| Topic | Formula | | :--- | :--- | | | m = (y₂ - y₁) / (x₂ - x₁) | | Distance | d = √[(x₂ - x₁)² + (y₂ - y₁)²] | | Quadratic Formula | x = [-b ± √(b² - 4ac)] / (2a) | | Discriminant | D = b² - 4ac (D>0: 2 real; D=0: 1 real; D<0: imaginary) | | Area of Triangle (Heron's) | A = √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2 | | Sum of Arithmetic Series | S_n = n/2 * (first + last) | | Sum of Geometric Series | S_n = a(1 - rⁿ) / (1 - r) | | Permutation | nPr = n! / (n-r)! | | Combination | nCr = n! / [r!(n-r)!] | | Log Property | log_b (x/y) = log_b x - log_b y | | Trig Identity | sin²θ + cos²θ = 1 |
: Trigonometry (unit circle values), combinations and permutations, and elementary calculus. Essential Formulas & Shortcuts General Math Tmsca Study Guide
If log₂(x)=5, find x. Solution: 2⁵=32 → x=32 | Topic | Formula | | :--- |
The General Math TMSCA test is a comprehensive assessment that evaluates students' knowledge and understanding of various mathematical concepts. The test is designed for students in grades 4-8 and covers a range of topics, including: The test is designed for students in grades
Expect tricky nested parentheses.