Question

Chris is checking to determine if the expressions 2 (x + 3) and 2 x + 4 + 2 x are equivalent. When x = 1, he correctly finds that both expressions have a value of 8. When x = 2, he correctly evaluates the first expression to find that 2 (x + 3) = 10.

What is the value of the second expression when x = 2, and are the two expressions equivalent? I timed!!1111



The value of the second expression is 8, so the expressions are equivalent.
The value of the second expression is 10, so the expressions are equivalent.
The value of the second expression is 12, so the expressions are not equivalent.
The value of the second expression is 16, so the expressions are not equivalent.

Answer 1

option 3) The value of the 2nd expression is 12, so the expressions are not equivalent.

Reason:

Given expressions are

f((x) = 2(x+3)——>(1)

g(x) = 2x+4+2x

= 4(x+1)——>(2)

when x=1:

f(1) = 8, g(1) = 8

:.f(1)=g(1)

when x=2:

f(2)= 2(2+3)

= 10

g(2) = 4(2+1)

= 4×3

= 12

=> f(2) ≠ g(2)