## Math 098 - Chapter 9-10 Study Guide

- Solve the quadratic equation using any algebraic technique. Algebraic techniques include
factoring, extraction of roots, completing the square, and the quadratic formula. Seven parts
(6 from 9.3 and 1 from 9.4). Look at problems 9.3.27 - 9.3.51 and 9.4.3 - 9.4.13.
- Solve the inequality. Write the answer in interval notation. Two parts. Look at problems
9.6.23 - 9.6.29 and 9.6.49 - 9.6.63.
- Consider a quadratic function. Sketch the graph of the function. Find the domain and range
of the function. Find the x-intercepts (if any) and the y-intercept. Find the vertex and the axis
of symmetry. Look at problems 9.8.73 - 9.8.77.
- Determine the center and radius of the given relation. Look at problems 10.2.25 - 10.2.33.
- Sketch the graph of the given equation. Look at problems 10.2.51 - 10.2.63.
- Determine the center and radius of the circle. Look at problems 10.2.65 - 10.2.77.
- Use the discriminant to determine the number and nature of the solutions of the given
equation. Two parts. Look at problems 9.3.55 - 9.3.61.
- Write a quadratic equation with integer coefficients that has the given pair of numbers as
solutions. Look at problems 9.1.79 - 9.1.85.
- Solve the quadratic equation by factoring. Look at problems 9.1.17 - 9.1.25.
- Solve the quadratic equation by extraction of roots. Look at problems 9.1.29 - 9.1.36.
- Solve the quadratic equation by completing the square. Look at problems 9.2.31 - 9.2.37.
- Solve the quadratic equation by the quadratic formula. Look at problems 9.3.17 - 9.3.23.

### Notes:

- All of the problems are directly from the textbook.
- In problem 1, you are free to use whichever technique you want to.
- Problems 9-12 request that you solve the problem using a particular technique. 2 of the points
are for using the correct technique, 3 of the points are for obtaining the correct solution. So, if
you cannot use that technique, go ahead and solve the problem using some other technique for
some of the credit.

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
Tot |

Pts |
35 |
10 |
10 |
5 |
5 |
5 |
6 |
4 |
5 |
5 |
5 |
5 |
100 |