click below
click below
Normal Size Small Size show me how
Algebra exam 1
Term | Definition |
---|---|
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 |
more than | addition |
doubled | multiply |
product | multiply |
less than | subtract |
sum | add |
increased by | add |
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 |