Directions: Show your work on all of these problems. You may find Word’s equation editor helpful in creating mathematical expressions in Word. There is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of hand writing your work and scanning it.
Complete the following problems in Chapter 2: Section Exercises.
- Section 2.1 Exercises (p. 120):
- Problems: 37-45 odd
- Section 2.2 Exercises (p. 130):
- Problems: 5-11 odd
- Section 2.3 Exercises (p. 144-145):
- Problems: 7-65 odd
Part II
Pick and solve one problem from each group of the following quadratic equations. Try picking problems that have not been chosen and explain what method you used to solve.
Group 1
1. x^2 = 9
2. x^2 -1 = 15
3. x^2 + 4 = 29
Group 2
4. (x + 1)^2 = 4
5. x^2 + 4x + 4 = 25
6. x^2 + 3x = -2
A vertical line and a horizontal line intersect at the point (3,5). What are the equations of the lines?
In order to answer the initial question, you need to know what the equations of a vertical and horizontal line look like. You should have two equations.
1. What is the slope of a horizontal line if it has one? Explain.
2. What is the slope of a vertical line if it has one? Explain.
3. Find the slope of the line passing through the points (1,3) and (4,7).
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