Rational numbers: Irrational numbers: π ... - Cheat Sheet

1 This file has been downloaded from For more GRE Preparation Stuff, Alerts and other details, visit GRE related discussions, visit http://forum.. Visit / for joining the club of GRE Aspirants 1 MATH Cheat Sheet Basic Math and Pre-Algebra Cheat Sheet Groups of Numbers Natural or counting numbers: Whole numbers: Integers: Rational numbers: Irrational numbers: Prime numbers: ! " # $ % %$ & Composite numbers: % ' () * + , Properties of Addition and Multiplication Closure: - Commutative.

2 % / 0 1 0 1 Associative: 2 )$ % / # 0 & 0 1 0 # 0 & # & 1 # & Identity: %) $ Inverse: 3 $ %) $ Order of Operations Work within parentheses ( ), brackets [ ], and braces { } from innermost and work outward. Simplify exponents and roots working from left to right. Do multiplication and division, whichever comes first left to right. Do addition and subtraction, whichever comes first left to right. Rounding Off Underline the place value to which you're rounding off. Look to the immediate right (one place) of your underlined place value.

3 Identify the number (the one to the right). ! ' ' ) ) ) $ ) )$ ' ' ' )% ' 4 ' ! ) ) $ ) ' ' ' )% ' ' 4 Decimals 5 ) % %$ )$ ' % $ ' ) ) ) This file has been downloaded from For more GRE Preparation Stuff, Alerts and other details, visit GRE related discussions, visit http://forum.. Visit / for joining the club of GRE Aspirants 2 5 %) $ % () %) $ ) ) ' ) ' )% ' ' ' ' % $ 6 ' % $ ) ' ' ' % )% ' ' ' % $ ' ' 5 % ' )% )7 ' % % ' % ' ' % $ $ ' % ) ' () % $ # 4 & 8 ' % )$ ) Fractions 5 ) ) %) ' %% % ' %% % # ' like fractions& ) %$ ) ' )% / $ ' % % #9 : %$ ;!

4 0 ;! 1 ;! & ' %% % (unlike fractions), %% % #< & ' ' ' =) ' ' % ' ) ' )% / $ ' % % #9 : %$ ; 0 ; 1 ;* 0 ;* 1 !;*& >' ) % : )% ) % ' ? ? % ' ' )% >' ) % ' ' )% ' %) ' 5 %) $ %$ %) $ ' )% ' %) $ ' % #9 : %$ ; @ ;! 1 ; ! & A ) % 5 ' ' %) $ #9 : %$ ;! B ; 1 ;! @ ; 1 ;! & A additive inverse: 5' $$ # & )% - )% $ ) =) associative property: 2 )$ % % / ' ) % 5' ) %) $ B braces: 2 )$ % ) ' ) / C D E ) $ brackets: 2 )$ % F G ) ' ) $ ' C canceling: %) $ ' % )% ' )% % circumference: 5' ) C =) @ H @ ' ) H @ ' % # 1 H H & closure property: >' ' This file has been downloaded from For more GRE Preparation Stuff, Alerts and other details, visit GRE related discussions, visit http://forum.

5 Visit / for joining the club of GRE Aspirants 3 combinations: 5' )% $ $ ' common denominator: - )% ' % ' $ % common factors: 9 ' ' % % )% common multiples: 8) $ ' ' % % )% commutative property: 5' % % / ' ) % 5' ) %) $ complex fraction: - ' ' )% ; % composite number : - )% % ' () cube: 5' ) ' )% %) $ cube root: - )% ' ' %) $ ) ' )% C % D decimal fraction: 9 ' % ) % $ C : %$ "! decimal point: - $ ) ) ' % % ' )% denominator: 5' % % )% dependent events: >' ' ) % ' ' ) % ' difference: 5' ) ) distributive property: 5' $ ) )% ' ) ' $ ' ' )% ' C # 0 & 1 0 E even number : - #$ ' )% 4 ' )% & # ' % & expanded notation: 6 ) ' $ ) )% ' @ $ ) 9 : %$ 1 # @ & 0 # @ & 0 # @ & exponent: - % )% $ ' ' )% C :$ ' $ ' ' ' =) F This file has been downloaded from For more GRE Preparation Stuff, Alerts and other details, visit GRE related discussions, visit http://forum.

6 Visit / for joining the club of GRE Aspirants 4 factor (noun): - )% % ' )% 9 : %$ * factor (verb): 5 % =) ' $ ) =) ' =) fraction: % ' :$ $ ' )% % C : %$ ;! G greatest common factor: 5' %% % )% I identity element for addition 0: - )% ' )% identity element for multiplication 1: - )% %) $ ' )% improper fraction: - ' ' ' )% ' ' % C : %$ ; independent events: >' ' ) % ' ' ) % ' integer: - ' )% ' $ 4 invert: 5) )$ ? ; 1 ; ? Irrational number : - )% ' # :; ' : ) )% &C : %$ H L least common multiple: 5' % %) $ ' %% % )% lowest common denominator: 5' % )% ' % ' $ % M mean (arithmetic): 5' )% % )$ # ' % ' )% % & median: 5' % % )$ ' )$ ' )% % ' % ' ' % % mixed number : - )% ' ' )% C : %$ !

7 I mode: 5' )% $$ % =) )$ This file has been downloaded from For more GRE Preparation Stuff, Alerts and other details, visit GRE related discussions, visit http://forum.. Visit / for joining the club of GRE Aspirants 5 multiples: 3)% ) %) $ )% multiplicative inverse: 5' $ )% - )% %) $ %) $ =) N natural number : - ) )% C negative number : - )% ' number series: - =) )% ' % $ . )% ' % % numerator: 5' $ % )% O odd number : - operation: 8) $ ) order of operations: 5' $ $ ' $ 9 : %$ %) $ $ % P parentheses: 2 )$ % # & percent or percentage: - %% ' % 9 : %$ "J "; permutations: 5' )% $ ' place value: 5' ) ' $ ' )% positive number : - )% ' 4 power: - $ ) =) @ @ 1 ?

8 ' ' $ ? ? ' ' $ ) ? 6 :$ % @ ) ' prime number : - )% ' probability: 5' )% % ) ' ' ) % ) product: 5' ) %) $ proper fraction: - ' ' ' )% ' ' % C : %$ ; proportion: > =) 9 : %$ ! + !; 1 ;+ This file has been downloaded from For more GRE Preparation Stuff, Alerts and other details, visit GRE related discussions, visit http://forum.. Visit / for joining the club of GRE Aspirants 6 Q quotient: 5' ) R range: 5' ' ' % )% )% ratio: - %$ )% % C % : :; : Rational number : - ) ' ";+ ,; !; - )% ' :; ' : ) )% real number : - )% reciprocal: 5' %) $ )% 9 : %$ ; ' $ ; reducing: ' % 9 : %$ ; ) ; rounding off: ' )% ' $ ) $ C % ' $$ : % S scientific notation: - )% %) $ $ ) % )% C : %$ !

9 @ square: 5' ) ' )% %) $ square root: - )% ' ' %) $ ) ' )% C % 9 : %$ ! ' =) !C ! 1 ! sum: 5' ) T tenth: 5' % $ ' ' ' % $ 9 : %$ " ' W weighted mean: 5' % )% ' ' ' #%) $ ' %$ @ ) & whole number : Algebra I Cheat Sheet Axioms of Equality This file has been downloaded from For more GRE Preparation Stuff, Alerts and other details, visit GRE related discussions, visit http://forum.. Visit / for joining the club of GRE Aspirants 7 Reflexive axiom: 1 Symmetric axiom: 1 ' 1 Transitive axiom: 1 1 ' 1 Additive axiom: 1 1 ' 0 1 0 Multiplicative axiom: 1 1 ' 1 Solving Equations K %$ 2 ' ' =) )% ' ' ' )% ' Solving Systems of Equations Addition/Subtraction Method: % =) % 5' =) % %) $ %% %) $ Substitution Method: K =) ) ) ' ' =) Graphing Method: 2 $' ' =) ' % $' 5' ' ' ) Monomials - monomial :$ ' % - ) % % ' / % xy 0 xy 1 !

10 Xy 5 %) $ % % ' :$ ' % x #x & 1 x" 5 % % ) ' :$ ' % ' :$ ' ' % x+;x 1 x! Polynomials - polynomial :$ % % ) ' x 0 y Binomials : % Trinomials : ' % 5 ) $ % ) / % 5 %) $ $ % %) $ ' % $ % ' % ' ' $ % 5' 9 . < % ' # ) & ) ' %) $ % 5 $ % % % ' % ' % % 5 $ % ' $ % % / ) ' ' ) # % %) $ ) & Solving Inequalities K : / =) : $ ) %) $ ' )% ) %) ' ' =) This file has been downloaded from For more GRE Preparation Stuff, Alerts and other details, visit GRE related discussions, visit http://forum.