Question

Which expression is equivalent to the expression shown?
4(-9 + (-3) + 8)

A
4(12 + 8)

B
4(-9) + 4(3 + 8)

C
4(1) + 4(-3)

D
4(-9) + 4(5)

Answer 1

The answer would be D.

Answer 2

The equivalent expression is 4(-9)+4(5), so option D is correct.

Equivalent expression:

Important information:

• The given expression is $4(-9+(-3)+8)$.

The given expression can be written as:

$=4(-9+(-3+8))$

$=4(-9+5)$

$=4(-9)+4(5)$

So, option D is correct.

The value of the given expression is:

$4(-9+(-3)+8)=4(-4)$

$4(-9+(-3)+8)=-16$

The value of other expressions are:

$4(12+8)=80\neq -16$

$4(-9)+4(3+8)=8\neq -16$

$4(1)+4(-3)=-8\neq -16$

$4(-9)+4(5)=-16$

It means options A, B and C are incorrect.

Therefore, the equivalent expression is 4(-9)+4(5), so option D is correct.

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