1. Equations & Inequalities

Solve each equation. See Example 2. (x+4)/2x = (x-1)/3

Solve each equation. See Example 2. 2x/(x-2) = 5 + 4x^2/(x-2)

Solve each equation. See Example 2. 3x^2/(x-1) + 2 = x/(x-1)

Solve each equation for the specified variable. (Assume all denominators are nonzero.) 1/R=1/r_1 + 1/r_2, for R

Solve each equation. 10/4x-4 = 1 /1-x

In Exercises 45–46, describe in words the variation shown by the given equation.z = kx^2 √y

In Exercises 45–46, describe in words the variation shown by the given equation.z = k√x / y^2

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies directly as z and inversely as the sum of y and w.

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies directly as z and inversely as the difference between y and w.

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies jointly as z and the difference between y and w.

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies jointly as z and the sum of y and w.

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies jointly as y and z and inversely as the square of w.

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies jointly as y and z and inversely as the square root of w.

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies directly as the cube root of z and inversely as y.

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies directly as the cube of z and inversely as y.