EVALUATE ALGEBRAIC EXPRESSIONS

Evaluate the algebraic expression for the given values.

Example 1 :

7x + 8 when x = 2

Solution :

Apply x = 2 in the function, we get

= 7(2) + 8

= 14 + 8

= 22

Example 2 :

5x − 4 when x = 6

Solution :

Apply x = 6 in the function, we get

= 5(6) - 4

= 30 - 4

= 26

Example 3 :

x² when x = 12

Solution :

Apply x = 12 in the function, we get

= 12²

= 144

Example 4 :

4^x when x = 2

Solution :

Apply x = 2 in the function, we get

= 4²

= 16

Example 5 :

x² + 3x - 7 when x = 4

Solution :

Apply x = 2 in the function, we get

= 2² + 3(2) - 7

= 4 + 6 - 7

= 10 - 7

= 3

Example 6 :

(x - y)² when x = 10 and y = 7

Solution :

Apply x = 10 and y = 7 in the function, we get

= (x - y)²

= (10 - 7)²

= 3²

= 9

Example 7 :

a² + b² when a = 3 and b = 8

Solution :

Apply a = 3 and b = 8 in the function, we get

= a² + b²

= 3² + 8²

= 9 + 64

= 73

Example 8 :

r² - s² when r = 12 and s = 5

Solution :

Apply r = 12 and s = 5 in the function, we get

= r² - s²

= 12² - 5²

= 144 - 25

= 119

Example 9 :

2L + 2W when L = 15 and W = 12

Solution :

Apply L = 15 and W = 12 in the function, we get

= 2(15) + 2(12)

= 30 + 24

= 54

Example 10 :

2x + 4y - 5 when x = 7 and y = 8

Solution :

Apply x = 7 and y = 8 in the function, we get

= 2(7) + 4(8) - 5

= 14 + 32 - 5

= 46 - 5

= 41