TSIA2 STUDY GUIDES: MATH EXAM QUESTIONS AND ANSWERS 100% PASS

TSIA2 STUDY GUIDES: MATH EXAM
QUESTIONS AND ANSWERS 100% PASS




Adding with same denominator - ANS (a/b)+c/b)=((a+c)/b)



Subtracting with same denominator - ANS (a/b)-(c/b)=((a-c)/b)



Adding with different denominator - ANS (a/b)+(c/d)=((ad)+(cb))/bd



Subtracting with different denominator - ANS (a/b)-(c/d)=((ad)-(cb))/bd



Multiplying Factors - ANS (a/b)*(c/d)=(a*c)/(b*d)



Dividing Factors - ANS (a/b)/(c/d)=(ad)/(bc)



Factoring numbers - ANS a(c/d)= a+(c/d)= (ad+c)/d



Intergers - ANS {...,−3,−2,−1,0,1,2,3,...}



Real Numbers - ANS All numbers that are on number line. Integers plus fractions, decimals,
and irrationals
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, PEMDAS - ANS Parentheses, Exponents, Multiplication, Division, Addition, Subtraction



Percentages - ANS part = (percent / 100) x whole



percent of change - ANS ((New value - old value)/old value) X 100



Distance from A to B - ANS √(x2 − x1)^2 + (y2 − y1)^2



Parallel and Perpendicular lines - ANS Parallel lines have equal slopes. Perpendicular lines
(i.e., those that make a 90∘90° angle where they intersect) have negative reciprocal slopes:
𝑚1m1 .𝑚2=−1m2=−1.Parallel Lines (l ∥∥ m)



Mid-point of the segment AB - ANS M (𝑥1+𝑥2/2),(𝑦1+𝑦2/2)



Slope of the line - ANS (𝑦2−𝑦1)/(𝑥2-𝑥1)=𝑟𝑖𝑠𝑒/𝑟𝑢𝑛



Point-slope form - ANS y-y1=m(x-x1), where (x1,y1) is any point on the line and m is the slope
of the line



Slope-intercept form - ANS y=mx+b, where m is the slope and b is the y-intercept of the line.



Factoring - ANS "FOIL"

(𝑥+𝑎)(𝑥+𝑏)(x+a)(x+b)=

𝑥2+(𝑏+𝑎)𝑥+𝑎𝑏=

x2+(b+a)x+ab


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