Tmsca Study Guide | General Math
| Category | Formula | |----------|---------| | Area – triangle | A = ½ × b × h | | Area – circle | A = πr² | | Circumference | C = 2πr or πd | | Pythagorean theorem | a² + b² = c² | | Slope | m = (y₂ – y₁)/(x₂ – x₁) | | Distance | d = √[(x₂–x₁)² + (y₂–y₁)²] | | Midpoint | ((x₁+x₂)/2, (y₁+y₂)/2) | | Probability | P(event) = (# favorable)/(# total) | | Percent change | (new – old)/old × 100% | | Simple interest | I = Prt | | Mean | sum / count | | Volume – rectangular prism | V = l × w × h |
This is the largest chunk. If you get an A in Algebra I, you will get a 30% on this test. You must master the nuances. General Math Tmsca Study Guide
You cannot flip through a textbook during the test. Know these cold. | Category | Formula | |----------|---------| | Area
| Topic | Formula |
| :--- | :--- |
| Slope | 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 | Combinations ($C$): Order does NOT matter
General Math is multiple choice. Use the answers to help you.
You cannot cram for TMSCA General Math. You need consistency.