TSIA2 STUDY GUIDES MATH Latest Update Actual Exam Questions and 100% Verified Correct Answers| Graded A+

TSIA2 STUDY GUIDES MATH Latest Update 2024-
2025 Actual Exam Questions and 100% Verified
Correct Answers| Graded A+
Adding with same denominator - ANSWER (a/b)+c/b)=((a+c)/b)



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



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



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



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



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



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



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



Real Numbers - ANSWER All numbers that are on number line. Integers plus fractions, decimals,
and irrationals



PEMDAS - ANSWER Parentheses, Exponents, Multiplication, Division, Addition, Subtraction



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

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



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



Parallel and Perpendicular lines - ANSWER 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 - ANSWER M (𝑥1+𝑥2/2),(𝑦1+𝑦2/2)



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



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



Factoring - ANSWER "FOIL"

(𝑥+𝑎)(𝑥+𝑏)(x+a)(x+b)=

𝑥2+(𝑏+𝑎)𝑥+𝑎𝑏=

x2+(b+a)x+ab

"Difference of Squares"

𝑎2−𝑏2=

(𝑎+𝑏)(𝑎−𝑏)a2−b2=

(a+b)(a−b)𝑎2+2𝑎𝑏+𝑏2=