SUBTRACTING LINEAR EXPRESSIONS WORKSHEET

Question 1 :

Subtract (-6p - 8) from (-3p - 6).

Question 2 :

Subtract (-z - 8) and (6z - 5).

Question 3 :

Subtract (9p - 5q) from (-10p + 6q).

Question 4 :

Subtract (6a - 3b) from (7a - 5b).

Question 5 :

Subtract (-5a - 7b - 6) from (2a + 5b + 7).

Question 6 :

Subtract (4x - 4y + 2) from (-8x - y - 7).

Question 7 :

Subtract 2(p - q) from 3(5p - q + 3).

Question 8 :

If A = 8x - 3y + 9, B = -y - 9 and C = 4x - y - 9, find

A + B - C

1. Answer :

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

Use Distributive Property.

= -6p - 8 + 3p + 6

Group the like terms.

= (-6p + 3p) + (-8 + 6)

Combine the like terms.

= (-3p) + (-2)

= -3p - 2

2. Answer :

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

= 6z - 5 + z + 8

Group the like terms.

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

Combine the like terms.

= 7z + 3

3. Answer :

= (-10p + 6q) - (9p - 5q)

Use Distributive Property.

= -10p + 6q - 9p + 5q

Group the like terms.

= (-10p - 9p) + (6q + 5q)

Combine the like terms.

= -19p + 11q

4. Answer :

= (7a - 5b) - (6a - 3b)

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

Group the like terms.

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

Combine the like terms.

= (a) + (-3b)

= a - 3b

5. Answer :

= (2a + 5b + 7) - (-5a - 7b - 6)

Use Distributive Property.

= 2a + 5b + 7 + 5a + 7b + 6

Group the like terms.

= (2a + 5a) + (5b + 7b) + (7 + 6)

Combine the like terms.

= 7a + 12b + 13

6. Answer :

= (-8x - y - 7) - (4x - 4y + 2)

Use Distributive Property.

= -8x - y - 7 - 4x + 4y - 2

Group the like terms.

= (-8x - 4x) + (-y + 4y) + (-7 - 2)

Combine the like terms.

= (-12x) + (3y) + (-9)

= -12x + 3y - 9

7. Answer :

= 3(5p - q + 3) - 2(p - q)

Use Distributive Property.

= 3(5p) + 3(-q) + +3(3) - 2(p) - 2(-q)

= 15p - 3q + 9 - 2p + 2q

Group the like terms.

= (15p - 2p) + (-3q + 2q) + 9

Combine the like terms.

= (13p) + (-q) + 9

= 13p - q + 9

8. Answer :

A + B - C = (8x - 3y + 9) + (-y - 9) - (4x - y - 9)

Use Distributive Property.

= 8x - 3y + 9 - y - 9 - 4x + y + 9

Group the like terms.

= (8x - 4x) + (-3y - y + y) + (9 - 9 + 9)

Combine the like terms.

= 4x + (-3y) + 9

= 4x - 3y + 9

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