EVALUATING ALGEBRAIC EXPRESSIONS WORKSHEET

Example 1 :

a³ - [(b² + c)/a] + (ab + c), if a = 4, b = -3 and c = 7

Solution :

= a³ - [(b² + c)/a] + (ab + c)

When a = 4, b = -3 and c =-7

= 4³ - [((-3)² + 7)/4] + [(4)(-3) + 7]

= 64 - [(9 + 7)/4] + [-12 + 7]

= 64 - (16/4) + (-5)

= 64 - 4 - 5

= 55

Example 2 :

What is the value of

(2c/a)² - 10 x (b +a)/c

if a = -2, b = 3 and c = 5 ?

Solution :

= (2c/a)² - 10 x (b +a)/c

= [2(5)/-2]² - 10 x (3 - 2)/5

= (-5)² - 10 x (1/5)

= 25 - 2

= 23

Example 3 :

What is the value of

9 - 2x ÷ (z - y)³

if x = 4, y = -1 and z = -3 ?

Solution :

= 9 - 2x ÷ (z - y)³

= 9 - 2(4) ÷ (-3 + 1)³

= 9 - 8 ÷ (-2)³

= 9 - 8 ÷ (-8)

= 9 + 1 

= 10

Example 4 :

If x = 10, what is the value of x/2 + x/20 + x/200 ?

Solution :

= x/2 + x/20 + x/200

When x = 10

= 10/2 + 10/20 + 10/200

= 5 + 1/2 + 1/20

= (100+10+1)/20

= 111/20

= 5.55

Example 5 :

If a = 3, b = -1 and c = -2, what is the value of 

7 - [(a - 12) ÷ (2 - b)]/(c+ 3) ?

Solution :

= 7 - [(a - 12) ÷ (2 - b)]/(c+ 3)

= 7 - [(3 - 12) ÷ (2 +1)]/(-2+ 3)

= 7 - (-9 ÷ 3)/(-2+ 3)

= 7 - (-3)/1

= 7 + 3

= 10