How can we help?

You can also find more resources in our Help Center.

Study sets matching "algebra linear equations chapter 7"

Study sets
Classes
Users

Study sets matching "algebra linear equations chapter 7"

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
8 terms
Chapter 7 Linear Equations
slope
y-intercept
x-intercept
scatter plot
ration of the vertical change (rise) to the horizontal change…
where a point crosses the y axis
where point crosses the x-axis
graph that shows the general relationship between 2 sets of d…
slope
ration of the vertical change (rise) to the horizontal change…
y-intercept
where a point crosses the y axis
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…
16 terms
Algebra - Chapter 2 Linear Equations
Consecutive integers
Equivalent equations
Extremes
Formula
Integers in counting order
Equations that have the same solution.
In the ratio a/b = c/d, the a and d.
An equation that states a rule for the relationship between c…
Consecutive integers
Integers in counting order
Equivalent equations
Equations that have the same solution.
31 terms
Combo Chapter 7 - Linear Equations
slope
+ slope
Zero slope
= m = rise/run = (y₂-y₁)/(x₂-x₁) = ∆y/∆x = vertical ∆/horizon…
change
goes up to the right
The slope of every horizontal line is 0.
slope
= m = rise/run = (y₂-y₁)/(x₂-x₁) = ∆y/∆x = vertical ∆/horizon…
change
14 terms
Algebra 1: Linear Equations
Rate of change
Slope
The Slope Formula
Positive Slope
Rate of change
Slope
8 terms
Linear Algebra: Chapter 7
Vector Space
Additive Inverse
Span
P
a vector space consists of a set V of vectors together with o…
opposite so that A+(-A)=0
set of all linear combinations of the form c1v1+c2v2+...+cmvm
the set of polynomials with real coefficents
Vector Space
a vector space consists of a set V of vectors together with o…
Additive Inverse
opposite so that A+(-A)=0
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.
11 terms
Combo Chapter 7 - Linear Equations
slope
+ slope
Zero slope
= m = rise/run = (y₂-y₁)/(x₂-x₁) = ∆y/∆x = vertical ∆/horizon…
change
goes up to the right
The slope of every horizontal line is 0.
slope
= m = rise/run = (y₂-y₁)/(x₂-x₁) = ∆y/∆x = vertical ∆/horizon…
change
21 terms
Algebra 1 Linear Equations
D
A
D
B
D
A
34 terms
Algebra Chapter 2 Graphing and Writing Linear Equations
slope
slope triangle
rise
run
the ratio of rise over run of a line; its steepness or flatness
a triangle drawn to show rise and run
the amount of change on the y-coordinates
the amount of change on the x-coordinates
slope
the ratio of rise over run of a line; its steepness or flatness
slope triangle
a triangle drawn to show rise and run
13 terms
Linear Algebra Chapter 7.1
An nxn matrix that is orthogonally dia…
If A^T = A and if vectors u and v sati…
An n x n symmetric matrix has n distin…
For a nonzero v in R^n, the matrix vv^…
True
True
False, there are n eigenvalues, but the eigenvalues do not ha…
False
An nxn matrix that is orthogonally dia…
True
If A^T = A and if vectors u and v sati…
True
25 terms
Algebra Chapter 4 Graphing Linear Equations
quadrant
abscissa
ordinate
ordered pair
One of 4 regions of the coordinate plane formed by the inters…
The x-coordinate of an ordered pair.
The y-coordinate of an ordered pair.
Describes a location on the coordinate plane, with the x-coor…
quadrant
One of 4 regions of the coordinate plane formed by the inters…
abscissa
The x-coordinate of an ordered pair.
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…
15 terms
Linear Algebra Chapter 7.2
a. The matrix of a quadratic form is a…
b. A quadratic form has no cross-produ…
c. The principal axes of a quadratic f…
d. A positive definite quadratic form…
True
True
True
False, Q(x) = 0 when x = 0
a. The matrix of a quadratic form is a…
True
b. A quadratic form has no cross-produ…
True
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…
22 terms
Chapter 7 - Solving Systems of Linear Equations
(-4, -1)
(-4, 4)
(-3, 3)
(-1, 1)
Solve
Solve
Solve
Solve
(-4, -1)
Solve
(-4, 4)
Solve
79 terms
Apex Algebra Unit 7: Linear Equations
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…
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
19 terms
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…
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…
13 terms
Algebra Unit 4: Linear Equations Vocabulary
linear equation
slope
y-intercept
x-intercept
An equation in two variables whose graph is a straight line.
The steepness of a line. A ratio comparing the change in y ov…
The point where a graph crosses the y-axis. The value of the…
The point where a graph crosses the x-axis. The value of the…
linear equation
An equation in two variables whose graph is a straight line.
slope
The steepness of a line. A ratio comparing the change in y ov…
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
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…
12 terms
Algebra Chapter 2- Linear Equations
Formula
Multi step equations
Identity
Ratio
Any equation that states a rule for the relationship between…
An Equation with more than one step
An equation with a variable has infinite possibilities
A comparison of two numbers by division
Formula
Any equation that states a rule for the relationship between…
Multi step equations
An Equation with more than one step
31 terms
Linear equations forms and terms - Algebra
linear equation
expression
equation
coefficient
An equation in two variables whose graph in a coordinate plan…
A mathematical sentence without an equal sign.
A mathematical sentence that contains an equal sign.
A number multiplied by a variable in an algebraic expression…
linear equation
An equation in two variables whose graph in a coordinate plan…
expression
A mathematical sentence without an equal sign.
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
14 terms
Algebra (Chap 2) - Linear Equations
Formula
Solve an Equation
Equivalent Equations
Multi-Step Equations
A mathematical relationship or rule expressed in symbols.
The process of finding all values of the variable that make t…
equations that have the same solution
Equations with more than one operation.
Formula
A mathematical relationship or rule expressed in symbols.
Solve an Equation
The process of finding all values of the variable that make t…
20 terms
Algebra-Chapter 6 Linear Equations and Their Graphs
coordinate plan
ordered pair
quadrants
x-axis
A plane formed by two numbers lines that intersect at right a…
Two numbers that identify the location of a point.
The four parts into which the coordinate plane is divided by…
The horizontal axis of the coordinate plane.
coordinate plan
A plane formed by two numbers lines that intersect at right a…
ordered pair
Two numbers that identify the location of a point.
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…
7 terms
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…
15 terms
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
20 terms
Algebra Vocabulary - Linear Equations
Ordered Pair
y-intercept
Horizontal
Parallel
(x,y)
where the line crosses the y-axis
________________
| |
Ordered Pair
(x,y)
y-intercept
where the line crosses the y-axis
10 terms
3 Algebraic Linear Equations
inconsistent equation
consistent equation
identity
equivalent equations
an equation with no solution
an equation with one solution
an equation that is true for all values of the variable
equations that have the same solution... EX: x+1=9 and x-2=6 bot…
inconsistent equation
an equation with no solution
consistent equation
an equation with one solution
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
19 terms
mgroves 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 equations algebraic
the coefficents of one variable must b…
cross out the negative and positive va…
add the two equations to eliminate the…
plug your answer from step 3 into eith…
step 1
step 2
step 3
step 4
the coefficents of one variable must b…
step 1
cross out the negative and positive va…
step 2
16 terms
Algebra II chapter two Linear equations
What is the point at which a line cros…
what is the point at which a line cros…
What is the standard form of a linear…
What is the definition of slope?
Y intercept
x intercept
Ax+By=C
rise... _____... run
What is the point at which a line cros…
Y intercept
what is the point at which a line cros…
x intercept
8 terms
Algebra - solving linear equations
solve an equation
equivalent equations
linear equation
linear equation with two variables
find values that satisfy the equation
two equations that have the same solutions
one or more variables in which each term in the equation is e…
solved by an ordered pair; (x,y)
solve an equation
find values that satisfy the equation
equivalent equations
two equations that have the same solutions
18 terms
Algebra - Linear Equations
x is also called the ?
y is also called the ?
slope intercept form
standard form
abscissa
ordinate
x is also called the ?
abscissa
y is also called the ?
ordinate
14 terms
Algebra 1 Pre-AP Chapter 4: Equations of Linear Functions
slope intercept form
constant function
constraint
linear extrapolation
the equation of a straight line in the form y = mx + b where…
Consistent horizontal, slope = 0 (Horizontal line)
a condition that a solution must satisfy
The use of a linear equation to predict values that are outsi…
slope intercept form
the equation of a straight line in the form y = mx + b where…
constant function
Consistent horizontal, slope = 0 (Horizontal line)
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
18 terms
algebra graphing linear equations
What are the coordinates of a point th…
what is an x-intercept
what are the two definitions of slope
what is a y-intercept
(x, y)
where the graph crosses the x axis
rise/run or
The coordinate of where the line intersects (crosses) the y-a…
What are the coordinates of a point th…
(x, y)
what is an x-intercept
where the graph crosses the x axis
19 terms
Algebra 2 Chapter 2 Linear Equations and Functions
Ways a Relation Can be Represented
Vertical Line Test
Graphing Equations in Two Variables
Discrete and Continuous Functions
Ordered Pairs... Table... Graph ... Mapping Diagram
A relation is a function iff no vertical line intersects the…
1. Construct a table of values... 2. Plot enough points from the…
Discrete func.- consists of separate points ... Continuous func.…
Ways a Relation Can be Represented
Ordered Pairs... Table... Graph ... Mapping Diagram
Vertical Line Test
A relation is a function iff no vertical line intersects the…
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.
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…
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
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…
13 terms
Algebra I: Write Linear Equations
slope intercept form
point slope form
y - intercept
How to Write an Equation of a Line in…
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 - Identify the slope m. You can use the slope formula if yo…
slope intercept form
point slope form
where m is the slope and (x1, y1) is a point on the line... Thi…
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.
1 of 10