TSIA2 STUDY GUIDES: MATH WITH COMPLETE SOLUTIONS

Adding with same denominator correct answer: (a/b)+c/b)=((a+c)/b) Subtracting with same denominator correct answer: (a/b)-(c/b)=((a-c)/b) Adding with different denominator correct answer: (a/b)+(c/d)=((ad)+(cb))/bd Subtracting with different denominator correct answer: (a/b)-(c/d)=((ad)-(cb))/bd Multiplying Factors correct answer: (a/b)*(c/d)=(a*c)/(b*d) Dividing Factors correct answer: (a/b)/(c/d)=(ad)/(bc) Factoring numbers correct answer: a(c/d)= a+(c/d)= (ad+c)/d Intergers correct answer: {...,−3,−2,−1,0,1,2,3,...} Real Numbers correct answer: All numbers that are on number line. Integers plus fractions, decimals, and irrationals PEMDAS correct answer: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction Percentages correct answer: part = (percent / 100) x whole percent of change correct answer: ((New value - old value)/old value) X 100 Distance from A to B correct answer: √(x2 − x1)^2 + (y2 − y1)^2 Parallel and Perpendicular lines correct answer: Parallel lines have equal slopes. Perpendicular lines (i.e., those that make a 90∘90° angle where they intersect) have negative reciprocal