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Rational Expressions: Add & Subtract

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Rational Expressions: Add & Subtract

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Add/subtract rational expressions practice

Created by

Dandee Gamata
Dandee Gamata
Philippines

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Rational Expressions: Add & Subtract
 

Rational Expressions: Add & SubtractOnline version

Add/subtract rational expressions practice

by Dandee Gamata
1

Compute: (x+3)/(x-2) + (2x-5)/(x-2).

2

Compute: (x-4)/(x+1) - (3x+2)/(x+1).

3

Compute: (2x)/(x-3) + (x)/(x-3).

4

Compute: (x+5)/(x-1) - (x+3)/(x-1).

5

Compute: (x+2y)/(3) - (x-?)/3.

6

Compute: (x-4y)/(3) + (x+4y)/3.

7

Compute: (x^2-4)/(x-2) + (4)/(x-2).

8

Compute: (3x-1)/(x-2) - (2x-3)/(x-2).

9

Compute: (x+1)/(x+2) + (x-3)/(x+2).

10

Compute: (x-5)/(x+1) - (x-5)/(x+1).

Feedback

Sum numerators since denominators equal; result correct is (3x-2)/(x-2).

Subtract numerators over the common denom: x+1.

Add numerators since denominators match.

Subtract numerators: (x+5)-(x+3)=2.

Note: uses common denominator; correct form given in data.

Combine numerators: x-4y + x+4y = 2x; over 3.

(x^2-4+4)/(x-2) simplifies to x^2/(x-2).

Subtract numerators: (3x-1)-(2x-3)=x+2.

Add numerators: x+1 + x-3 = 2x-2.

Same fraction subtracts to zero.

 
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