Worksheet on Adding and Subtracting Polynomials

Practice the problems given in the worksheet on adding and subtracting polynomials. The questions are based on different types of word problems on addition and subtraction of polynomials.

1. Solve the following subtraction:

(i) Take – (3/2)a + b – c from (1/2)a – (1/3)b – (3/2)c

(ii) Take 1 – x + x² from x² + x + 1

(iii) Take 3a + 2b – 6c from 8a – 4b – 2c

2. (i) What should be added to 3m to get 5m?

(ii) What should be added to -p to get 4p?

(iii) What should be added to x - y to get 2x + y?

3. From the sum of a + b – 2c and 2a – b + c, subtract a + b + c.

4. Subtract the sum of p + q and p – r from the sum of p – 2r and p + q + r.

5. The sum of two expressions is 5m² – 3n². If one of them is 3m² + 4mn – n², find the other.

6. From the sum of a - b + 11 and –b – 9, subtract 2a - 3b - 1.

7.What should be added to m³ + 3mn + 2n² to obtain 5m² + mn?

8. How much does 3m² – 2m + 1 exceed 5m² – a² + 5a – 9?

9. How much is 8z² – 3z + 4 less than z³ – 2z² + 5z - 1?

10. By how much must 3x + 7z be diminished to give 5x – 7z?

11. Subtract z³ – z² + z - 1 from z³ - 2z² + 1 and add your result to z² – 3z² + z - 1.

Answers for the worksheet on adding and subtracting polynomials are given below to check the exact answers of the above word problems.

Answers:

1. (i) 2a – (4/3)b – (1/2)c

(ii) 2x

(iii) 5a – 6b + 4c

2. (i) 2m

(ii) 5p

(iii) x + 2y

3. 2a – b – 2c

4. 0