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Math 102 Formulas Prerequisite Formulas Formulas of special importance that students are expected to know upon entering this course: - Geometric Formulas Square Rectangle Triangle Area Perimeter A s2 A lw 1 A (bh) 2 P 4s P 2l 2w P a bc - Sum of the Angles in a triangle A B C 180 - Square of a Binomial (a b) 2 a 2 2ab b 2 - Pythagorean Theorem a 2 b 2 c2 Course Formulas Formulas that students are required to memorize in this course: Chapter 5 - Factoring Formulas Difference of Squares Sum and Difference of Cubes a 2 b 2 (a b)(a b) a 3 b 3 (a b)(a 2 ab b 2 ) Chapter 6 - Distance, rate, time d rt , r d / t , t d / r Chapter 7 m - Slope of a Line y 2 y1 x 2 x1 - Forms of Linear Equations y y1 m( x x1 ) y mx b Point-slope form Slope-intercept form General form Horizontal line Vertical line Ax By C 0 yc xc Chapter 8 I prt - Simple Interest Chapter 9 x if x 0 x x if x 0 - Absolute Value of x Chapter 10 a2 a - Principal Square Root of a 2 - Fractional Exponents 1 an n a m an n a m (n a ) m a m n 1 m an Chapter 10 - cont. - Laws of Radicals n a n (n a ) n a n a n b n ab n a n a b b n mn - Imaginary Unit a mn a i 1 (i 2 1) Chapter 11 - Quadratic Formula If ax bx c 0, 2 then b b 2 4ac x 2a - Forms of Quadratic Functions General Form Standard Form - Line of Symmetry for a Parabola y ax 2 bx c y a( x h) 2 k x b 2a Chapter 13 - Distance Formula d ( x 2 x1 ) 2 ( y 2 y1 ) 2 - Midpoint Formula y y2 x1 x 2 , 1 2 2