Worksheet on Adding and Subtracting Like Terms

Practice the questions given in the worksheet on adding and subtracting like terms. The questions are based on adding and subtracting like terms we need to collect different groups of like terms and then we need to find the sum and the difference of like terms in each group.

1. Add the following terms:

(i) 5a, -3a, -7a and 8a

(ii) 4x³, -9x³, 4x³ and -3x³

(iii) 4abc, -7abc, -9abc and 5abc

(iv) 4x²yz, -3x²yz, 7x²yz and -9x²yz

(v) -7a²b, ba², -8ba², 11a²b and -9a²b

(vi) 9xy, -2xy, 6xy, -4ay and xy

(vii) 12mn, -16mn, mn, - 7mn and 3mn

(viii) -6abz, 10abz, -3abz and 9abz

2. Subtract the following terms:

(i) 10a from 15a

(ii) 2x from -12x

(iii) 5x² from 9x²

(iii) 18z² from 10z²

(iv) -14x²y² from 2x²y²

(v) 16ab from 11ab

(vi) 17x⁵y⁷ from 15x⁵y⁷

(vii) m^4n² from 6n²m⁴

(viii) -9abxy from 2abxy

3. Find the sum of:

(i) 3a, 11a, a and 32a

(ii) -3x, -7x, -5x and 11x

(iii) 7ab, 2ab, -3ab, -5ab and ab

(iv) 5s, 2s, -3s, -s, -5s and s

(v) 5m, -3m, -7m, -21m and 15m

4. Simplify by combining like terms:

(i) 5z² – 11z + 4z² + 2z

(ii) 4x³ - 8x² + 12x² - 15x³

(iii) -13a²b + 9ab² - 5a²b + ab²

(iv) m³ + m² + m – 3m + 5m² - 9m³

(v) -8p³q² + 10p²q³ – 8p³q² – 8p²q³ + 5p³q²

(vi) 4a - 3b + 6c + 8a + 8b - 4c

(vii) p - 4q - 7r + 4r + 9p – 7q -3r + p - 5q

(viii) pq + 2qr – 3rp + 5pq + 6rp – 2qr + 8pq – 5qr + 3rp - 3rp

Answers for the worksheet on adding and subtracting like terms are given below to check the exact answers of the above simplification.

Answers:

1. (i) 3a

(ii) -4x³

(iii) -7abc

(iv) - x²yz

(v) -12a²b

(vi) 10xy

(vii) -7mn

(viii) 10abz

2. (i) 5a

(ii) -14x