This is not the document you are looking for? Use the search form below to find more!
Adding And Subtracting Rational Expressions
- Added: November, 16th 2011
- Reads: 103
- Downloads: 0
- File size: 275.83kb
- Pages: 9
- content preview
- Username: storysubmission11
- Name: storysubmission11
- Homepage: http://www.cardekho.com
- Documents: 329
Adding And Subtracting Rational Expressions
by: ramsingh11, 7 pagesAdding and Subtracting Rational Expressions Worksheet 1. Simplify the expression. 5x2x-1-2xx+2 a. x + 12(2x - 1)(x + 2) c.x(3x + 12)(2x - 1)(x + 2) b. x(x + 12)(2x - 1)(x + 2) d. x(x - 12)(2x - 2)(x ...
Adding And Subtracting Rational Expressions
by: mahesh4528, 3 pagesAdding And Subtracting Rational ExpressionsAdding And Subtracting Rational ExpressionsAdding And Subtracting Rational ExpressionsAdding And Subtracting Rational ExpressionsAdding And Subtracting ...
Adding and Subtracting Rational Numbers Worksheet
by: nishagoyal, 4 pagesAddition and subtraction are the hardest things you'll be doing with rational expressions because, just like with regular fractions, you'll have to convert to common denominators. Everything you ...
Adding and Subtracting Polynomials
by: math_edutireteam, 3 pagesAdding polynomials is just a matter of combining like terms, with some order of operations considerations thrown in. As long as you're careful with the minus signs, and don't confuse addition and ...
Multiplying Rational Expressions
by: storysubmission11, 6 pagesLearn about multiplying rational expressions concept. A rational expression is a polynomial term which in the form of fraction. It may be any type of polynomial such as monomial, trinomial ...
Adding And Subtracting Positive And Negative Numbers Worksheet
by: tutorciecleteam, 4 pagesIntegers are the positive and negative numbers which extend in both the directions on the number line infinitely. If we draw a number line, we can see that 0 lies in the center of positive and ...
Solving Equations with Rational Expressions
by: math_edutireteam, 3 pagesWhile adding and subtracting rational expressions is a royal pain, solving rational equations is much simpler. (Note that I don't say that it's "simple", just that it's "simpler".) This is because, ...
Subtracting Rational Numbers
by: math_edutireteam, 3 pagesHow to Subtract Rational Numbers :- The explanation for subtracting rational numbers are as follows, - The subtraction operations can also be performed using the rational numbers. - The rules used ...
Rational Expressions Word Problems
by: nishagoyal, 4 pagesThe rational expression is an expression which is expressed in from of two integers. The rational expression is rational because one integer is divided by the second one. This is the definition of ...
Rational Expressions Applications
by: tutorciecle123, 4 pagesIn mathematics, a rational expression is the type of expression which is used to represent the mathematical problem in the form of two integers. Rational numbers are the type of number system which ...
Expressions
1.Simplifytheexpression.5x2x12xx+2
a. x+12(2x1)(x+2)
b. x(x+12)(2x1)(x+2)
c. x(3x+12)(2x1)(x+2)
d. x(x12)(2x2)(x+1)
Solution:5x2x12xx+2[Originalexpression.]
TheLCDis(2x1)(x+2).
Torewrite5x2x1withadenominatorof(2x1)(x+2),multiplythenumeratoranddenominator
by(x+2).
Torewrite2xx+2withadenominatorof(2x1)(x+2),multiplythenumeratoranddenominator
by(2x1).
LearnMoreaboutSimplifyingAlgebraicExpressions
5x(x+2)(2x1)(x+2)2x(2x1)(x+2)(2x-1)[RewriteusingLCD.]
=5x2+10x(2x1)(x+2)4x22x(x+2)(2x-1)[Simplifynumerators.]
=5x2+10x4x2+2x(2x1)(x+2)[Subtract.]
=x2+12x(2x1)(x+2)[Combineliketerms.]
=x(x+12)(2x1)(x+2)[Factor.]
So,thedifferenceisx(x+12)(2x1)(x+2).
2.Simplifytheexpression.x+3x+4xx+5
a. 15(x+4)(x+5)
b. 4x+15(x+4)(x+5)
c. 2(x+2)(x+4)(x+5)
d. 8x+15(x+4)(x+5)
Solution:x+3x+4xx+5[Originalexpression.]
TheLCDis(x+4)(x+5).
Torewritex+3x+4withadenominatorof(x+4)(x+5),multiplythenumeratoranddenominator
by(x+5).
Torewritexx+5withadenominatorof(x+4)(x+5),multiplythenumeratoranddenominatorby
(x+4).
ReadMoreMultiplyingRationalExpressions
(x+3)(x+5)(x+4)(x+5)(x)(x+4)(x+5)(x+4)[RewriteusingLCD.]
=x2+8x+15(x+4)(x+5)x2+4x(x+4)(x+5)[Simplifynumerators.]
=x2+8x+15x24x(x+4)(x+5)[Subtract.]
=4x+15(x+4)(x+5)[Combineliketerms.]
So,thedifferenceis4x+15(x+4)(x+5).
Correctanswer:(2)
3.Simplifytheexpression.3xx+32xx1
a.x(x9)(x+3)(x-1)
b.x(x+3)x1
c. x(x+9)(x+3)(x-1)
d. xx1
Solution:3xx+32xx1[Originalexpression.]
TheLCDis(x+3)(x-1).Torewrite3xx+3withadenominatorof(x+3)(x1),multiplythe
numeratoranddenominatorby(x-1).
Torewrite2xx1withadenominatorof(x+3)(x1),multiplythenumeratoranddenominatorby
(x+3).
3x(x1)(x+3)(x1)2x(x+3)(x+3)(x-1)[RewriteusingLCD.]
=3x23x(x+3)(x1)2x2+6x(x+3)(x-1)[Simplifynumerators.]
=3x23x2x26x(x+3)(x-1)[Subtract.]
=x29x(x+3)(x-1)[Combineliketerms.]
=x(x9)(x+3)(x-1)[Factor.]
So,thedifferenceisx(x9)(x+3)(x1).
4.Simplifytheexpression.3xx5+x4x+3
a. 4(x2+5x)(x+3)(x-5)
b. 2(x2+5)(x+3)(x5)
c. 4(x2+5)(x+3)(x-5)
d. 2(x+1)(x5)(x+3)
Solution:3xx5+x4x+3[Originalexpression.]
TheLCDis(x5)(x+3).
Torewrite3xx5withadenominatorof(x5)(x+3),multiplythenumeratoranddenominatorby
(x+3).
Torewritex4x+3withadenominatorof(x5)(x+3),multiplythenumeratoranddenominator
by(x5).
3x(x+3)(x5)(x+3)+(x4)(x5)(x+3)(x-5)[RewriteusingLCD.]
=3x2+9x(x5)(x+3)+x24x5x+20(x+3)(x-5)[Simplifynumerators.]
=3x2+9x+x24x5x+20(x+3)(x-5)[Add.]
=4x2+20(x+3)(x-5)[Combineliketerms.]
=4(x2+5)(x+3)(x-5)[Factor.]
So,thesumis4(x2+5)(x+3)(x5).
Correctanswer:(3)
5.Simplify:10x2x28100+9x(x10)x28100
a. 1x+90
b. xx90
c. 1x-90
d. Xx+90
Solution:10x2x28100+9x(x10)x2-8100[Originalexpression.]
=10x2+(9x)(x10)x2-8100[Addthenumerators.]
=10x29x2+90xx2-8100[Usedistributivepropertyofmultiplicationoversubtraction.]
=x2+90xx2-8100[Combinetheliketerms.]
=x(x+90)(x90)(x+90)[Factorthenumeratorandthedenominator.]
=xx-90[Divideoutthecommonfactors.]
6.Toaddrationalexpressionswithlikedenominators,addtheirnumeratorsandwritetheresult
overthe_________.
a. sumofthenumerators
b. sumofthedenominators
c. commondenominator
d. commonnumerator
Solution:Toaddrationalexpressionswithlikedenominators,addtheirnumeratorsandwritethe
resultoverthecommondenominator.
7.Simplify:1(x+1)+(x2)(x+1)
a. (x1)(x+1)
b. 1x+1
c. (x2)(x+1)
d. x(x+1)
Solution:Toaddrationalexpressionswithlikedenominators,addtheirnumeratorsandwritethe
resultoverthecommondenominator.
1(x+1)+(x2)(x+1)[Originalexpression.]
=1+(x2)(x+1)[Addthenumerators.]
=(x1)(x+1)[Combinetheliketerms.]
Correctanswer:(1)
8.Simplify:x2+3(3x4)x24(3x4)
a. 73x4
b. 83x4
c. 73+x4
d. 73x4
Solution:Tosubtractrationalexpressionswithlikedenominators,subtractthenumeratorsand
writetheresultoverthecommondenominator.
x2+3(3x4)x24(3x4)[Originalexpression.]
=x2+3(x24)3x4[Subtractthenumerators.]
=x2+3x2+43x4[Usedistributiveproperty.]
=73x4[Combinetheliketerms.]
Correctanswer:(4)
9.Add4xand1xx.
a. 4-xx
b. 5xx
c. 5x3x
d. 5x2x
Solution:Toaddrationalexpressionswithlikedenominators,addtheirnumeratorsandwritethe
resultoverthecommondenominator.
4x+1xx[Originalexpression.]
=4+(1x)x[Addthenumerators.]
=5xx[Simplify.]
Correctanswer:(2)
10.Simplify:10xx+5+5x+5
a. 15xx+5
b. xx+5
c. 15+xx+5
d. 15X+5
Solution:Toaddrationalexpressionswithlikedenominators,addthenumeratorsandwritethe
resultoverthecommondenominator.
10xx+5+5x+5[Originalexpression.]
=(10x)+5(x+5)[Addthenumerators.]
=15xx+5[Combineliketerms.]
ThankYou
TutorVista.com
Document Outline
-
-
-
-
-
-
Paid (e)Books
Radial Fractions Math Workbook (Addition and Subtraction): A Fun & Creative Visual Strategy to Practice…
$7.25 - $9.99
Add New Comment