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 + x 2 from x 2 + 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 5m 2 – 3n 2 . If one of them is 3m 2 + 4mn – n 2 , find the other.
6. From the sum of a - b + 11 and –b – 9, subtract 2a - 3b - 1.
7.What should be added to m 3 + 3mn + 2n 2 to obtain 5m 2 + mn?
8. How much does 3m 2 – 2m + 1 exceed 5m 2 – a 2 + 5a – 9?
9. How much is 8z 2 – 3z + 4 less than z 3 – 2z 2 + 5z - 1?
10. By how much must 3x + 7z be diminished to give 5x – 7z?
11. Subtract z 3 – z 2 + z - 1 from z 3 - 2z 2 + 1 and add your result to z 2 – 3z 2 + z - 1.
Answers for the worksheet on adding and subtracting polynomials are given below to check the exact answers of the above word problems.
1. (i) 2a – (4/3)b – (1/2)c
3. 2a – b – 2c
5. 2m 2 – 4mn – 2n 2
7. -m 3 + 5m 2 – 2mn – 2n 2
8. -2m 2 – 2m + 10 + a 2 – 5a
9. z 3 – 10z 2 + 8z - 5
10. -2x + 14z
11. 1 – 3z 3
● Terms of an Algebraic Expression - Worksheet