#### Study sets matching "equations math linear"

#### Study sets matching "equations math linear"

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 intege…

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 intege…

rate of change

slope

y-coordinate

linear equation

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

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

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

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

rate of change

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

slope

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

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 intege…

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 intege…

Addition property of equality

multiplication property of equality

solving linear and literal equations s…

3 ways to check work

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

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

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

inspection, manually, on calculator

Addition property of equality

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

multiplication property of equality

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

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)

What does proportional mean ?

Equations

On a graph, what is the vertical and w…

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.

Absolute Value

Coefficient

Constant

Term

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

A number that is multiplied by a variable

A value that does not change

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

Absolute Value

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

Coefficient

A number that is multiplied by a variable

expression

distributive property

variable

term

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

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 an…

expression

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

distributive property

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

Equation

Variable

Constant

Numerical coefficient

A mathematical statement

A letter that represents an unknown number

A number that doesn't change

A number that multiplies the variable. (2x+4 the nc is 2)

Equation

A mathematical statement

Variable

A letter that represents an unknown number

Intersect

Parallel

Same Line

x=7... y=8... z=9

One point, independent, slopes are not equal

0 points... Inconsistent... Slopes = y intersects don't

Infinite number of points... Dependent... Slopes and y intercept =

Parallel to yz plane... Parallel to xz plane... Parallel to xy plan…

Intersect

One point, independent, slopes are not equal

Parallel

0 points... Inconsistent... Slopes = y intersects don't

1st Step

2nd step

3rd step

4th step

look for and apply distibtive propertys

combine like terms

equlize varabiles on one side by adding or subtracting

find the numbers on oppisite sides through adding or subtract…

1st Step

look for and apply distibtive propertys

2nd step

combine like terms

Prime numbers

Composite numbers

Product

Sum

Number greater than 1, that only have 2 factors, one and itself

A whole number greater than one that has more than two factors

A result of multiplying, or identifying factors being multipl…

The mathematical process of addition

Prime numbers

Number greater than 1, that only have 2 factors, one and itself

Composite numbers

A whole number greater than one that has more than two factors

DOPS

DOPS expanded

DOPS simplified/ in brackets

Perfect squares

Difference of Perfect square. A binomial expression where eac…

2___2... a -b

(a+b)(a-b)

A binomial expression where the two terms are exactly the sam…

DOPS

Difference of Perfect square. A binomial expression where eac…

DOPS expanded

2___2... a -b

Coefficients

Distributive property

Equations

Equivalent

A number used to multiply a variable

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

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

Having the same value.

Coefficients

A number used to multiply a variable

Distributive property

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

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

What is a linear function

what is the slope

what´s a formula

What's a term

Y=ax+b

a number that describes both the direction and the steepness…

a mathematical relationship or rule expressed in symbols.

number or variable, or numbers and variables multiplied toget…

What is a linear function

Y=ax+b

what is the slope

a number that describes both the direction and the steepness…

Slope

Slope-intercept

Point-slope

Standard

M= y2-y1... ________... X2-x1

Y=mx+b ... Example: m= 2 (2,3)... 3=2(2)+b... 3=4+b... -4 -4... -1=b = y=2x -1

Y-y1=m(x-X1) (2,4) (7,9)... 9-4... _____= 1 = y-4=1(x-2)... ... 7-2

Ax + By = C... Finger trick! ... 3x+5y=15 ... x- 5... y- 3 ... NO FRACTIONS…

Slope

M= y2-y1... ________... X2-x1

Slope-intercept

Y=mx+b ... Example: m= 2 (2,3)... 3=2(2)+b... 3=4+b... -4 -4... -1=b = y=2x -1

Linear Equation

Solutions

Slope

Rise

an equation whose graph is a line

The points on the line of the linear equation

is the rate of change between any two points on a line

(y)= the rise

Linear Equation

an equation whose graph is a line

Solutions

The points on the line of the linear equation

Coefficient

Domain / Input

Equation

Like Terms

A constant that is multiplied by a variable

x-value on coordinate plane

A number sentence with an equal sign

Numbers that have the same variables that can be combined wit…

Coefficient

A constant that is multiplied by a variable

Domain / Input

x-value on coordinate plane

Standard form of a line

Slope- intercept form of a line

y-intercept

Rising Slope (positive)

Ax+By=C (2x+y=4) Set up table

y=mx+b (m=slope & b= y-intercept)

Plot FIRST

Standard form of a line

Ax+By=C (2x+y=4) Set up table

Slope- intercept form of a line

y=mx+b (m=slope & b= y-intercept)

Slope

Y-Intercept

X-Intercept

Slope-Intercept Form

A surface of which one end or side is at a higher level than…

In the equation of a straight line (when the equation is writ…

The graphical concept of x- and y-intercepts is pretty simple…

The slope-intercept form is simply the way of writing the equ…

Slope

A surface of which one end or side is at a higher level than…

Y-Intercept

In the equation of a straight line (when the equation is writ…

linear equation

slope

y-intercept

x-intercept

An equation in two variables whose graph in a coordinate plan…

A ratio comparing the change in output over the change in inp…

The value of the output when the input is zero (0, y). The po…

The value of the input when the output is zero (x, 0). The po…

linear equation

An equation in two variables whose graph in a coordinate plan…

slope

A ratio comparing the change in output over the change in inp…

linear equation

slope

y-intercept

x-intercept

An equation in two variables whose graph in a coordinate plan…

A ratio comparing the change in output over the change in inp…

The value of the output when the input is zero (0, y). The po…

The value of the input when the output is zero (x, 0). The po…

linear equation

An equation in two variables whose graph in a coordinate plan…

slope

A ratio comparing the change in output over the change in inp…

Equation

Addition principal

Multiplication principal

Reciprocals

A statement that two mathematical expressions have the same v…

For any real numbers a, b, and c : a = b implies that a+c = b…

For any real numbers a, b, and c : a = b implies that a×c = b…

Two fractions with their product being the number one. a/b an…

Equation

A statement that two mathematical expressions have the same v…

Addition principal

For any real numbers a, b, and c : a = b implies that a+c = b…

Arithmetic Sequence

Geometric Sequence

Recursive

Common Difference

a sequence in which each term is found by adding the same num…

a sequence in which the ratio of successive terms is a consta…

always uses the preceding term to define the next term of the…

the difference between two numbers in an arithmetic sequence.

Arithmetic Sequence

a sequence in which each term is found by adding the same num…

Geometric Sequence

a sequence in which the ratio of successive terms is a consta…

coefficients

equivalent

solution set

isolate the variable

the number part of a term that contains a variable

equal to

all the numbers that satisfy an equation or inequality

get the variable with a coefficient of one alone on one side…

coefficients

the number part of a term that contains a variable

equivalent

equal to

positive slope

coefficient

slope-intercept form

constant

A line that slants upward from left to right.

A numerical factor in a term of an algebraic expression or eq…

A form of a linear equation, y=mx +/- b, where m=slope and b=…

A quantity that always stays the same.

positive slope

A line that slants upward from left to right.

coefficient

A numerical factor in a term of an algebraic expression or eq…

function

domain

range

independent variable

a special type of relation that pairs each input value with e…

the set of all possible input values of the ordered pairs of…

the set of all possible output values of the ordered pairs of…

represents the input of a function

function

a special type of relation that pairs each input value with e…

domain

the set of all possible input values of the ordered pairs of…

linear equation

slope

y-intercept

x-intercept

An equation in two variables whose graph in a coordinate plan…

A ratio comparing the change in output over the change in inp…

The value of the output when the input is zero (0, y). The po…

The value of the input when the output is zero (x, 0). The po…

linear equation

An equation in two variables whose graph in a coordinate plan…

slope

A ratio comparing the change in output over the change in inp…

x-intercept

y-intercept

slope-intercept form

graph

the point at which the line crosses the x-axis

the point at which the line crosses the y-axis... (b)

the general way to write a linear equation

x-intercept

the point at which the line crosses the x-axis

y-intercept

the point at which the line crosses the y-axis... (b)