Welcome to GreeneMath.com, your source for free math help!
Adding Rational Expressions Test
About Adding & Subtracting Rational Expressions:

When we add or subtract rational expressions, we must first have a common denominator. Once we have a common denominator, we add or subtract numerators and place the result over the common denominator. Lastly, we always simplify our result.

Test Objectives:

•Demonstrate the ability to find the LCD for a group of rational expressions

•Demonstrate the ability to add rational expressions

•Demonstrate the ability to subtract rational expressions

Adding & Subtracting Rational Expressions Test:




#1:


Instructions: Perform each indicated operation.


a)


v - 3   -   v + 1
3(5v - 2) 3(5v - 2)

b)


x + 1   +   x + 3
(x + 2)(x + 7) (x + 2)(x + 7)

Watch the Step by Step Video Solution  
|
   View the Written Solution



#2:


Instructions: Perform each indicated operation.


a)


p - 4   +   2p - 3
2(2p + 5) 2(2p + 5)

b)


6n + 5   -   n + 3
(3n - 1)(5n + 2) (3n - 1)(5n + 2)

Watch the Step by Step Video Solution  
|
   View the Written Solution



#3:


Instructions: Perform each indicated operation.


a)


4n   -   2n - 1
n - 2 4n - 8

b)


5   +   4
2m + 3 5m + 4

Watch the Step by Step Video Solution  
|
   View the Written Solution



#4:


Instructions: Perform each indicated operation.


a)


3x2 - 5x - 7   +   4x2 - 3x + 8
2x2 - 2 5x + 5

Watch the Step by Step Video Solution  
|
   View the Written Solution



#5:


Instructions: Perform each indicated operation.


a)


7x   -   3x   +   2x - 5
x2 + 3x x2 - x x2 + 2x - 3

Watch the Step by Step Video Solution  
|
   View the Written Solution



Written Solutions:




#1:


Solution:


a)


-4
3(5v - 2)

b)


2
x + 7

Watch the Step by Step Video Solution



#2:


Solution:


a)


3p - 7
2(2p + 5)

b)


1
3n - 1

Watch the Step by Step Video Solution



#3:


Solution:


a)


14n + 1
4(n - 2)

b)


33m + 32
(2m + 3)(5m + 4)

Watch the Step by Step Video Solution



#4:


Solution:


a)


8x3 + x2 - 3x - 51
10(x + 1)(x - 1)

Watch the Step by Step Video Solution



#5:


Solution:


a)


3(2x - 7)
(x + 3)(x - 1)

Watch the Step by Step Video Solution