OPERATIONS WITH RATIONAL EXPRESSIONS WORKSHEET
Operations with Rational Expressions Worksheet :
Here we are going to see some practice questions based on multiplying and dividing rational expressions.
Multiplication of rational numbers :
The product of two rational expression is the product of their numerators divided by the product of their denominators and the resulting expression is then reduced to its lowest form.
Division of rational numbers :
Thus division of one rational expression by other is equivalent to the product of first and reciprocal of the second expression. If the resulting expression is not in its lowest form then reduce to its lowest form.
Operations with Rational Expressions Worksheet - Questions
(i) (4x 2 y / 2z 2) ⋅ (6xz 3/20y 4) Solution (ii) (p 2 - 10p + 21)/(p - 7)⋅ (p 2 + p - 12)/(p-3) 2 Solution (iii) [5t 3 /(4t - 8)] ⋅ [(6t - 12)/10t] Solution (2) Simplify (i) [(x + 4)/(3x + 4y)] ⋅ [(9x 2 - 16y 2)/(2x 2 + 3x - 20)] Solution (ii) [(x 3 - y 3 )/(3x 2 +9xy+6y 2 ) ⋅ (x 2 + 2xy + y 2)/(x 2 - y 2) Solution (3) S implify (i) [(2a 2+5a+3)/ (2a 2 +7a+6) ] ÷ [(a 2 +6a+5)/(-5a 2 -35a-50)] Solution (ii) [(b 2 + 3b - 28)/(b 2 + 4b + 4)] ÷ [(b 2 - 49)/(b 2 - 5b - 14)] Solution (iii) [(x + 2)/4y] ÷ [ (x 2 - x - 6)/ 12y 2] Solution (iv) [ (12t 2 - 22t + 8)/3t] ÷ [(3t 2 + 2t - 8)/(2t 2 +4t)] Solution If x = (a (4) 2 + 3a - 4)/(3a 2 - 3) and y = (a 2 + 2a - 8)/(2a 2 - 2a - 4) find the value of x 2y -2 Solution
(5) If a polynomial p(x) = x 2 −5x −14 is divided by another polynomial q(x) we get (x - 7)/(x + 2), find q (x). Solution After having gone through the stuff given above, we hope that the students would have understood, " Operations with Rational Expressions Worksheet".
Apart from the stuff given in this section " Operations with Rational Expressions Worksheet" , if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS HCF and LCM word problems Word problems on simple equations Word problems on linear equations Word problems on quadratic equations Algebra word problems Word problems on trains Area and perimeter word problems Word problems on direct variation and inverse variation Word problems on unit price Word problems on unit rate Word problems on comparing rates Converting customary units word problems Converting metric units word problems Word problems on simple interest Word problems on compound interest Word problems on types of angles Complementary and supplementary angles word problems Double facts word problems Trigonometry word problems Percentage word problems Profit and loss word problems Markup and markdown word problems Decimal word problems Word problems on fractions Word problems on mixed fractrions One step equation word problems Linear inequalities word problems Ratio and proportion word problems Time and work word problems Word problems on sets and venn diagrams Word problems on ages Pythagorean theorem word problems Percent of a number word problems Word problems on constant speed Word problems on average speed Word problems on sum of the angles of a triangle is 180 degree OTHER TOPICS Profit and loss shortcuts Percentage shortcuts Times table shortcuts Time, speed and distance shortcuts Ratio and proportion shortcuts Domain and range of rational functions Domain and range of rational functions with holes Graphing rational functions Graphing rational functions with holes Converting repeating decimals in to fractions Decimal representation of rational numbers Finding square root using long division L.C.M method to solve time and work problems Translating the word problems in to algebraic expressions Remainder when 2 power 256 is divided by 17 Remainder when 17 power 23 is divided by 16 Sum of all three digit numbers divisible by 6 Sum of all three digit numbers divisible by 7 Sum of all three digit numbers divisible by 8 Sum of all three digit numbers formed using 1, 3, 4 Sum of all three four digit numbers formed with non zero digits Sum of all three four digit numbers formed using 0, 1, 2, 3
Sum of all three four digit numbers formed using 1, 2, 5, 6