### Exam 4 - Chapter 7

1. Solve a quadratic equation by completing the square. This one is fairly nice, leading coefficient of one, even linear coefficient. Make sure you complete the square or you won't get any credit. Look at problems 37 - 44 in section 7.1; 9 - 10 in the review.
2. Solve a quadratic equation by completing the square. This one is a little bit tougher, fractions will be involved. Make sure you complete the square or you won't get any credit. Look at problems 45 - 52 in section 7.1; 7 - 8, 11 - 12 in the review.
3. Solve a quadratic equation. Look at those like 11 - 16 in section 7.1; 1 - 6 in the review.
4. Solve a quadratic equation. Look at those involving decimals like 15 - 16 in section 7.2; 21 - 22 in the review.
5. Solve a quadratic equation. Look at those like 21 - 26 in section 7.1; 23 - 26 in section 7.2; 25 - 26 in the review.
6. Find all solutions to a polynomial equation. Look at 43 - 48 in section 7.2; 27 - 28 in the review.
7. Find all solutions to a rational equation. Look at problems 29 - 36 in section 7.2; 33 - 36 in the review.
8. Use the discriminant to identify the number an types of solutions for a quadratic equation. Look at problems 1 - 12 in section 7.3; 39 - 46 in the review.
9. Use the discriminant to identify the number an types of solutions for a quadratic equation. Look at problems 1 - 12 in section 7.3; 39 - 46 in the review.
10. Determine k so that the equation has exactly one solution. Look at problems 13 - 22 in section 7.3; 47 - 52 in the review.
11. Determine the equation which has the given solutions. Be aware of multiplicity. Look at problems 41 - 44 in section 7.3.
12. Determine the equation which has the given solutions. All solutions have multiplicity 1. Look at problems 23 - 40 in section 7.3; 53 - 58 in the review.
13. Find the solutions to an equation in quadratic form. Look at problems 17 - 34 in section 7.4; 61 - 72 in the review.
14. Find the solutions to a radical equation. Be sure to check solutions if you square both sides of the equation. Look at problems 73 - 78 in the review. This is the same type of problem we did in section 6.6 except now you may need to be able to solve a quadratic equation to find the solutions. You should make sure that one radical is isolated before squaring both sides.
15. Solve an inequality and graph the solution set. Look at problems 1 - 22 in section 7.5; 81 - 86 in the review.
16. Solve an inequality and graph the solution set. Look at problems 23 - 34 in section 7.5; 87 - 90 in the review.
17. Find the x and y intercepts of a parabola. For a parabola which opens up or down, the x-intercepts may or may not exist. Find the vertex and the axis of symmetry. Then sketch the parabola. Look at problems 1 - 12 in section 7.6.
18. Find the x and y intercepts of a parabola. For a parabola which opens left or right, the y-intercepts may or may not exist. Find the vertex and the axis of symmetry. Then sketch the parabola. Look at problems 1 - 12 in section 7.6b.
The problems here are not exactly out of the text, but they are sufficiently close to problems in the text.

#### There are a couple of options available to you on this exam

You may work alone on the entire test. Your homework score will be the your own.
... or ...
You may work with up to two other people on the exam. However, if you choose this option, your homework score will be the lowest of all the homework scores of the people in your group. Also, if you choose this option, you will still have to work alone for the first 30 minutes, and then you may work in your group for the last 20 minutes. Each person in the group must turn in a paper, not one paper for the entire group.