1. Equations & Inequalities

Solve and check each linear equation. 2(x - 1) + 3 = x - 3(x + 1)

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? E = mc² for m

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

Exercises 73–75 will help you prepare for the material covered in the next section. Simplify: √18 - √8

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. 3x/5 = 2x/3 + 1

Solve each equation. | 4x + 2 | = 5

In Exercises 61–66, find all values of x satisfying the given conditions. $y_1 = \(\frac{x - 3}{5}\), \(\quad\) y_2 = \(\frac{x - 5}{4}\), \(\quad\) \(\text{and}\) \(\quad\) y_1 - y_2 = 1$

Solve and check each linear equation. x - 5(x + 3) = 13

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = P + Prt for r

Solve each equation. 0.2x - 0.5 = 0.1x+7

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 2|3x - 2| = 14

A repair bill on a sailboat came to \$2356, including \$826 for parts and the remainder for labor. If the cost of labor is \$90 per hour, how many hours of labor did it take to repair the sailboat?