Algebra Formula

80 Views
0
Category: Mathematics
  • Algebra Formulas Geometry Quadratic Equation Equation of a circle: ()( ) 2 2 2r k y h x= − + − , 0 2 = + +c bx ax Center = () k h, , Radius = r Quadratic Function: cbx ax y + + = 2 , Quadratic Formula Vertex = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − − a b c a b 4 , 2 2 aac b b x 24 2− ± − = Distance Formula: ()( ) 2 1 2 2 1 2 y y x x d− + − = Slope: 1 21 2x xy y m − − =, Parallel lines: 2 1m m= , Perpendicular lines:= 2 1 1 m m− = Point-Slope Formula: () 1 1x x m y y− = − Slope-Intercept Form: b mx y+ =, Horizontal Line: y = b, Vertical Line: x = a (m = 0) (m undefined) Standard Form: CBy Ax= + Midpoint Formula: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛+ + 2 , 22 1 2 1y y x x Factoring Difference of Squares: Perfect Square Binomials: ()() b a b a b a+ − = − 2 2 (1) ( ) 2 2 2 2b ab a b a+ + = + (2) ( ) 2 2 2 2b ab a b a+ − = − Difference of Cubes () ( )2 2 3 3b ab a b a b a+ + − = − Perfect Cube Binomials Sum of Cubes (1) ( ) 3 2 2 3 3 3 3b ab b a a b a+ + + = + () ( )2 2 3 3b ab a b a b a+ − + = + (2) ( ) 3 2 2 3 3 3 3b ab b a a b a− + − = − Exponents/Radicals Imaginary Number Absolute Value n m n m b b b + = ⋅ () 0 b , 1 0 ≠ = b 1− = i () mn n mb b= () n n nb a ab= () () a x a x a xa x aa x a x a xa x or a x a xa Fora ax if xx if x x > − < ⇔ >< < − ⇔< − > ⇔ <= − = ⇔ => =⎩ ⎨ ⎧ < −≥ = or and , 00 ,0 , 2 1 4= i n nb b= − 1 n nb b 1 = mn m nb b= n n nb a ab= () 0 ,≠ =b ba ba n n n 1 2 − = i i i− = 3 n n a b ba ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − n nb b1 = − n m n m b b b − = nn nba ba = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛
  • Area & Perimeter Formulas Area (A) is the amount of square units of space an object occupies. Perimeter (P) is the distance around a figure. 1. Square : A quadrilateral (4-sided figure) 2. Triangle: A 3-sided figure with four 90 o (right) angles and four equal sides. A = s 2 P = 4s P = B + s 1 + s 2 3. Rectangle : A quadrilateral with four 90 o (right) angles. 4. Right Triangle : triangle with a 90 o (right) angle A = L x W P = 2L + 2W P = A +B +C Pythagorean Theorem 5. Parallelogram : A quadrilateral with equal opposite sides. A2 + B 2 = C 2 A = B x h P = 2B + 2s 6. Trapezoid : A quadrilateral with exactly one pair of parallel sides. () 2 1 2 1 B B h A+ = and P = B 1 + B 2 + s 1 + s 2 7. Circle : A set of points a constant distance (radius) from a given point (center). s s s s W (width) L (length ) B (base) h (height) s B2 (base) B 1 (base) h (height) s 1 s 2 Diameter (d) (distance across the circle) Radius (r) (distance from center to circle) center Circumference (C) ( distance around the circle ) 2r Aπ= r Cπ2 = 2 2 d r r d= = or h B A⋅ = 2 1 h (height) B s1 s 2 A (Leg) B (Leg) C (Hypotenuse) B A A⋅ = 2 1

leave your comment

Find a tutor

Post your study enquiry and get a quick reply from various tutors.

Post Your Requirements

Upload Presentations

Upload your informative slides presentations and help other members to gain benefits from your slides. After we approve presentations, you will earn additional 25 Points.

Upload Now

Embed this presentations on your website 

Ask a Study Question

Ask a question and resolve your doubts from Experts, Tutors and other members

Ask Now