• Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

Card Range To Study

through

image

Play button

image

Play button

image

Progress

1/23

Click to flip

Use LEFT and RIGHT arrow keys to navigate between flashcards;

Use UP and DOWN arrow keys to flip the card;

H to show hint;

A reads text to speech;

23 Cards in this Set

  • Front
  • Back
Distributive Axiom of Multiplication over Addition
for a, b, and c elements of the real numbers
a(b+c)=ab+ac
definition of subtraction
for a and b elements of the real numbers
a-b=a+(-b)
defintion of division
for a and b elements of the real numbers, a÷b=a(1/b)
additive inverse axiom
for every a element of the real numbers, there exists-a, such that a+(-a)=0
multiplication inverse axiom
for every a element of the real numbers, there exists 1/a such that a(1/a)=1
additive identity element
for every a element of the real numbers a+0=a
multiplicative identity element
for every a element of the real numbers a(1)=a
axiom
a statement assumed without the burden of proof
property
a statement that can be proved using axiom
like terms
terms in an expression that have the same variable raised to the same power
numerical coefficent
a number multiplied by a variable
common factor
in an expression c is a common factor if c is a factor of each term in the expression
commutative property of addition
for all elements of the real numbers, x+y=y+a
associative property of addition
for all x, y and z elements of the real numbers (x+y)+z=x+y+z
commutative property of multiplication
for all x and y elements of the real numbers, xy=yx
arithmetic operation
addition, subtraction, multiplication and division
variable
a letter or symbol used to represent a number
expression
a collection of numbers, operation signs and symbols of inclusion that represents a number
terms
numbers that are added or subtracted
factors
numbers that are multiplied
equation
a mathematical sentence stating that two or more expressions are equal
solution
a number that can substitute for a variable that makes an equation true
PEMDAS
acronym for remembering the order of operations