# Study sets matching "term:algebra = solutions"

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system of equations

two intersecting ... lines

two parallel lines

two lines which... lie on the same path

set of at least ... two equations

One solution

no solution

infinite solution

system of equations

set of at least ... two equations

two intersecting ... lines

One solution

statements are unlike equations because…

finite number of solutions, each is cal…

quadratic equation

to quickly find the roots of a quadrati…

equals sign

root

x=-b±√(b²-4ac)/2a

factorise

statements are unlike equations because…

equals sign

finite number of solutions, each is cal…

root

2 complex (imaginary) roots

1 real rational double root (DR)

2 real rational roots

2 real irrational roots

d < 0 (negative #)

d = 0

d > 0 (positive, perfect square)

d > 0 (positive, not a perfect square)

2 complex (imaginary) roots

d < 0 (negative #)

1 real rational double root (DR)

d = 0

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 a…

equations having all common solutions

a system of linear equations that do not contain any common po…

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 a…

consistent independent solution

consistent dependent

inconsistent system

system of linear equations

-exactly one solution... -lines intersect ... -lines are distinct

-same line... -infinitely many solutions... -same slope and y-interc…

-parallel(same slope)... -no solution... -same slope dif y-int

consists of 2 or more linear equations in the same variables

consistent independent solution

-exactly one solution... -lines intersect ... -lines are distinct

consistent dependent

-same line... -infinitely many solutions... -same slope and y-interc…

Equation

(A acute) a is greater than or equal to…

(A acute) (a is less than b) a is less…

(A acute) (a is less than b) a is equal…

h = b sin A

one triangle

no solution

one solution

Equation

h = b sin A

(A acute) a is greater than or equal to…

one triangle

absolute value

IxI symbol means:

Select the graph for the solution of th…

Select the graph for the solution of th…

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_201…

absolute value

the distance from zero on the number line

IxI symbol means:

the absolute value of some number x

#3. y=(x-1)(x+3). ... Find the x-intercep…

#8. y=(x-2)(x+2). ... Graph, find the ver…

#8. The Graph to the above equation.

#13. y= x^2 -9 (x squared minus 9)... Gra…

#3. y=(x-1)(x+3). ... Find the x-intercep…

#8. y=(x-2)(x+2). ... Graph, find the ver…

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 a…

equations having all common solutions

a system of linear equations that do not contain any common po…

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 a…

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 a…

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 a…

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.

absolute value

additive inverse

algebraic expression

associative property

The distance between a real number and zero on a number line.

The opposite of a number. When added together, the sum is zero.

A collection of numbers and variables with at least one arithm…

The grouping of terms within expressions involving addition or…

absolute value

The distance between a real number and zero on a number line.

additive inverse

The opposite of a number. When added together, the sum is zero.

absolute value

Absolute Value is always positive.

Solve |2x - 5| = 4.

The graph of which of the following ine…

the distance from zero on the number line

True

{x | x = 0.5 or x = 4.5}

|x + 3| < 5

absolute value

the distance from zero on the number line

Absolute Value is always positive.

True

Homogeneous coordinates

Homogeneous equation

Homogeneous form

Trivial Solution

In R3 the representation of (x,y,z) as (X,Y,Z,H) for and H ≠ 0…

An equation of the form Ax = 0. Possibly written as a vector e…

Of (a vector) v in R^n. The point v = [v... 1] in R^n+1

The solution x = 0 of a homogeneous equation Ax = 0.

Homogeneous coordinates

In R3 the representation of (x,y,z) as (X,Y,Z,H) for and H ≠ 0…

Homogeneous equation

An equation of the form Ax = 0. Possibly written as a vector e…

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 multipli…

when a number outside parentheses multiples with all the terms…

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)

#57. Write the quadratic function repre…

#60. Write the quadratic function repre…

#62. Use zeros to graph the function.…

#68. Use zeros to graph the function.…

#57. Write the quadratic function repre…

#60. Write the quadratic function repre…