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
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 4∛a - c√b + 6 when a = 27, b = 64 and c = -2?
a. 2 b. 22 c. 26 d. 34
Solution :
= 4∛a - c√b + 6
Substitute a = 27, b = 64 and c = -2
= 4∛27 - (-2)√64 + 6
= 4(3) + 2(8) + 6
= 12 + 16 + 6
= 34
So, option (d) is correct.
Problem 6 :
What is
|-5x + 6y| + √z / 5^{x} - 22
when x = 2, y = -13 and z = 81
Solution :
= |-5x + 6y| + √z / 5^{x} - 22
Substitute x = 2, y = -13 and z = 81
= |-5(2) + 6(-13)| + √81 / 5^{2} - 22
= |-10 - 78| + 9 / 25 - 22
= |-88| + 9 / 3
= 88 + 9 / 3
= 97/3
= 32.3
Jun 05, 23 09:20 PM
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