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