# EVALUATE FOR GIVEN VALUE OF VARIABLES

To evaluate the given algebraic expression, first we have to apply the given values instead of the variables in the expression.

After applying the values in the given expression, we have to use order of operations to combine them.

BODMAS, PEMDA or GEMDAS

• First brackets, parenthesis of grouping.
• Exponents
• Multiplication or division

From left to right, choose the operation which comes first and evaluate.

Evaluate the following expressions when

x = 8, y = 9 and z = 10

Problem 1 :

2-x - √y

Solution :

= 2-x - √y

Substitute x = 8 and y = 9

= 2-8 - √9

= 2(-2) - 3

= -4 - 3

= -7

Problem 2 :

z² + (xy/y) - 5

Solution :

= z² + xy/y - 5

Substitute x = 8, y = 9 and z = 10

= (10)² + (8) (9) / 9 - 5

= 100 + 72 / 4

= 172/4

= 43

Problem 3 :

-5|x - z| + 1/2 z

Solution :

= -5|x - z| + 1/2 z

Substitute x = 8 and z = 10

= -5|8 - 10| + 1/2 (10)

= -5|-2| + 5

= -5(2) + 5

= -10 + 5

= -5

Problem 4 :

What is -4 - 2x + 7 when x = -5?

a. -7          b. 1         c. 13          d. 21

Solution :

= -4 - 2x + 7

By applying x = -5 in equation

= -4 - 2(-5) + 7

= -4 + 10 + 7

= -4 + 17

= 13

So, option (c) is correct.

Problem 5 :

What is 4a - c√b + 6 when a = 27, b = 64 and c = -2?

a. 2            b. 22            c. 26           d. 34

Solution :

= 4a - c√b + 6

Substitute a = 27, b = 64 and c = -2

= 427 - (-2)√64 + 6

= 4(3) + 2(8) + 6

= 12 + 16 + 6

= 34

So, option (d) is correct.

Problem 6 :

What is

|-5x + 6y| + √z / 5x - 22

when x = 2, y = -13 and z = 81

Solution :

= |-5x + 6y| + √z / 5x - 22

Substitute x = 2, y = -13 and z = 81

= |-5(2) + 6(-13)| + √81 / 52 - 22

= |-10 - 78| + 9 / 25 - 22

= |-88| + 9 / 3

= 88 + 9 / 3

= 97/3

= 32.3

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