# SUBTRACTING LINEAR EXPRESSIONS WORKSHEET

## About "Subtracting linear expressions worksheet"

Subtracting linear expressions worksheet :

Here we are going to some practice questions on subtracting linear expressions.

(1)  Subtract -6p - 8 from -3p - 6

(2)  Subtract 3xy - 4 from xy + 12

(3)  Subtract m(n - 3) from n(5 - m)

(4)  Subtract 9p - 5q from -10p + 6q

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

(6)  If A = 8x - 3y + 9, B = - y - 9 and C = 4x - y - 9

find A + B - C.

## Subtracting linear expressions worksheet - Solution

Question 1 :

Subtract -6p - 8 from -3p - 6

Solution :

Horizontal method :

=  (-6p - 8) - (-3p - 6)

=  -6p - 8 + 3p + 6

=  -6p + 3p - 8 + 6

=  -3p - 2

Vertical method :

Question 2 :

Subtract 3xy - 4 from xy + 12

Solution :

Horizontal method :

=  (xy + 12) - (3xy - 4)

Distributing the negative sign, we get

=  xy + 12 - 3xy + 4

=  xy - 3xy + 12 + 4

=  -2xy + 16

Question 3 :

Subtract m(n - 3) from n(5 - m)

Solution :

Horizontal method :

=  n(5 - m) - m(n - 3)

Distributing n and m, we get

=  5n - nm - mn + 3m

=  5n - 2nm + 3m

Example 4 :

Subtract 9p - 5q from -10p + 6q

Solution :

Horizontal method :

=  -10p + 6q - (9p - 5q)

=  -10p + 6q - 9p + 5q

=  -10p - 9p + 6q + 5q

=  -19p +  11q

Example 5 :

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

Solution :

Horizontal method :

=   3(5p - q + 3) - 2(p - q)

=  15p - 3q + 9 - 2p + 2q

Combining the like terms

=  15p - 2p - 3q + 2q + 9

=  13p - q + 9

Example 6 :

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

find A + B - C.

Solution :

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

=  8x - 3y + 9 - y - 9 - 4x + y + 9

=  8x - 4x - 3y - y + y  + 9 - 9 + 9

=  4x - 4y + y  + 9

=  4x - 3y + 9

Hence the answer is 4x - 3y + 9.

After having gone through the stuff given above, we hope that the students would have understood "Subtracting linear expressions worksheet".

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