# Study Guide: Chapters 1 & 2

## Math 116

- Use absolute value notation to describe a situation. Look at problems 55 - 60 in section 1.1
- Identify the rule(s) of algebra being used. Look at problems 13 - 22 in section 1.2
- Write in simplified radical form. Look at problems 31 - 42 in section 1.3
- Completely factor. Three parts. Look at problems 51 - 80 in section 1.5*
- Simplify a calculus type expression. Look at problems 51 - 55 in section 1.7*
- Solve a rational equation. Look at problems 37 - 52 in section 2.1*
- Application problem. Be sure to include a definition statement. Look at problems 47 - 61 in
section 2.2*
- Solve a quadratic equation by completing the square. You
*must* complete the square to get
credit for this problem. Look at problems 35 - 44 in section 2.3*
- Use the quadratic formula to solve an equation. Look at problems 7 - 27 in section 2.4*
- Write the complex conjugate of a number. Then find the product of the number and its
complex conjugate. Look at problems 27 - 34 in section 2.5*
- Find the quotient of complex numbers. Look at problems 49 - 56 in section 2.5*
- Solve a quadratic equation for x. Write answers in standard form. Look at problems 57 - 64
in section 2.5*
- Find all solutions to a higher order polynomial. Look at problems 1 - 19 in section 2.6*
- Find all solutions to a radical equation. Look at problems 27 - 43 in section 2.6*
- Find all solutions to a rational equation. Look at problems 53 - 62 in section 2.6*
- Find all solutions to an absolute value equation. Look at problems 63 - 70 in section 2.6*
- Write an inequality to represent the given interval. Look at problems 1 - 4 in section 2.7*
- Solve the inequality and give the answer in interval notation. Two parts. Look at problems 1 -
33 in section 2.8*
- Application problem involving quadratic formula. Definition statement is already provided.
Look at problems 73 - 81 in section 2.3*

* Problem is directly from text.