EVALUATING ALGEBRAIC EXPRESSIONS WORKSHEET

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Concepts to be known :

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

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More