1
The number of solutions in a system of…
A system is said to be CONSISTENT if...
A system is said to be INCONSISTENT if…
Echelon Form
None, One, or Infinitely Many
it has one or infinitely many solutions
it has no solution
1- rows of zeroes on the bottom, 2- each leading entry of a r…
The number of solutions in a system of…
None, One, or Infinitely Many
A system is said to be CONSISTENT if...
it has one or infinitely many solutions
20 terms
Big Ideas Algebra 1 Chapter 4 Vocabulary Quiz: Systems of Linear Equations & Inequalities
System of Linear Equations
Solution for a System
Infinitely many solutions
Elimination Method
two or more linear equations.
The point of intersection where the lines cross always in the…
When the system of equations have the same slope and y-interc…
It uses addition, subtraction or multiplication to eliminate…
System of Linear Equations
two or more linear equations.
Solution for a System
The point of intersection where the lines cross always in the…
17 terms
Algebra 1: Linear Vocabulary
Quadrant
Solution of an equation in two variables
Graph of an equation in two variables
Linear equation
One of the four regions into which the x and y axes divide th…
An ordered pair that produces a true statement when the coord…
The set of points in a coordinate plane that represent all so…
An equation whose graph is a line.
Quadrant
One of the four regions into which the x and y axes divide th…
Solution of an equation in two variables
An ordered pair that produces a true statement when the coord…
21 terms
Algebra 1 EOC RC3:WRITING AND SOLVING LINEAR FUNCTIONS ,EQUATIONS , AND INEQUALITIES
Domain of a function
Elimination
Independent variable
Output
all the possible x-values of a function (The domain of this s…
used to solve a system of equations by adding the two equatio…
the variable (input) that determines the dependent variable (…
the y-values (range) of a situation (6 and 6.50 are the outpu…
Domain of a function
all the possible x-values of a function (The domain of this s…
Elimination
used to solve a system of equations by adding the two equatio…
14 terms
Algebra 1 Unit 3 - Inequalities
inequality
is less than
is greater than
is less than or equal to
a statement that two quantities are not equal
inequality
a statement that two quantities are not equal
is less than
8 terms
Systems of Linear Equations and Inequalities-1
Standard Form
Slope-Intercept Form
feasible points
linear inequality
The standard form of a linear equation is Ax + By = C, where…
The slope-intercept form of a linear equation is y = mx + b,…
The set of all solutions that satisfy an equation, and inequa…
A mathematical sentence, such as Ax + By + C < Dx + Ex + F, w…
Standard Form
The standard form of a linear equation is Ax + By = C, where…
Slope-Intercept Form
The slope-intercept form of a linear equation is y = mx + b,…
10 terms
Algebra - solving quadratic equations and linear inequalities and functions
quadratic equation
quadratic formula
solve an inequality
equivalent inequalities
ax^2 + bx + c = 0... a cannot = 0... two real solutions at most
x = -b +/- √b^2-4ac/ 2a
find all set of values of the variable that make the inequali…
two inequalities that have the same solution set
quadratic equation
ax^2 + bx + c = 0... a cannot = 0... two real solutions at most
quadratic formula
x = -b +/- √b^2-4ac/ 2a
Unit 2: Solving Linear Inequalities (Algebra)
inequality
solution of an inequality
solution set
graph of an inequality
a mathematical sentence that compares expressions
a value that makes an inequality true
the set of all solutions of an inequality
a graph that shows the solution set
inequality
a mathematical sentence that compares expressions
solution of an inequality
a value that makes an inequality true
8 terms
leanderisd - Algebra ~ Linear Equations and Inequalities in Two Variables
intercepts
line of best fit
linear function
linear inequality
where the parabola crosses the x-axis; where a line crosses t…
a line that most accurately represents a set of data and is u…
data sets that have a constant rate of change and forms a lin…
an inequality that is the result of replacing the = sign in a…
intercepts
where the parabola crosses the x-axis; where a line crosses t…
line of best fit
a line that most accurately represents a set of data and is u…
Algebra 1 EOC RC2: DESCRIBING AND GRAPHING LINEAR FUNCTIONS EQUATION AND INEQUALITY
"b" in y = mx + b
"m" in y = mx + b
Breakeven point
Correlation
the variable used to represent the y-intercept in a linear fu…
the variable used to represent the slope of a line
the point in which cost = profit
the relationship between a set of data; it can be positive, n…
"b" in y = mx + b
the variable used to represent the y-intercept in a linear fu…
"m" in y = mx + b
the variable used to represent the slope of a line
7 terms
Advanced Algebra Unit 3B Linear Inequalities Review
x < 4
x ≥ 1
all real numbers
x ≤ - 7
Solve the inequality: 10x - 9 < 15 + 4x
Solve the inequality: 2(x - 5) + x ≥ 2x - 9
Solve the compound inequality: x + 18 ≥ 8x + 4 or 15x - 15 ≤…
Solve the compound inequality: 14x + 20 < 14x +16 or 8 - 10x…
x < 4
Solve the inequality: 10x - 9 < 15 + 4x
x ≥ 1
Solve the inequality: 2(x - 5) + x ≥ 2x - 9
5 terms
Linear Algebra 1.4
Matrix equation
Theorem 3
Identity matrix
Theorem 4
an equation that involves at least one matrix for instance, A…
If A is an m*n matrix, with columns a1...an, and if b is in R…
A square matrix with ones on the diagonal and zeros elsewhere
Let A be an m*n matrix. Then the following statements are log…
Matrix equation
an equation that involves at least one matrix for instance, A…
Theorem 3
If A is an m*n matrix, with columns a1...an, and if b is in R…
32 terms
Linear Algebra Test 1
Vector Space
Vector Space Axioms
Subspace
Transpose
a set where addition and scalar multiplication as well as the…
1. Commutativity of addition... 2. Associativity in addition... 3.…
a subset of a vector space that is also a vector space closed…
Matrix formed from switching rows and colums (A₁₂)'=A₂₁
Vector Space
a set where addition and scalar multiplication as well as the…
Vector Space Axioms
1. Commutativity of addition... 2. Associativity in addition... 3.…
31 terms
Algebra 1 Linear Review
D
A
D
B
D
A
31 terms
Algebra 1 Linear Review
D
A
D
B
D
A
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