# Study sets matching "math 103 algebra"

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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…

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…

integer

absolute value

opposites

reciprocal

The set of numbers { . . . −3, −2, −1, 0, 1, 2, 3, . . . }

The distance a number is from zero on a number line

numbers equal distance from zero but on different sides of zero

one of a pair of numbers whose product is 1: the reciprocal of…

integer

The set of numbers { . . . −3, −2, −1, 0, 1, 2, 3, . . . }

absolute value

The distance a number is from zero on a number line

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.

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…

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.

Variable

Term

Constant Term

Coefficient

A letter or symbol used to represent an unknown number.

A number or a variable or a product or quotient of numbers and…

If an expression has a term that is a number (without a variab…

The number in front of each term.

Variable

A letter or symbol used to represent an unknown number.

Term

A number or a variable or a product or quotient of numbers and…

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.

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…

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

AXsquared+ BX+ C

If A and B are algebraic expressions su…

If AXsquared+BX+C and Acant=0 then

If Y varies directly as X(or y is direc…

Quadratic formula

The Zero Product Principle

Quadratic Formula

Direct Variation

AXsquared+ BX+ C

Quadratic formula

If A and B are algebraic expressions su…

The Zero Product Principle

Equation

Variable

Coefficent

Constant

Math sentence that must include an equal sign.

Letter or symbol that represents an unknown number.

Positive or negative number that the variable is being multipl…

Any real number that does not have a variable attached.

Equation

Math sentence that must include an equal sign.

Variable

Letter or symbol that represents an unknown number.

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…

Variable

Constant

Algebraic Expression

Evaluate

a letter or symbol that represents a quantity that can change.

A quantity that does not change

An expression that contains one or more variables and may cont…

Substitute a number for the variable and then find the value b…

Variable

a letter or symbol that represents a quantity that can change.

Constant

A quantity that does not change

Term

Scalene Triangle

Vertex

Scatter Plot

Part of an expression separated by an addition or subtraction…

A triangle with no equal sides.

A point common to both sides of an angle.

A 2-dimensional coordinate graph of individual points.

Term

Part of an expression separated by an addition or subtraction…

Scalene Triangle

A triangle with no equal sides.