1. PreCalculus Section P.1 Solving Equations

2. Equations and Solutions of Equations An equation that is true for every real number in the domain of the variable is called an identity. An equation that is true for just some (or even none) of the real numbers in the domain is called a conditional equation.

3. Linear Equations Equation in one variable that can be written in the standard form ax + b = 0 Has exactly one solution. Isolate the variable on one side to find the solution. Ex. 1: Solve 5x – 10 = 20.

4. Fractional Expressions Ex. 2 Solve

5. Equations with an Extraneous Solution Ex. 3:

6. Quadratic Equations A second degree polynomial that can be written in the general form ax 2 + bx + c = 0

7. 4 Methods to Solve Ex 1: Factoring

8. Ex. 2: Square Root Principle

9. Ex. 3: Completing the Square

10. Ex. 4: Quadratic Formula

11. Polynomial Equations of Higher Degree Ex: Solving by Factoring

12. Ex: Factoring by Grouping

13. Equations Involving Radicals Ex:

14. Equation Involving a Rational Exponent Ex:

15. Equation with Absolute Values Ex:

16. Homework 1-189 every other odd (1, 5, 9, 13, …, 189)