1. Equations & Inequalities

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 2|4 - (5/2)x| + 6 = 18

A job pays an annual salary of \$57,900, which includes a holiday bonus of \$1500. If paychecks are issued twice a month, what is the gross amount for each paycheck?

In Exercises 1–26, solve and check each linear equation. 16 = 3(x - 1) - (x - 7)

Solve each equation. √x-√(x-12)=2

Evaluate x² - x for the value of x satisfying 4(x - 2) + 2 = 4x - 2(2 - x).

Solve each equation. 4x + 13 - {2x - [4(x - 3) - 5]} = 2(x - 6)

In the metric system of weights and measures, temperature is measured in degrees Celsius (°C) instead of degrees Fahrenheit (°F). To convert between the two systems, we use the equations. C =5/9 (F-32) and F = 9/5C+32. In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary. 20°C

Exercises 19–20 involve markup, the amount added to the dealer's cost of an item to arrive at the selling price of that item. The selling price of a refrigerator is \$1198. If the markup is 25% of the dealer's cost, what is the dealer's cost of the refrigerator?

Solve each equation. A= 24f / B(p+1), for f (approximate annual interest rate)

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. 20 - x/3 = x/2

Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. s = 1/2gt², for g (distance traveled by a falling object)

Solve each equation. (1/15)(2x+5) = (1/9)(x+2)

In Exercises 45–47, solve each formula for the specified variable. vt + gt^2 = s for g

Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. z = (x-μ)/σ, for x (standardized value)

Solve the equations containing absolute value in Exercises 94–95. |2x+1| = 7