Mathematics - PearsonAccess.com

Grades 9, 10, and Exit Level Mathematics ChartPerimeter rectangle P = 2l + 2w or P = 2(l + w)Circumference circle C = 2πr or C = πdArea rectangle A = lw or A = bhtriangle1bhA = bh or A =22trapezoid1(bA = (b 1 + b 2 )h or A = 1 + b 2 )h22regular polygon A = 12aPcircle A = πr 2P represents the Perimeter of the Base of a three-dimensional figure.B represents the Area of the Base of a three-dimensional figure.Surface Area cube (total) S = 6s 2prism (lateral) S = Phprism (total) S = Ph +2Bpyramid (lateral)1S =2Plpyramid (total)1S =2Pl + Bcylinder (lateral) S = 2πrhcylinder (total) S = 2πrh +2πr 2 or S =2πr(h + r)cone (lateral) S = πrlcone (total) S = πrl + πr 2 or S = πr(l + r)sphere S = 4πr 2Volume prism or cylinder V = Bhpyramid or cone1V =3Bhsphere4V =3πr 3Special Right Triangles 30°, 60°, 90° x, x√ __ 3, 2x45°, 45°, 90° x, x, x√ __ 2Pythagorean Theorem a 2 + b 2 = c 2Distance Formula d = √ (x 2 − x 1 ) 2 + (y 2 − y 1 ) 2Slope of a Line m =Midpoint Formula M = (x 1 + x 2 y, 1 + y 2)Quadratic Formula x = − b ± √b 2 − 4ac2aSlope-Intercept Form of an Equation y = mx + bPoint-Slope Form of an Equation y − y 1 = m(x − x 1 )Standard Form of an EquationSimple Interest FormulaAx + By = CI = prty 2 − y 1x 2 − x 1229