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…
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…
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…
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
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
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
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
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 o…
a mathematical relationship or rule expressed in symbols.
number or variable, or numbers and variables multiplied togeth…
What is a linear function
Y=ax+b
what is the slope
a number that describes both the direction and the steepness o…