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A comprehensive collection of mathematical formulas and solutions relevant for the csu math placement test. It includes key concepts such as slope-intercept form, slope formula, distance formula, quadratic formula, trigonometric functions, and identities. Each formula is presented with clear notation and context, making it an invaluable resource for students preparing for math placement exams or reviewing fundamental mathematical principles. The document also covers topics like exponents, radicals, angle conversions, and trigonometric identities, ensuring a thorough review of essential math concepts. It serves as a quick reference guide for students to refresh their knowledge and improve their problem-solving skills. This resource is designed to help students quickly recall and apply mathematical formulas, enhancing their test-taking confidence and accuracy. It is suitable for high school and early university students.
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y = mx + b - ANSWER-slope-intercept form m = (y₂- y₁) / (x₂- x₁) - ANSWER-slope formula y - y₁ = m(x - x₁) - ANSWER-point slope form Ax + By = C - ANSWER-standard form d = √[( x₂ - x₁)² + (y₂ - y₁)²] - ANSWER-distance formula (x - h)² + (y - k)² = r² where (h,k) is the center and r is the radius - ANSWER-equation of a circle |x| = { x if x >or= 0 { -x if x < 0 - ANSWER-absolute value piece wise function First, Outer, Inner, Last - ANSWER-FOIL square root of -1 - ANSWER-what does i equal?
v) A^-N = 1/A^N vi)(A/B)^N = (A^N) / (B^N) - ANSWER-basic laws for working w/ exponents ^n√a = a^(1/n) ^n√a^m = a^(m/n) - ANSWER-rational exponents and radicals after finding the square root: √64 = x ± 8 = x -> NOT just 8 - ANSWER-square root reminder ax - b > c OR ax - b < c - ANSWER-|ax - b| > c **make a table of values - ANSWER-graphing on a plane clockwise = negative counterclockwise = positive - ANSWER-ANGLES degrees x π/180 = RAD (in π) - ANSWER-degrees to radians radians x 180/π = DEG (in °) - ANSWER-radians to degrees s = r (arc length) = (radius)(angle) - ANSWER-arc length formula A = r^20/ (Area) = (radius^2)(angle)/2 - ANSWER-sector area formula a/sinA = b/sinB = c/sinC - ANSWER-Law of Sines c²=a²+b²-2abcosC a²=b²+c²-2bcCosA b²=a²+c²-2acCosB - ANSWER-Law of Cosines check page 13, study graphs - ANSWER-TRIG FUNCTIONS csc0 = 1/sin sec0 = 1/cos cot 0 = 1/tan tan0 = sin0/cos cot0 = cos0/sin0 - ANSWER-Basic Trig Functions cos²0 + sin²0 = 1