2023-2024 TSIA2 Mathematics Study Guide With Answers (52 Solved Questions)

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TSIA2 STUDY GUIDES - MATH - wit h 100% verified solutions - 2023 - 2024 Adding with same denominator (a/b)+c/b)=((a+c)/b) Subtracting with same denominator (a/b) - (c/b)=((a - c)/b) Adding with diff erent denominator (a/b)+(c/d)=((ad)+(cb))/bd Subtracting with different denominator (a/b) - (c/d)=((ad) - (cb))/bd Multiplying Factors (a/b)(c/d)=(ac)/(b*d) Dividing Factors (a/b)/(c/d)=(ad)/(bc) Factoring numbers a(c/d)= a+(c/d)= (ad+c)/d Intergers {...,−3,−2,−1,0,1,2,3,...}
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Real Numbers All numbers that are on number line. Integers plus fractions, decimals, and irrationals PEMDAS Parentheses, Exponents, Multiplication, Division, Addition, Subtraction Percentages part = (percent / 100) x whole percent of change ((New value - old value)/old value) X 100 Distance from A to B √(x2 − x1)^2 + (y2 − y1)^2 Parallel and Perpendicular lines Parallel lines have equal slopes. Perpendicular lines (i.e., those that make a 90 ∘ 90 ° angle where they intersect) have negative reciprocal slopes: 𝑚 1m1 . 𝑚 2=−1m2 = − 1.Parallel Lines (l ∥∥ m) Mid - point of the segment AB M ( 𝑥 1+ 𝑥 2/2),( 𝑦 1+ 𝑦 2/2) Slope of the line ( 𝑦 2− 𝑦 1)/( 𝑥 2 - 𝑥 1)= 𝑟𝑖𝑠𝑒 / 𝑟𝑢𝑛

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