Question

Which expression has a value of -24 when a = -2 and b = 3?
A. a√16 + b - 10
B. a(√16 + b) -10
C. a√16 + (b - 10)
D. (a√16) + b - 10

Answer 1

The option B is correct, The second expression gives the correct value -24.

According to the statement

we have given that the some expression and a = -2 and b = 3 and we have to which expression gives a output of answer -24 after put the values in the expressions.

So, For this purpose

First expression:

$a\sqrt{16} + b - 10$

Put a = -2 and b = 3

then

$= -2\sqrt{16} + 3 - 10\\= -8 -7\\= 15$

Second expression:

$a(\sqrt{16} + b) -10$

Put a = -2 and b = 3

then

$a(\sqrt{16} + b) -10\\-2(4 +3) -10\\-14-10\\-24$

Now,

Third expression:

$a\sqrt{16} + (b - 10)$

Put a = -2 and b = 3

then

$a\sqrt{16} + (b - 10)-2*4 + (-7)\\-8-7\\-15$

Now,

Fourth expression and first expression are same,

So,

Fourth expression:

$a\sqrt{16} + b - 10$

Put a = -2 and b = 3

then

$= -2\sqrt{16} + 3 - 10\\= -8 -7\\= 15$

The second expression gives the correct value -24.

So, The option B is correct, The second expression gives the correct value -24.

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