Algebra 1* Chapter One
<
- is less than - fewer than
< ---
- is less than or equal to - at most, no more than
function
-consists of a domain and a range - an output maybe paired with more than one input, but no input is paired with more than one output
=
-is equal to - the same as
>
-is greater than - at least, no less than
> ----
-is greater than or equal to - at least, no less than
variable
a letter used to represent one or more numbers
domain (x)
containing numbers called inputs
range (y)
containing numbers called outputs
verbal model
describes a real-world situation using words as labels and using math symbols to relate to words.
subtraction
difference, less than, minus, decreased by example- N-7
unit rate
if the denominator of the fraction is 1 unit the rate is called a unit rate
rate
is a fraction that compares two quantities measured in different units.
inequality
is a mathematical sentence formed by placing one of the <, > symbol between two expressions
equation
is a mathematical sentence formed by placing the = symbol between two expressions
open sentence
is an equation or an inequality that contains an algebraic expression
formula
is an equation that relates two or more qualities.
algebraic expression
is an expression that includes at least one variable
power
is an expression that represents repeated multiplication of the same power
relation
is any pairing of a set of inputs with a set of outputs.
division
quotient, divided by, divided into example- k/2
order of operations
step one- Evaluate the expression inside grouping symbols ( ) step two- Evaluate the powers step three- Multiply and Divide from left to right step four- Add or Subtract from left to right. *PEMDAS*
addition
sum, plus, total, more than, increased by example- 2+x
independent variable
the input variable
exponent
the number of times the base is used as a factor so 81 can be written as 3 to the 4th power
base number
the number or expression that is used as a factor in a repeated expression
dependent variable
the output variable because its value depends on the value of the input variable
multiplication
times, product, multiplied by, of example- 12x
solution of the equation/ solution of the inequality
when you substitute a number for the variable in an open sentence like x+2=5 or 2y > 6, the resulting statement is either true or false. if the statement is true it is a solution of the equation or solution of a inequality