EVALUATE MULTI VARIABLE EXPRESSIONS

Evaluate the following expressions using the given values of the variables.

Example 1 :

y ÷ 2 + x, use x = 1 and y = 2

Solution :

= 4 + 1

= 5

Example 2 :

x + y + y; use x = 9 and y = 10

Solution :

  =  x + y + y

Substitute x = 9 and y = 10.

  =  9 + 10 + 10

  = 29

Example 3 :

 z(x + y); use x = 6, y = 8 and z = 6

Solution :

  =  z(x + y)

Substitute y = 8 and z = 6.

  =  6(6 + 8)

  =  6(14)

  =  84

Example 4 :

(y + x) ÷ 2 + x; use x = 1 and y = 1

Solution :

  =  (y + x) ÷ 2 + x

Substitute x = 1 and y = 1.

=  (1 + 1) ÷ 2 + 1

=  2 ÷ 2 + 1

  =  1 + 1

  =  2

Example 5 :

z − (y ÷ 3 - 1); use y = 3 and z = 7

Solution :

  =  z - (y ÷ 3 - 1)

Substitute y = 3 and z = 7.

=  7 - (3 ÷ 3 - 1)

=  7 - (1 - 1)

=  7 - 0

=  7

Example 6 :

 p - (9 - (m + q)); use m = 4, p = 5 and q = 3

Solution :

  =   p - (9 - (m + q))

Substitute m = 4, p = 5, and q = 3.

=  5 - (9 - (4 + 3))

=  5 - (9 - 7)

=  5 - 2

=  3

Example 7 :

y - (4 - x - y ÷ 2); use x = 3 and y = 2

Solution :

=  y - (4 - x - y ÷ 2)

Substitute x = 3 and y = 2.

 =  2 - (4 - 3 - 2 ÷ 2)

 =  2 - (4 - 3 - 1)

 =  2 - (4 - 4)

 =  2 - 0

=  2

Example 8 :

y ÷ 5 + 1 + x ÷ 6; use x = 6 and y = 5

Solution :

  =    y ÷ 5 + 1 + x ÷ 6

Substitute x = 6 and y = 5.

 =  5 ÷ 5 + 1 + 6 ÷ 6

 =  1 + 1 + 1

=  3

Example 9 :

p - (9 - (m + q)); use m = 4, p = 5, and q = 3

Solution :

=   p - 9 - (m + q))

Substitute m = 4, p = 5 and q = 3.

 =  5 - (9 - (4 + 3))

=  5 - (9 - 7)

=  5  - 2

=  3

Example 10 :

6q + m - m; use m = 8 and q = 3 

Solution :

=  6q + m - m

Substitute m = 8 and q = 3.

 =  6(3)  + 8 - 8

=  18 + 0

=  18

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