Basic algebra formula sheet, Cheat Sheet of Algebra

Download Basic algebra formula sheet and more Cheat Sheet Algebra in PDF only on Docsity! Algebra Formulas Geometry Quadratic Equation Equation of a circle: ( ) ( ) 222 rkyhx =−+− , 02 =++ cbxax Center = ( )kh, , Radius = r Quadratic Function: cbxaxy ++= 2 , Quadratic Formula Vertex = ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ −− a bc a b 4 , 2 2 a acbbx 2 42 −±− = Distance Formula: ( ) ( )2 12 2 12 yyxxd −+−= Slope: 12 12 xx yym − − = , Parallel lines: 21 mm = , Perpendicular lines: 2 1 1 m m −= Point-Slope Formula: ( )11 xxmyy −=− Slope-Intercept Form: bmxy += , Horizontal Line: y = b, Vertical Line: x = a (m = 0) (m undefined) Standard Form: CByAx =+ Midpoint Formula: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ++ 2 , 2 2121 yyxx Factoring Difference of Squares: Perfect Square Binomials: ( )( )bababa +−=− 22 (1) ( ) 222 2 bababa ++=+ (2) ( ) 222 2 bababa +−=− Difference of Cubes ( )( )2233 babababa ++−=− Perfect Cube Binomials Sum of Cubes (1) ( ) 32233 33 babbaaba +++=+ ( )( )2233 babababa +−+=+ (2) ( ) 32233 33 babbaaba −+−=− Exponents/Radicals Imaginary Number Absolute Value nmnm bbb +=⋅ ( )0b ,10 ≠=b 1−=i ( ) mnnm bb = ( ) nnn baab = ( ) ( ) axaxax axa axaxax axoraxax aFor aa xifx xifx x >−<⇔> <<−⇔ <−>⇔< =−=⇔= > = ⎩ ⎨ ⎧ <− ≥ = or and ,0 0, 0, 2 14 =i n n b b =− 1 nn bb 1 = m nm n bb = nnn baab = ( )0, ≠= b b a b a n n n 12 −=i ii −=3 nn a b b a ⎟ ⎠ ⎞ ⎜ ⎝ ⎛=⎟ ⎠ ⎞ ⎜ ⎝ ⎛ −n n b b 1 =− nm n m b b b −= n nn b a b a =⎟ ⎠ ⎞ ⎜ ⎝ ⎛