Chapter SH, Problem 2.7EP

To determine

To write the sentence into an equation and solve the problem

Answer to Problem 2.7EP

Equation is $8+\frac{1}{2}x=-2$

After solving the equation value of $x=-20$

Explanation of Solution

Given information:

Eight more than half a number is negative two

Calculation: let the number be x

The given statement can also be interpreted as

  $8+\frac{1}{2}x=-2$

Subtracting eight by both sides

  $8-8+\frac{x}{2}=-2-8$

Solving it further

  $\frac{x}{2}=-10$

Using cross multiplication and calculating final answer

  $x=-20$