Common Formulas.pdf
- 1. | COMMON MATH FORMULAS AREA(A) Square Rectangle Parallelogram Triangle Circle Trapezoid Sphere ; ; ; 1/2 ; ; 1/2 1 2 ; 4 where s = any side of the square where l = length and w = width where b = base and h = height where b = base and h = height where π= 3.14 and r = radius where s= Surface area SURFACE AREA (SA)of a: cube SA = 6 where s = any side cylinder (lateral) 2 ; where π=3.14, r = radius, and h = height
- 2. PERIMETER (P) of a Square 4 ; where s = any side Rectangle 2 2 ; where l = length and w = width Triangle 1 2 3; where s = a side Any shape P = the length of all sides added together Circle (Circumference) ; where π= 3.14 and d = diameter VOLUME (V) of a Cube ; where S = any side Rectangular Container ; where l = length, w = width, and h = height Square Pyramid 1/3 ; where b = base length, h = height, Cylinder ; where π= 3.14, r = radius, and h = height Cone Sphere Right Circular Cylinder 1/3 ; 4 3 where π= 3.14, r = radius, and h = height where r=radius, v = volume where r= radius, v=volume, h = height FORMULAS/EQUATIONS Distance between two points 2 1 2 1 where (x1,y1) and (x2,y2) are two points on a coordinate plane Slope of a line Quadratic Equation Standard Equation of a circle Quadratic formula 2 2 1 0 where (x1,y1) and (x2,y2) are two points on a coordinate plane Where a and b are coefficients and c is constant Where r is the radius and (h, k) is the center Where a and b are coefficients and c is constant
- 3. Standard Equation of a circle Point-Slope Equation of a line Slope-Intercept Equation of a line √ 4 2 Where r is the radius and center at (h, k) Where m is the slope and the point , Where m is the slope and b is the y-intercept PYTHAGOREAN THEOREM where a and b are legs, and c is the hypotenuse, of a right triangle CENTRAL TENDENCY Mean (x1 + x2 + . . . . x?) / N Where the x's are the values for the desired mean, and N is the number of values involved Median (if odd number of values) arrange values in numeric order, then choose the value in the middle (if even number of values) arrange values in numeric order, then add the two middle values and divide by 2 Mode the value that appears most often Range subtract the lowest value from the highest value MISCELLANEOUS FORMULAS Simple Interest where I = interest, p = principal, r = interest rate, and t = time Distance where d = distance, r = rate, and t = time Total Cost (Number of Units) x (Price per Unit) OTHER ALGEBRAIC RULES & SPECIAL PRODUCT
- 4. Product Rule Power Rule Quotient Rule where is the base are the exponents where is the base are the exponents where is the base are the exponents Negative exponent 1 where d = distance, r = rate, and t = time Total Cost (Number of Units) x (Price per Unit)