1. Equations & Inequalities

Solve each problem. See Examples 5 and 6. Formaldehyde is an indoor air pollutant formerly found in plywood, foam insulation, and carpeting. When concentrations in the air reach 33 micrograms per cubic foot (μg/ft^3), eye irritation can occur. One square foot of new plywood could emit 140 μg per hr. (Data from A. Hines, Indoor Air Quality & Control.) The room contains 800 ft^3 of air and has no ventilation. Determine how long it would take for concentrations to reach 33 μg/ft^3. (Round to the nearest tenth.)

Solve each equation. |3x - 1 | = 2

The length of the rectangular tennis court at Wimbledon is 6 feet longer than twice the width. If the court's perimeter is 228 feet, what are the court's dimensions?

Solve each equation. ⁵√ 2x = ⁵√ 3x+2

Solve the equation.

$\(\frac\)92+\(\frac\)14\(\left\)(x+2\(\right\))=\(\frac\)34x$

Solve each equation. √(x+7)+3=√(x-4)

In Exercises 36–43, use the five-step strategy for solving word problems. The length of a rectangular field is 6 yards less than triple the width. If the perimeter of the field is 340 yards, what are its dimensions?

Solve each equation. 5 - 12x = 8 - 7x - [6 ÷ 3(2 + 5³) + 5x]

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = C/(1 - r) for r

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 

$-2\(\left\)(5-3x\(\right\))+x=7x-10$

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. 4/x = 5/2x + 3

After a 20% reduction, you purchase a television for \$336. What was the television's price before the reduction?