# Study sets matching "math 103 algebra"

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variable

algebraic expression

constant term

coefficient

The letters x and y are often used as variables, although any…

An algebraic expression has one or more variables and can be w…

A term that has no variable is called a constant term.

A number that is multiplied by variables is called the coeffic…

variable

The letters x and y are often used as variables, although any…

algebraic expression

An algebraic expression has one or more variables and can be w…

variable

algebraic expression

constant term

coefficient

The letters x and y are often used as variables, although any…

An algebraic expression has one or more variables and can be w…

A term that has no variable is called a constant term.

A number that is multiplied by variables is called the coeffic…

variable

The letters x and y are often used as variables, although any…

algebraic expression

An algebraic expression has one or more variables and can be w…

Commutative Property

Associative Property

Distributive Property

Identity property

Numbers can be added or multiplied in any way and the answer s…

Numbers can be ''grouped'' in any way in addition or multiplic…

When a number is multiplied by the sum of 2 other numbers, the…

The sum of any number the product of 1 and any number is that…

Commutative Property

Numbers can be added or multiplied in any way and the answer s…

Associative Property

Numbers can be ''grouped'' in any way in addition or multiplic…

Coordinate Plane

x-axis

y-axis

Quadrants

Formed by the intersection of two number lines, the horizontal…

The horizontal axis on a coordinate plane.

The vertical axis on a coordinate plane.

The four regions into which the x-axis and y-axis separate the…

Coordinate Plane

Formed by the intersection of two number lines, the horizontal…

x-axis

The horizontal axis on a coordinate plane.

Absolute Value

Absolute Value Function

Addition Property

Algebraic

The distance between 0 and the point representing the real num…

When graphed this function forms a v shape.

For all real numbers a, b, and c: if a=b, then a + c = b + c.…

Involving the use of variables, properties, expressions, and e…

Absolute Value

The distance between 0 and the point representing the real num…

Absolute Value Function

When graphed this function forms a v shape.

Commutative Property

Associative Property

Distributive Property

Identity property

Numbers can be added or multiplied in any way and the answer s…

Numbers can be ''grouped'' in any way in addition or multiplic…

When a number is multiplied by the sum of 2 other numbers, the…

The sum of any number the product of 1 and any number is that…

Commutative Property

Numbers can be added or multiplied in any way and the answer s…

Associative Property

Numbers can be ''grouped'' in any way in addition or multiplic…

Identity, Conditional, Contradiction

Identity

Conditional

Contradiction

Name the three types of Equations

Example: x+2=5+x-3... 2=2

Example: x^2-5x+6... x=2 or x=3

Example: x=2=6+x-3... 2=3

Identity, Conditional, Contradiction

Name the three types of Equations

Identity

Example: x+2=5+x-3... 2=2

Pronumeral

Coefficient

Constant

Term

A symbol (usually a letter) that takes the place of a numeral.

A number multiplied by a variable in an algebraic expression.

A value that does not change

A number, a variable, or the product of a number and a variable

Pronumeral

A symbol (usually a letter) that takes the place of a numeral.

Coefficient

A number multiplied by a variable in an algebraic expression.

mathematician who defined the cardinal…

unsay discovery ni George Cantor

George Cantor invented _____________

George cantor was born on _____________…

George Cantor

He is known for discovering and building a hierarchy of infini…

inventing the Cantor set, which is now a fundamental theory in…

March 3, 1845 in Saint Petersburg, Russia... January 6, 1918, Hal…

mathematician who defined the cardinal…

George Cantor

unsay discovery ni George Cantor

He is known for discovering and building a hierarchy of infini…

majority rule

Popular Vote

Electoral Vote

Filibuster

the choice receiving more than 50% of the vote is the winner... *…

reflects the total number of votes received by each candidate

not directly the votes of the people but meant to represent th…

a technique used to prevent voting on a bill, stalling ... -senat…

majority rule

the choice receiving more than 50% of the vote is the winner... *…

Popular Vote

reflects the total number of votes received by each candidate

Consistent Rules

Rules for Ax=b

trivial solution

non-trivial solution

1) Is there a contradiction?... 2) Is there a free variable?... 3) I…

1) If A has a pivot in every row, then Ax=b is consistent... 2) I…

1) solution is 0... 2) if and only if the columns of A are linear…

1) solution is not 0... 2) if and only if the equation has at lea…

Consistent Rules

1) Is there a contradiction?... 2) Is there a free variable?... 3) I…

Rules for Ax=b

1) If A has a pivot in every row, then Ax=b is consistent... 2) I…

Union

Intersection

Difference

Complement

AUB=Set of elements that are in either A or in B or in both.

A ∩ B of two sets A and B is the set that contains all element…

A-B={x:x in A and x not in B}. set of elements in A but not in…

set of elements not in A. In other words, if U is the universe…

Union

AUB=Set of elements that are in either A or in B or in both.

Intersection

A ∩ B of two sets A and B is the set that contains all element…

Rational

Irrational

Whole Number

Natural Number

a number that can be written in a/b form but b is a non-zero i…

Numbers that can't be written in from of a/b where a os an int…

Counting numbers with zero (0, 1, 2, 3 ,4 etc.)

Counting numbers (1, 2, 3, 4 etc.)

Rational

a number that can be written in a/b form but b is a non-zero i…

Irrational

Numbers that can't be written in from of a/b where a os an int…

Terms

Variable

Coefficient

Constant term

Parts separated by a plus or minus sign in an equation, such a…

An alphabetic character representing a number. Such as in 5x t…

The numeral part of a term is called the coefficient of a vari…

A term with no variables. Such as +8. it is constant because i…

Terms

Parts separated by a plus or minus sign in an equation, such a…

Variable

An alphabetic character representing a number. Such as in 5x t…

Variable

Numerical Coefficient

Literal Coefficient

Term

a symbol or letter that represents an unknown value

a number used to multiply to a variable

expressed in letters or letters and figures

expressions seperated by another operation

Variable

a symbol or letter that represents an unknown value

Numerical Coefficient

a number used to multiply to a variable