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# Algebra exam 1

TermDefinition
Quantity anything that can be measured or counted
variable a symbol, usually a letter, that represents the value of a variable quantity
algebraic expressions a mathematical phrase that includes one or more variables
numerical expression a mathematical phrase involving numbers and operation symbols, but no variables
set a well-defined collection of objects or numbers
element of a set an object or number in a set
subset a set within a set
natural numbers numbers you use to count
whole numbers natural numbers including zero
integers positive and negative natural numbers including zero
rational numbers any number that can be written as a fraction
irrational numbers can't be written as fractions - decimals that go on forever and don't repeat
real numbers rationals and irrationals combined form the real numbers
deductive reasoning the process of reasoning logically from given facts to a conclusion
counterexample an example showing that a statement is false
absolute value the distance of a number from 0, always positive
quotient division
doubled multiply
product multiply
less than subtract
times multiply
difference subtract
one-seventh of divide
power represents repeated multiplication
exponent tells you how many times to multiply
base the number being multiplied
simplify changing a numerical expression to its single numerical value
reciprocals multiplicative inverses
term a number, variable, or the product of a number and variable
coefficient the numerical factor of a term
constant term has no variables
like terms have the same variables raised to the same powers
equation a mathematical sentence with an equal sign
open sentence an equation that contains variables and may be true or false depending on the value of the variables
solution a value of the variable that makes the equation true
Created by: MoancoG20