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Algebra 1A Terms
Samaras
60
Mathematics
9th Grade
01/18/2010

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Term
variable
Definition
a letter used to represent one or more numbers
Term
algebraic expression
Definition
an expression that includes at least one variable
Term
power
Definition
an expression that represents repeated multiplication of the same factor. (example- 81 is a power of three because 81=3x3x3x3
Term
base
Definition
big number/base number
Term
exponent
Definition
little number in right corner of base number
Term
order of operations
Definition
Please Excuse My Dear Aunt Sally
Term
verbal model
Definition
describes a real-world situation using words as labels and using math symbols to relate to the words
Term
rate
Definition
a fraction that compares two quantities measured in different units
Term
unit rate
Definition
if the denominator of the fraction is 1 unit the rate is called...
Term
equation
Definition
a mathematical sentence formed by placing the symbol = between two expressions
Term
inequality
Definition
a mathematical sentence formed by placing one of these symbols <,≤,≥,or > between two expressions
Term
open sentence
Definition
an equation or an inequality that contains an algebraic expression
Term
solution of the equation
Definition
a number that produces a true statement when substituted for the variable in an equation
Term
solution of the inequality
Definition
a number that produces a true statement when substituted for the variable in an inequality
Term
formula
Definition
an equation that relates two or more quantities. 
Term
function
Definition

  • a set called the domain containing numbers called inputs and a set called the range containing numbers called outputs
  • a pairing of inputs with outputs such that each input is paired with exactly one output

Term
domain
Definition
contains numbers called inputs
Term
range
Definition
contains numbers called outputs
Term
independent variable
Definition
the input variable
Term
dependent variable
Definition
the output variable
Term
relation
Definition
any pairing of a set of inputs with a set of outputs
Term
whole numbers
Definition
0,1,2,3,4,5,6,7,8,.....
Term
integers
Definition
-3,-2,-1,0,1,2,3,.....
Term
rational number
Definition
a number a/b where a and b are integers and b≠0
Term
opposites
Definition
two numbers that are the same distance from the number line but on opposite sides of zero
Term
absolute value
Definition
the distance between a number an 0 on the number line 
Term
conditional statement
Definition
a statement with a hypothesis and a conclusion
Term
additive inverse
Definition
the sum of a and its opposite is zero. the opposite of a is this
Term
additive identity
Definition
the number 0
Term
multiplicative identity
Definition
the number1
Term
equivalent expressions
Definition
two expressions that have the same value for all values of the variable
Term
distributive property
Definition

3(x+2)=5

What property does this illustrate  ?

Term
terms
Definition
the parts of an expression that are added together
Term
coefficient
Definition
the number part of a term with a variable part 
Term
constant term
Definition
has a number part but no variable part
Term
like terms
Definition
terms that have the same variable parts
Term
multiplicative inverse
Definition
the reciprocal of a non zero number
Term
radicand
Definition
the number inside the square root symbol
Term
perfect square
Definition
a square of an integer 
Term
standard form of a linear equation
Definition
Ax+By=C
Term
slope
Definition
the ration of the vertical change (the rise) to the horizontal change (the run)
Term
rate of change
Definition
compares a change in one quantity to a change in another quantity. change over years
Term
slope-intercept form
Definition
y=mx+b
Term
direct variation 
Definition
the relationship of two variables x and y if there is a nonzero number a such that y=ax. If y=ax, the y is said to vary directly with x.
Term
constant of variation
Definition
the nonzero constant a in a direct variation equation y=ax or in an inverse variation equation y= a/x
Term
function notation
Definition
f(x)=mx+b
Term
family of functions
Definition
a group of functions with similar characteristics
Term
parent linear function
Definition
f(x)=x
Term
point-slope form
Definition
y-y1=m(x-x1)
Term
scatter plot
Definition
graph used to determine whether there is a relationship between paired data
Term
linear regression
Definition
the process of finding the best-fitting line to model a set of data
Term
compound inequality
Definition
consists of two separated inequalities joined by and or or
Term
system of linear equations
Definition
consists of two or more linear equations in the same variables
Term
solution of a system of linear equations
Definition
an ordered pair that satisfies each equation in the system
Term
consistent independent system
Definition
a linear system that has exactly one solution
Term
inconsistent system
Definition
a linear system with no solution
Term
consistent dependent system
Definition
a linear system with infinitely many solutions
Term
system of linear inequalities
Definition
consists of two or more linear inequalities in the same variables
Term
solution of a system of linear inequalities
Definition
an ordered pair that is a solution of each inequality in the system
Term
graph of a system of linear inequalities
Definition
the graph of all solutions of the system
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