EVALUATE VARIABLE EXPRESSIONS INVOLVING INTEGERS

Example 1 :

Evaluate the expression for x = 2.

5 + x

Solution :

= 5 + x

Substitute x = 2.

= 5 + 2

= 7

Example 2 :

Evaluate the expression for x = -1.

-x + 5

Solution :

Substitute x = -1.

= -x + 5

= -(-1) + 5

= 1 + 5

= 6

Example 3 :

Evaluate the expression for p = 3.

p - 6

Solution :

= p - 6

Substitute p = 3.

= 3 - 6

= -3

Example 4 :

Evaluate the expression for r = -2.

-r + 5

Solution :

= -r + 5

Substitute r = -2.

= -(-2) + 5

= 2 + 5

= 7

Example 5 :

Evaluate the expression for m = 0.

m - 5

Solution :

= m - 5

Substitute m = 0.

 = 0 - 5

  = -5

Example 6 :

Evaluate the expression for t = -4.

5t - 3

Solution :

= 5t - 3

Substitute t = -4.

= 5(-4) - 3

  = -20 - 3

= -23

Example 7 :

Evaluate the expression for x = 5 and y = 6.

x + y - 9

Solution :

= x + y - 9

Substitute x = 5 and y = 6.

= 5(-4) - 3

  = -20 - 3

= -23

Example 8 :

Evaluate the expression for x = 2 and y = -3.

3x + 2y

Solution :

= 3x + 2y

Substitute x = 2 and y = -3.

= 3(2) + 2(-3)

= 6 - 6

= 0

Example 9 :

Evaluate the expression for m = -1 and n = -2.

-2m + 3n + 5

Solution :

= -2m + 3n + 5

Substitute m = -1 and n = -2.

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

= 2 - 5 + 5

= 2

Example 10 :

Evaluate the expression for p = 5 and q = 7.

(5/p) + (7/q)

Solution :

= (5/p) + (7/q)

Substitute p = 5 and q = 7.

= (5/5) + (7/7)

= 1 + 1

= 2

Example 11 :

Evaluate the expression for x = 5, y = 8 and z = 6.

(y² + z) ÷ x

Solution :

= (y² + x) ÷ x

Substitute x = 5, y = 8 and z = 6.

= (8² + 6) ÷ 5

= (64 + 6) ÷ 5

= 70 ÷ 5

= 14

Example 12 :

Evaluate the expression for p = 6, q = 5 and r = 4.

(pq - 28)² ÷ r

Solution :

(pq - 28)² ÷ r

Substitute p = 6, q = 5 and r = 4.

= [(6)(5) - 28]² ÷ 4

= (30 - 28)² ÷ 4

= 2² ÷ 4

= 4 ÷ 4

= 1

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