1. Equations & Inequalities

Solve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)

Solve each equation in Exercises 47–64 by completing the square. $x^2+6x=7$

Solve each equation in Exercises 47–64 by completing the square. $x^2-2x=2$

Solve each equation in Exercises 47–64 by completing the square. $2x^2-7x+3=0$

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $x^2-4x-5=0$

Solve each equation in Exercises 83–108 by the method of your choice. $5x^2+2=11x$

Solve each equation in Exercises 83–108 by the method of your choice. $3x^2=60$

Solve each equation in Exercises 83–108 by the method of your choice. $x^2-2x=1$

Solve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4

Exercises 100–102 will help you prepare for the material covered in the next section. Factor: $x^2-6x+9$

Solve each equation in Exercises 1 - 14 by factoring. $x^2-3x-10=0$

Solve each equation in Exercises 15–34 by the square root property. $3(x-4{)}^2=15$

Solve each equation in Exercises 15–34 by the square root property. $(x+3{)}^2=-16$

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x^2+12x$

Solve each equation in Exercises 83–108 by the method of your choice. $9-6x+x^2=0$