1. Equations & Inequalities

Solve each equation. $\(\frac{5}{6}\)x - 2x + \(\frac{4}{3}\) = \(\frac{5}{3}\)$

Exercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 3/(2x - 2) + 1/2 = 2/(x - 1)

Exercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 3/(x + 2) + 2/(x - 2) = 8/(x + 2)(x - 2)

In Exercises 99–106, solve each equation. 0.7x + 0.4(20) = 0.5(x + 20)

Solve each equation. √(x+5) + 2 = √(x-1)

Solve each equation. 4[2x-(3-x)+5] = -6x - 28

Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. (1/2)(6x+20) = x+4 +2(x+3)

Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. F = GMm/r², for m (force of gravity)

In Exercises 1–26, solve and check each linear equation. 4(x + 9) = x

Work each problem. Elmer borrowed \$3150 from his brother Julio to pay for books and tuition. He agreed to repay Julio in 6 months with simple annual interest at 4%. How much will the interest amount to?

Solve each equation. 5x+4= 3x-4

Solve each problem. See Example 3. How many gallons of a 5% acid solution must be mixed with 5 gal of a 10% solution to obtain a 7% solution?