TSIA MATH GRAPHICAL REPRESENTATION OPTIMIZATION SCHOLARLY REFERENCE GUIDELINES 2026., Exams of Mathematical Methods

TSIA MATH GRAPHICAL REPRESENTATION OPTIMIZATION SCHOLARLY REFERENCE GUIDELINES 2026.

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2025/2026

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TSIA MATH GRAPHICAL REPRESENTATION
OPTIMIZATION SCHOLARLY REFERENCE
GUIDELINES 2026.
Ratio, proportion, scaled, 'is to'. Ans: Proportion → a/b = c/d
slope formula. Ans: (y₂- y₁) / (x₂- x₁)
Quadratic Formula. Ans: x = -b ± √(b² - 4ac)/2a
exponent rules. Ans: a^n a^m = a^n+m
a^n b^n = (a b)^n
a^n / a^m = a^n-m
a^n / b^n = (a / b)^n
(a^n)^m = a nxm
solving linear questions. Ans: ax+b=c (solve for X)
proportions. Ans: a/b=c/d
Percent Change. Ans: % change = [(new value - old value)/ old
value] x 100
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TSIA MATH GRAPHICAL REPRESENTATION

OPTIMIZATION SCHOLARLY REFERENCE

GUIDELINES 2026.

⫸ Ratio, proportion, scaled, 'is to'. Ans: Proportion → a/b = c/d ⫸ slope formula. Ans: (y₂- y₁) / (x₂- x₁) ⫸ Quadratic Formula. Ans: x = - b ± √(b² - 4ac)/2a ⫸ exponent rules. Ans: a^n ⋅ a^m = a^n+m a^n ⋅ b^n = (a ⋅ b)^n a^n / a^m = a^n-m a^n / b^n = (a / b)^n (a^n)^m = a nxm ⫸ solving linear questions. Ans: ax+b=c (solve for X) ⫸ proportions. Ans: a/b=c/d ⫸ Percent Change. Ans: % change = [(new value - old value)/ old value] x 100

⫸ Simple Interest. Ans: I=prt(percent,rate,time) ⫸ Distance Formula. Ans: d = √[( x₂ - x₁)² + (y₂ - y₁)²] ⫸ Area of a rectangle. Ans: A=lengthxwidth ⫸ Area of a triangle. Ans: A=1/2(base)x(height) ⫸ Area of a circle. Ans: A=πr² ⫸ Circumference of a circle. Ans: C=2πr ⫸ Perimeter of a rectangle. Ans: P= 2L + 2w ⫸ Volume of a cube. Ans: V=s³ ⫸ Volume of a rectangular prism. Ans: V=lwh ⫸ mean(average). Ans: sum/count of numbers ⫸ Median. Ans: Middle number ⫸ Mode. Ans: most frequent number