ADDING LINEAR EXPRESSIONS WORKSHEET

1. Add (-6p - 8) and (-3p - 6).

2. Add (-8r - 2) and (4r - 3).

3. Add (-z - 8) and (6z - 5).

4. Add (s + t), (2s - t) and (-s + t).

5. Add (3a - 2b) and (2p + 3q).

6. Add (2a + 5b + 7), (8a - 3b + 3) and (-5a - 7b - 6).

7. Add (6x + 7y + 3), (-8x - y - 7) and (4x - 4y + 2).

8. Add (6a - 3b) and (7a - 5b).

1. Answer :

= (-6p - 8) + (-3p - 6)

= -6p - 8 - 3p - 6

Group the like terms.

= (-6p - 3p) + (-8 - 6)

Combine the like terms.

= (-9p) + (-14)

= -9p - 14

2. Answer :

= (-8r - 2) + (4r - 3)

= -8r - 2 + 4r - 3

Group the like terms.

= (-8r + 4r) + (-2 - 3)

Combine the like terms.

= (-4r) + (-5)

= -4r - 5

3. Answer :

= (-z - 8) + (6z - 5)

 = -z - 8 + 6z - 5

Group the like terms.

= (-z + 6z) + (-8 - 5)

Combine the like terms.

= (5z) + (-13)

= 5z - 13

4. Answer :

= (s + t) + (2s - t) +  (-s + t)

= s + 2s - s + t - t + t

Group the like terms.

= (s + 2s - s) + (t - t + t)

Combine the like terms.

= (2s) + (t)

= 2s + t

5. Answer :

= (3a - 2b) + (2p + 3q)

 = 3a - 2b + 2p + 3q

6. Answer :

= (2a + 5b + 7) + (8a - 3b + 3) + (-5a - 7b - 6)

= 2a + 5b + 7 + 8a - 3b + 3 - 5a - 7b - 6

Group the like terms.

= (2a  + 8a - 5a) + (5b - 3b - 7b) + (7 + 3 - 6)

Combine the like terms.

= (5a) + (-5b) + (4)

= 5a - 5b + 4

7. Answer :

= (6x + 7y + 3)  + (- 8x - y - 7) + (4x - 4y + 2)

= 6x + 7y + 3 - 8x - y - 7 + 4x - 4y + 2

Group the like terms.

= (6x - 8x + 4x) + (7y - y - 4y) + (3 - 7 + 2)

Combine the like terms.

= (2x) + (2y) + (-2)

= 2x + 2y - 2

8. Answer :

= (6a - 3b) + (7a - 5b)

= 6a - 3b + 7a - 5b

Group the like terms.

= (6a + 7a) + (-3b - 5b)

Combine the like terms.

= (13a) + (-8b)

= 13a - 8b

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