1. Equations & Inequalities

Solve each equation. √x-√x+3= -1

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. (x + 3)/6 = 3/8 + (x - 5)/4

A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is 320 feet, what are its dimensions?

In Exercises 1–26, solve and check each linear equation. 7x + 4 = x + 16

Solve each equation or inequality.

$\mid x+10\mid =\mid x-11\mid$

Solve each problem. See Example 3. Aryan wishes to strengthen a mixture from 10% alcohol to 30% alcohol. How much pure alcohol should be added to 7 L of the 10% mixture?

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |2x - 1| = 5

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. x/5 - 1/2 = x/6

Match each equation in Column I with the correct first step for solving it in Column II. √(x+5) = 7

Work each problem. Round to the nearest tenth of a degree if necessary. Temperature in South Carolina A record high temperature of 113°F was recorded for the state of South Carolina on June 29, 2012. What is the corresponding Celsius temperature? (Data from U.S. National Oceanic and Atmospheric Administration.)

Including a 17.4% hotel tax, your room in Chicago cost \$287.63 per night. Find the nightly cost before the tax was added.

Solve each equation. 0.5x+ (4/3)x= x+10

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |x - 2| = 7

Work each problem. Levada borrows \$30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%. How much must she pay the bank in 18 months?

Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. 2(x-8) = 3x-16