# Study sets matching "equations math linear"

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rational number

irrational number

equivalent

integers

A number that can be written as a fraction

Any number that can't be written as an integer over an integer…

Equal

All whole numbers (both positive and negative) and zero.

rational number

A number that can be written as a fraction

irrational number

Any number that can't be written as an integer over an integer…

rate of change

slope

y-coordinate

linear equation

A ratio that compares the amount of change in a dependent vari…

A measure of the steepness of a line on a graph; the rise divi…

The second number in an ordered pair; it tells the distance to…

An equation whose solutions form a straight line on a coordina…

rate of change

A ratio that compares the amount of change in a dependent vari…

slope

A measure of the steepness of a line on a graph; the rise divi…

rational number

irrational number

equivalent

integers

A number that can be written as a fraction

Any number that can't be written as an integer over an integer…

Equal

All whole numbers (both positive and negative) and zero.

rational number

A number that can be written as a fraction

irrational number

Any number that can't be written as an integer over an integer…

rate of change

slope

y-coordinate

linear equation

A ratio that compares the amount of change in a dependent vari…

A measure of the steepness of a line on a graph; the rise divi…

The second number in an ordered pair; it tells the distance to…

An equation whose solutions form a straight line on a coordina…

rate of change

A ratio that compares the amount of change in a dependent vari…

slope

A measure of the steepness of a line on a graph; the rise divi…

Combination

Substitution

Graphing

Solution

Adding two linear equations together to rid one variable

Solving one equation for a variable and replacing that variabl…

plotting two lines to find where they intersect

the variable values that solve the linear equations

Combination

Adding two linear equations together to rid one variable

Substitution

Solving one equation for a variable and replacing that variabl…

Graphing

Two linear equations graphically

Solving Linear Equations in One variable

Linear Equation One Variable Example

Linear equations are written in form of y=mx+b, where m is the…

find the point on the graph where the two lines cross. Fore ex…

This is first step in solving more complex systems of equation…

Question: if 5x=4=10x-16 then x=? ... 5x+4(-5x)=10x-16(-5x)... 4=5x-…

Graphing

Linear equations are written in form of y=mx+b, where m is the…

Two linear equations graphically

find the point on the graph where the two lines cross. Fore ex…

Backtracking

Inverse Operation

Flowchart

Equivalent

Backtracking is a method of solving equations that involves un…

Pairs of operations that undo each other. Addition and subtrac…

Flow charts are made up of different boxes, which each have di…

Having the same value. Example:... 60 seconds is equivalent to 1…

Backtracking

Backtracking is a method of solving equations that involves un…

Inverse Operation

Pairs of operations that undo each other. Addition and subtrac…

coefficient

constant

variable

distributive property

the number 5 in the equation 5x + 3 = 2

the number 3 in the equation 5x + 3 = 2

the letter x in the equation 5x + 3 = 2

a ( b + c) = ab + ac

coefficient

the number 5 in the equation 5x + 3 = 2

constant

the number 3 in the equation 5x + 3 = 2

coefficient

variable

solution

equivalent

(numerical) A number multiplying a variable or product of vari…

A symbol used to represent one or more numbers. In this course…

The number or numbers that when substituted into an equation o…

Two expressions are equivalent if they have the same value. Fo…

coefficient

(numerical) A number multiplying a variable or product of vari…

variable

A symbol used to represent one or more numbers. In this course…

relation

domain

range

mapping

a set of ordered pairs {(1,-2) (3,4) (0,-2)}

x coordinate (1st coordinate in an ordered pair)

y coordinate (2nd coordinate in an ordered pair)

used to illustrate relation between domain and range

relation

a set of ordered pairs {(1,-2) (3,4) (0,-2)}

domain

x coordinate (1st coordinate in an ordered pair)

Addition property of equality

multiplication property of equality

solving linear and literal equations st…

3 ways to check work

if a & b & c are elements of the real number system and a=b, t…

if a & b & c are elements of the real number system and a=b, t…

1 Clear fractions (multiplicative property of equality) 2 simp…

inspection, manually, on calculator

Addition property of equality

if a & b & c are elements of the real number system and a=b, t…

multiplication property of equality

if a & b & c are elements of the real number system and a=b, t…

What does proportional mean ?

Equations

On a graph, what is the vertical and wh…

what does y= ? and what does x=?

- starts at 0,0... - starts at the origin... - forms a straight line

y=mx represents proportional relationships.

vertical- y-axis... horizontal- x-axis

y= dependent ... x= independent

What does proportional mean ?

- starts at 0,0... - starts at the origin... - forms a straight line

Equations

y=mx represents proportional relationships.

Increasing

Decreasing

Horizontal

Vertical

If the slope of the line is positive the line is

If the slope of the line is negative then the line is

If the slope of the line is 0 then the line is

If the slope of a line is undefined because we cannot divide b…

Increasing

If the slope of the line is positive the line is

Decreasing

If the slope of the line is negative then the line is

Absolute Value

Coefficient

Constant

Term

The absolute value of x is the distance from zero to x on a nu…

A number that is multiplied by a variable

A value that does not change

Each set of quantities in a ratio, series or mathematical expr…

Absolute Value

The absolute value of x is the distance from zero to x on a nu…

Coefficient

A number that is multiplied by a variable

from slope and a point

from slope and y- intercept

from a graph

from two points

substitute the slope m and the coordinate of the point in y-y1…

substitute the slope m and y intercept b in y=mx+b

find the y- intercept b and the slope m from the graph then su…

Use the coordinates of the points to find the slope substitute…

from slope and a point

substitute the slope m and the coordinate of the point in y-y1…

from slope and y- intercept

substitute the slope m and y intercept b in y=mx+b

Coefficients

Distributive property

Equations

Equivalent

A number used to multiply a variable

The distributive law says that multiplying a number by a group…

An equation says that two things are equal.It will have an equ…

Having the same value.

Coefficients

A number used to multiply a variable

Distributive property

The distributive law says that multiplying a number by a group…

expression

distributive property

variable

term

a mathematical phrase that includes the sums and/or products o…

For every real number a, b, and c: a(b + c) = ab +

a symbol, usually a letter, that represents one or more numbers

a number, variable, or the product or quotient of a number and…

expression

a mathematical phrase that includes the sums and/or products o…

distributive property

For every real number a, b, and c: a(b + c) = ab +

Linear Equation

Standard Form

Constant

X Intercept

An equation that forms a line when graphed

Linear equations written in the form Ax+By=C

A term without a variable

Where the graph of an equation crosses the X axis

Linear Equation

An equation that forms a line when graphed

Standard Form

Linear equations written in the form Ax+By=C