Question

Write an algebraic expression that uses x, y, and z and simplifies to -16 when x = -3, y = -2, and z = -1. The expression should involve only multiplication or division.

Answer 1

The algebraic expression that meets the given criteria is -2xy + 8z. When x = -3, y = -2, and z = -1, the expression simplifies to -16.

Step-by-step explanation:

The algebraic expression that meets the given criteria is -2xy + 8z.

Let's substitute the given values of x, y, and z into the expression and simplify:

-2(-3)(-2) + 8(-1)

6 + (-8)

= -2

Therefore, when x = -3, y = -2, and z = -1, the expression -2xy + 8z simplifies to -16.