Question

The sum of a number and five is multiplied by eight. The result is equal to negative fifty-six. The value of the number is ______.

A. -12
B. 7
C. -7
D. 12

Answer 1

A because the sum of numbers (-12) +5 = -7 which multiplied by 8 equals with -56

Answer 2

Let x=the value of the number

The sum of a number (x) and 5 is muliplied by
8. This expression can be written as:

(x+5)•8

The result is equal to -56 so the equation can be written as-

(x+5)•8=-56

We can use the distributive property to muliply 8 by what is in the parenthesis.

8(5+x)
8(5) + 8(x)

40 + 8x

Once simplified 40 + 8x=-56 can represent the equation.

Now we can subtract 40 on both sides.
40 - 40 + 8x=-56 - 40
8x=-96
Then we divide by 8 on both sides to get a final answer of -12

A. -12