Algebraic Expressions Test

Result

Algebraic Expressions Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

The value of 16x² + 81y² - 72xy, when x = 20 and y = 4 is

A
1737

B
1836

C
1936

D
1976

Solution

When x = 20 and y = 4, then
16(20)² + 81(4)² - 72(20)(4)
= 6400 + 1296 - 5760
= 7696 - 5760
= 1936
Question 2
1 / -0

How many diagonals are there in a regular octagon?

A
10

B
20

C
25

D
40

Solution

Draw an octagon, select one vertex and construct each diagonal from this vertex. You will see there are 5 such diagonals.
Thus, for each of the 8 vertices, one can draw 5 diagonals and hence, one has constructed 5 x 8 = 40 diagonals.
But you have constructed each diagonal twice, once from each of its ends. Thus, there are 20 diagonals in a regular octagon.