ADDING BINOMIALS WORKSHEET

Question 1 :

Add (2x + 1) and (x + 2).

Question 2 :

Add (3y + 5) and (2y - 3).

Question 3 :

Add (2z - 5) and (z + 1).

Question 4 :

Add (3a - 1) and (2a - 5).

Question 5 :

Add (5.5y - 3) and (5 - 2.5y).

Question 6 :

Add (y - 1) and (6 - 3y).

Question 7 :

Add (k - 6.5) and (2k + 0.5).

Question 8 :

Add (2a + b) and (a + 3b).

Question 9 :

Add (x + 3y) and (3x - 5y).

Question 10 :

Add (3a² + 1) and (2 - a²).

Question 11 :

Add (6x² + 2y) and (3x² - 7y).

Question 12 :

Add (3p² - 5p) and (p² - 2p).

Question 13 :

Add (4ab - 1) and (3a - 2ab).

Question 14 :

Add (3y²z - 2) and (5 - 2y²z).

Question 15 :

Add (3a - b), (4b + c) and (2c - 3a).

Question 16 :

Add (3x² + xy²), (5x² - 2x²y) and (5xy² + 7x²y).

Answers

1. Answer :

= (2x + 1) + (x + 2)

= 2x + 1 + x + 2

Group the like terms and combine them.

= (2x + x) + (1 + 2)

= 3x + 3

2. Answer :

= (3y + 5) + (2y - 3)

= 3y + 5 + 2y - 3

Group the like terms and combine them.

= (3y + 2y) + (5 - 3)

= 5y + 2

3. Answer :

= (2z - 5) + (z + 1)

= 2z - 5 + z + 1

Group the like terms and combine them.

= (2z + z) + (-5 + 1)

= 3z + (-4)

= 3z - 4

4. Answer :

= (3a - 1) + (2a - 5)

= 3a - 1 + 2a - 5

Group the like terms and combine them.

= (3a + 2a) + (-1 - 5)

= 5a + (-6)

= 5a - 6

5. Answer :

= (5.5y - 3) + (5 - 2.5y)

= 5.5y - 3 + 5 - 2.5y

Group the like terms and combine them.

= (5.5y - 2.5y) + (-3 + 5)

= 3y + 2

6. Answer :

= (y - 1) + (6 - 3y)

= y - 1 + 6 - 3y

Group the like terms and combine them.

= (y - 3y) + (-1 + 6)

= -2y + 5

7. Answer :

= (k - 6.5) + (2k + 0.5)

= k - 6.5 + 2k + 0.5

Group the like terms and combine them.

= (k + 2k) + (-6.5 + 0.5)

= 3k + (-6)

= 3k - 6

8. Answer :

= (2a + b) + (a + 3b)

= 2a + b + a + 3b

Group the like terms and combine them.

= (2a + a) + (b + 3b)

= 3a + 3b

9. Answer :

= (x + 3y) + (3x - 5y)

= x + 3y + 3x - 5y

Group the like terms and combine them.

= (x + 3x) + (3y - 5y)

= 4x + (-2y)

= 4x - 2y

10. Answer :

= (3a² + 1) + (2 - a²)

= 3a² + 1 + 2 - a²

Group the like terms and combine them.

= (3a² - a²) + (1 + 2)

= 2a² + 3

11. Answer :

= (6x² + 2y) + (3x² - 7y)

= 6x² + 2y + 3x² - 7y

Group the like terms and combine them.

= (6x² + 3x²) + (2y - 7y)

= 9x² + (-5y)

= 9x² - 5y

12. Answer :

= (3p² - 5p) + (p² - 2p)

= 3p² - 5p + p² - 2p

Group the like terms and combine them.

= (3p² + p²) + (-5p - 2p)

= 4p² + (-7p)

= 4p² - 7p

13. Answer :

= (4ab - 1) + (3a - 2ab)

= 4ab - 1 + 3a - 2ab

Group the like terms and combine them.

= (4ab - 2ab) + 3a - 1

= 2ab + 3a - 1

14. Answer :

= (3y²z - 2) + (5 - 2y²z)

= 3y²z - 2 + 5 - 2y²z

Group the like terms and combine them.

= (3y²z - 2y²z) + (-2 + 5)

= y²z + 3

15. Answer :

= (3a - b) + (4b + c) + (2c - 3a)

= 3a - b + 4b + c + 2c - 3a

Group the like terms and combine them.

= (3a - 3a) + (-b + 4b) + (c + 2c)

= 0 + 3b + 3c

= 3b + 3c

16. Answer :

= (3x² + xy²) + (5x² - 2x²y) + (5xy² + 7x²y)

= 3x² + xy² + 5x² - 2x²y + 5xy² + 7x²y

Group the like terms and combine them.

= (3x² + 5x²) + (-2x²y + 7x²y) + (xy² + 5xy²)

= 8x² + 5x²y + 6xy²

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