Study sets matching "1 algebra linear equations"

Study sets
Classes
Users

Study sets matching "1 algebra linear equations"

21 terms
Algebra 1 Linear Equations
D
A
D
B
D
A
14 terms
Algebra 1: Linear Equations
Rate of change
Slope
The Slope Formula
Positive Slope
Rate of change
Slope
Algebra 1: Linear Equations
coordinate plane
origin
x-axis
y-axis
the grid created by the horizontal x-axis and the vertical y-…
(0,0) in the coordinate plane; center of the grid
the horizontal number line in the coordinate plane (left to r…
the vertical number line in the coordinate plane (up and down)
coordinate plane
the grid created by the horizontal x-axis and the vertical y-…
origin
(0,0) in the coordinate plane; center of the grid
Algebra 1 Linear Equations
D
A
D
B
D
A
10 terms
Algebra 1- Linear Equations
Standard Form
Slope Intercept Form
Vertical line
Horizontal line
ax+by=c
y=mx+b
x=a m=undefined
y=b m=0
Standard Form
ax+by=c
Slope Intercept Form
y=mx+b
Algebra 1: Systems of Linear Equations
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…
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: Linear Equations
rise
run
slope
dependent
vertical change... the difference in the y-values on a line
horizontal change... the difference in the x-values on a line
Slope= Rise/Run=Change in Y/Change in X... m = y₂-y₁/ x₂-x₁
Variable that changes as a result of a change in the independ…
rise
vertical change... the difference in the y-values on a line
run
horizontal change... the difference in the x-values on a line
Algebra 1- Systems of Linear Equations
consistent system
dependent system
elimination method
inconsistent system
a system of equations or inequalities that has at least one s…
a system of equations that has infinitely many solutions
a method used to solve systems of equations in which one vari…
a system of equations or inequalities that has no solution
consistent system
a system of equations or inequalities that has at least one s…
dependent system
a system of equations that has infinitely many solutions
1 - Linear Algebraic Equations
Algebraic Notation
Expression
Equation
Inequality
The ability to convert worded sentences and problems into alg…
x^2+3x
x^2+3x=8
x^2+3x>28
Algebraic Notation
The ability to convert worded sentences and problems into alg…
Expression
x^2+3x
8 terms
Algebra 1-Unit 4 Graphing Linear Equations
slope-intercept form
point-slope form
Standard form
Slope Formula
y= mx + b
Ax + By = C
slope-intercept form
y= mx + b
point-slope form
17 terms
Linear Systems of Equations (Algebra 1)
Function
Function Notation
Input
Output
A relationship where each input has exactly one output.
If x is input and y is the output, then the function notation…
A number in the domain of a function. ... The independent variab…
A number in the range of a function.... The dependent variable.
Function
A relationship where each input has exactly one output.
Function Notation
If x is input and y is the output, then the function notation…
Algebra 1 - Solving Linear Equations
conjecture
theorem
rule
linear equation in one variable
An unproven statement about a general mathematical concept, e…
A proven statement about a general mathematical concept.
A term used in place of the word theorem.
An equation that can be written as ax + b = 0, where a ≠ 0.
conjecture
An unproven statement about a general mathematical concept, e…
theorem
A proven statement about a general mathematical concept.
12 terms
Solving Linear Equations Algebra 1 Review
-12
-13
-14
-6
10x = -120
4 = x + 17
-21 = x - 7
50 = -5(-4 + x)
-12
10x = -120
-13
4 = x + 17
37 terms
Algebra 1 Chapt 6 Linear Equations and Graphs
The slope of the line passing through…
The slope of the line passing through…
The slope of the line passing through…
Slope
m = 0
Slope is Undefined
m = 1
The steepness of a line
The slope of the line passing through…
m = 0
The slope of the line passing through…
Slope is Undefined
12 terms
Algebra (2.1) Graphing Linear Equations
coordinate plane
x-axis
y-axis
ordered pair
a graph with x- and y- axes
the horizontal line of a graph
the vertical line of a graph
(x,y) marking a coordinate point on a graph
coordinate plane
a graph with x- and y- axes
x-axis
the horizontal line of a graph
56 terms
Chapter 1 Linear Equations in Linear Algebra
What is a linear equation?
What is a system of linear equations?
What is a solution of a linear equation?
What is a solution set?
Any equation that can be written in the following form: (pg. 2)
A system of linear equations (or a linear system) is a collec…
A list of numbers that satisfies a system of linear equations…
The set of all possible solutions is called the solution set…
What is a linear equation?
Any equation that can be written in the following form: (pg. 2)
What is a system of linear equations?
A system of linear equations (or a linear system) is a collec…
21 terms
Algebra 1 Chapt 6 Linear Equations and Graphs
The slope of the line passing through…
The slope of the line passing through…
Slope
Y-Intercept
m = 0
Slope is Undefined
The steepness of a line
Where a line crosses the y-axis
The slope of the line passing through…
m = 0
The slope of the line passing through…
Slope is Undefined
Algebra 1 Systems of Linear Equations
System of linear equations
Solve graphically
Solution to a system of linear equations
Infinite solutions
2 or more linear equations
Use a graph to find the solution
The point at which 2 linear equations intersect.
The number of solutions a system has when the graphs of the e…
System of linear equations
2 or more linear equations
Solve graphically
Use a graph to find the solution
11 terms
(Algebra 1) - Solving Linear Equations
linear equation in one variable
solution of an equation
inverse operation for addition
inverse operation for subtraction
An equation that can be written as ax + b = 0, where a ≠ 0.
a value that makes the equation true
subraction
addition
linear equation in one variable
An equation that can be written as ax + b = 0, where a ≠ 0.
solution of an equation
a value that makes the equation true
12 terms
Algebra 1- Linear Equations Vocabulary
Equation
Equivalent Equations
Identity
Inverse operations
a statement formed when an equal sign is placed between two e…
Equations that have the same solution as the original equation
An eqaution that is true for all values of the variables
operations that undo each other
Equation
a statement formed when an equal sign is placed between two e…
Equivalent Equations
Equations that have the same solution as the original equation
12 terms
Solving Linear Equations in Algebra 1
7a-2(a-1)=17
2(b+3)=4b-2
5d+17=4(d+3)
3(m-5)=6(m+1)
3
4
-5
-7
7a-2(a-1)=17
3
2(b+3)=4b-2
4
Algebra 1 Unit 2 Solving Linear Equations
Solve
Point of Intersection
Absolute Value Equations
Absolute Value Inequalities
Find the value of a variable
The point where two or more lines or curves cross
An equation containing absolute value symbols
An inequality containing absolute value symbols
Solve
Find the value of a variable
Point of Intersection
The point where two or more lines or curves cross
10 terms
Algebra 1 Chapter 1 Solving Linear Equations
conjecture
theorem or rule
equation
linear equation in one variable
an unproven statement about a general mathematical concept
a proven statement about a general mathematical concept
a statement that two expressions are equal
an equation that can be written in the form ax + b = 0, where…
conjecture
an unproven statement about a general mathematical concept
theorem or rule
a proven statement about a general mathematical concept
27 terms
Chapter 1: Linear Equations in Linear Algebra
Linear Equation
Linear System
Solution
Solution Set
An equation that can be written in the form:... a1x1+a2x2+...+an…
A collection of one or more linear equations involving the sa…
A list (s1, s2, ..., sn) of numbers that makes each equation…
The set of all possible solutions for a given system
Linear Equation
An equation that can be written in the form:... a1x1+a2x2+...+an…
Linear System
A collection of one or more linear equations involving the sa…
20 terms
Algebra Keystone Review - Module 1 Linear Equations
x<-9
8
(1, 1)
x<2 or x >20
Solve this inequality:... (hint: flip the symbol when you ÷ or ×…
Solve for x:... 4(x-5)=12
What is the solution?... (hint: 2nd, CALC, 5, enter, enter, ente…
Solve this compound "or" inequality:... 5x<10 or .5x>10
x<-9
Solve this inequality:... (hint: flip the symbol when you ÷ or ×…
8
Solve for x:... 4(x-5)=12
54 terms
Chapter 1: Linear Equations in Linear Algebra
When is a system of linear equations c…
When is a system of linear equations i…
When do 2 linear systems have the same…
(Row) Echelon Form
When it has either one solution or infinitely many solutions
When it has no solution
If their augmented matrices are row equivalent
1) All nonzero rows are above any rows of all zeros... 2) Each l…
When is a system of linear equations c…
When it has either one solution or infinitely many solutions
When is a system of linear equations i…
When it has no solution
10 terms
Algebra 2 - Linear Equations
Linear Function
Linear Equation
Dependent Variable
Independent Variable
Function whose graph is a line.
Represents linear functions.
Y is called this.
X is called this.
Linear Function
Function whose graph is a line.
Linear Equation
Represents linear functions.
20 terms
Algebra 1: Linear Equations (Multi-Step, Matching)
0
2
3
4
0
2
Algebra 1 3.1 linear equations
A(B+C)=A+AC
if A=B then AC=BC then what property i…
If A=B then A+B+C
If A=B Then A-C=B-C
Distributive
Multiplacation
Addition
Subtraction
A(B+C)=A+AC
Distributive
if A=B then AC=BC then what property i…
Multiplacation
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…
10 terms
Algebra 1 Test; Linear Equations
Linear Equation
Standard Form
Rules of Standard Form
To graph on a calculator
An equation that forms a straight line when graphed. It does…
Ax + By = C
- A has to be greater than or equal to zero... - A and B are bot…
Y=, enter the number, GRAPH
Linear Equation
An equation that forms a straight line when graphed. It does…
Standard Form
Ax + By = C
14 terms
Algebra 1-Unit 6: Systems of Linear Equations
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.
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…
14 terms
EL Algebra Chapter 7: Linear Equations
lattice points
Greek Alphabet
slope
horizontal
places where lines cross on a graph
how steep the line is
sideways, flat
lattice points
places where lines cross on a graph
Greek Alphabet
10 terms
Algebra I Solving Linear Equations
Inverse Operations
Equivalent Equations
Identity
Ratio
Two operations that undo each other.
Equations that have the same solutions.
An equation that is true for all values of the variable.
A comparison of two numbers using division.
Inverse Operations
Two operations that undo each other.
Equivalent Equations
Equations that have the same solutions.
20 terms
Algebra Keystone Review - Module 1 Linear Equations
x<-9
8
(1, 1)
x<2 or x >20
Solve this inequality:... (hint: flip the symbol when you ÷ or ×…
Solve for x:... 4(x-5)=12
What is the solution?... (hint: 2nd, CALC, 5, enter, enter, ente…
Solve this compound "or" inequality:... 5x<10 or .5x>10
x<-9
Solve this inequality:... (hint: flip the symbol when you ÷ or ×…
8
Solve for x:... 4(x-5)=12
25 terms
Algebra I: Write Linear Equations
slope intercept form
point slope form
y - intercept
How to Write a Linear Function... Ex: Wri…
where m is the slope and (x1, y1) is a point on the line... Thi…
the y-coordinate of the point where the line crosses the y-axis
1 - Write ƒ(0) = 5 as (0, 5) and ƒ(4) = 17 as (4, 17)... 2 - Cal…
slope intercept form
point slope form
where m is the slope and (x1, y1) is a point on the line... Thi…
13 terms
Algebra I Writing Linear Equations
Point-Slope Form
Converse of a conditional
Perpendicular Lines
Scatter Plot
An equation of a non-vertical line written in form y-y1 = m(x…
A statement formed by interchanging the hypothesis and the co…
Two lines in the same plane that intersect to form a right an…
A graph used to determine whether there is a relationship or…
Point-Slope Form
An equation of a non-vertical line written in form y-y1 = m(x…
Converse of a conditional
A statement formed by interchanging the hypothesis and the co…
10 terms
Linear Equations - Algebra
Slope definition
Slope formula
Horizontial
Vertical
rate of change
y2-y1 / x2 - x1
m = 0
m = undefined
Slope definition
rate of change
Slope formula
y2-y1 / x2 - x1
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…
linear equations algebra
Subtraction Property of Equality
Addition Property of Equality
Division Property of Equality
Multiplication Property of Equality
If a = b, then a - c = b - c. Subtracting equal amounts from…
If a = b, then a + c = b + c. Adding equal amounts to each si…
If a = b and c does not equal 0, then a/c = b/c. Dividing eac…
If A = B, then AC = BC. Multiplying each side of an equatio…
Subtraction Property of Equality
If a = b, then a - c = b - c. Subtracting equal amounts from…
Addition Property of Equality
If a = b, then a + c = b + c. Adding equal amounts to each si…
Linear Algebra Section 1.1: Systems of linear equations
Suppose we have a final solution set o…
How are two linear systems equivalent?
How do you solve a linear system?
A matrix with size 3x4 is: ___________…
infinite
They share the same solution sets
Replace the l.s. with one that is equivalent but "simpler", t…
augumented matrix
Suppose we have a final solution set o…
infinite
How are two linear systems equivalent?
They share the same solution sets
42 terms
Algebra 1 Linear Equations in Two Variables
The Rectangular Coordinate System
On the x-axis
On the y-axis
We can represent a specific location,…
is made up of a horizontal number line and a vertical number…
the positive direction is to the right and the negative direc…
the positive direction is up and the negative direction is do…
These two numbers make up an ordered pair; we write an ordere…
The Rectangular Coordinate System
is made up of a horizontal number line and a vertical number…
On the x-axis
the positive direction is to the right and the negative direc…
15 terms
Algebra 1 Module 6 Forms of Linear Equations
Slope-Intercept Form of an Equation
Point-Slope Form
Family of Functions
Parent Function
If a line has slope m and y-intercept (0, b), then the line i…
The line with slope m that contains the point (x₁, y₁) can be…
A set of functions whose graphs have basic characteristics in…
The most basic function of a family of functions.
Slope-Intercept Form of an Equation
If a line has slope m and y-intercept (0, b), then the line i…
Point-Slope Form
The line with slope m that contains the point (x₁, y₁) can be…
Algebra 1 Linear Equations in Two Variables
The Rectangular Coordinate System
On the x-axis
On the y-axis
We can represent a specific location,…
is made up of a horizontal number line and a vertical number…
the positive direction is to the right and the negative direc…
the positive direction is up and the negative direction is do…
These two numbers make up an ordered pair; we write an ordere…
The Rectangular Coordinate System
is made up of a horizontal number line and a vertical number…
On the x-axis
the positive direction is to the right and the negative direc…
20 terms
Algebra Keystone Review - Module 1 Linear Equations
x<-9
8
(1, 1)
x<2 or x >20
Solve this inequality:... (hint: flip the symbol when you ÷ or ×…
Solve for x:... 4(x-5)=12
What is the solution?... (hint: 2nd, CALC, 5, enter, enter, ente…
Solve this compound "or" inequality:... 5x<10 or .5x>10
x<-9
Solve this inequality:... (hint: flip the symbol when you ÷ or ×…
8
Solve for x:... 4(x-5)=12
Algebra 1- Solving Systems of Linear Equations by Graphing
Indepent System
Inconsistent Sytem
Dependent System
Consistent
The lines intercept at 1 point and have 1 unique solution
The lines are parallel have no solution.
There are two equations for the same line. They have an infin…
(Intercepts)
Indepent System
The lines intercept at 1 point and have 1 unique solution
Inconsistent Sytem
The lines are parallel have no solution.
Linear Algebra Section 1.3: Vector equations
How can a linear system and their prop…
R^n
Vectors in R^2 represents:
Geometric interpretation
Using th concept of vectors
the set of all vectors of size n?
v = (v1, v2)
u + v represented by a diagonal arrow in a parallelogram
How can a linear system and their prop…
Using th concept of vectors
R^n
the set of all vectors of size n?
12 terms
Linear Algebra: Systems of equations
Graphically, a system of equations has…
Graphically, a system of equations has…
The three possible solutions for a sys…
A system has infinite solutions if:
They are parallel lines. They never intersect so there's no w…
at the point of intersection. The point where lines have a co…
- no solution... - infinite solutions ... - a unique solution
The equations are equal.... Same slope and y-intercept.
Graphically, a system of equations has…
They are parallel lines. They never intersect so there's no w…
Graphically, a system of equations has…
at the point of intersection. The point where lines have a co…
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
1 of 10