Algebra Test

Result

Algebra Test - 8

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

If x = 2, y = 3 and z = 5, find the value of x²yz + xy² + (y - zx) + (z - yx) + (x - yz).

A
121

B
129

C
135

D
130

Solution

x²yz + xy² z + (y - zx) + (z - yx) + (x - yz)
Putting x = 2, y = 3 and z = 5, we get
= (2)² (3) (5) + (2) (3)² (5) + (3 - (5)(2)) + (5 - (2)(3)) + (2 - (3)(5))
= 60 + 90 + (-7) + (-1) + (-13)
= 150 - 7 - 1 - 13
= 150 - 21
= 129
Question 2
1 / -0

Find the value of 2abc + a² + b² + c² at a = 2, if b = -1 and c = -3.

A
24

B
23

C
26

D
27

Solution

2abc + a²+ b²+ c²
a = 2, b = -1, c = -3
= 2 (2) (-1) (-3) + (2)² + (-1)² + (-3)²
= 12 + 4 + 1 + 9
= 26